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<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Normal257" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="4" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 2" alignment="left" bullet="alphabetic" firstindent="0" leftmargin="36" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/>
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<Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
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<Page-Numbers enabled="false" first-number="1" first-numbered-page="1" horizontal-location="right" style="Page Number" vertical-location="bottom"/>
<Task-table>
    <Task-category name="&lt;default&gt;">
    </Task-category>
</Task-table>
<Annotation-table>
    <Annotation-category name="&lt;default&gt;">
    </Annotation-category>
</Annotation-table>
<Task>
</Task>
<Group labelreference="L100" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Example 6.6  </Text-field>
</Input>
</Group>
<Group labelreference="L102" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;with(linalg):with(plots):</Text-field>
</Input>
</Group>
<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ge1:=diff(u1(x,y),y$2)=-diff(u1(x,y),x$2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkZ2UxRzYiLy1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSN1MUdGJDYkSSJ4R0YkSSJ5R0YkLUkiJEdGKDYkRi4iIiMsJC1GJzYkRiotRjA2JEYtRjIhIiI=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JI3UxRzYiNiRJInhHRitJInlHRitGLkYuLCQtRiQ2JC1GJDYkRilGLUYtISIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ge2:=diff(u2(x,y),y$2)=-diff(u2(x,y),x$2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkZ2UyRzYiLy1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSN1MkdGJDYkSSJ4R0YkSSJ5R0YkLUkiJEdGKDYkRi4iIiMsJC1GJzYkRiotRjA2JEYtRjIhIiI=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JI3UyRzYiNiRJInhHRitJInlHRitGLkYuLCQtRiQ2JC1GJDYkRilGLUYtISIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Digits:=40</Text-field>
</Input>
<Output>
<Text-field style="Warning" layout="Warning">Warning, inserted missing semicolon at end of statement</Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknRGlnaXRzRzYiIiNT">IiNT</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=diff(u1(x,y),x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMxRzYiLUklZGlmZkclKnByb3RlY3RlZEc2JC1JI3UxR0YkNiRJInhHRiRJInlHRiRGLA==">LUklZGlmZkclKnByb3RlY3RlZEc2JC1JI3UxRzYiNiRJInhHRihJInlHRihGKg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=diff(u2(x,y),x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMyRzYiLUklZGlmZkclKnByb3RlY3RlZEc2JC1JI3UyR0YkNiRJInhHRiRJInlHRiRGLA==">LUklZGlmZkclKnByb3RlY3RlZEc2JC1JI3UyRzYiNiRJInhHRihJInlHRihGKg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc31:=u1(x,y);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklYmMzMUc2Ii1JI3UxR0YkNiRJInhHRiRJInlHRiQ=">LUkjdTFHNiI2JEkieEdGJEkieUdGJA==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc32:=diff(u2(x,y),y);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklYmMzMkc2Ii1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSN1MkdGJDYkSSJ4R0YkSSJ5R0YkRi0=">LUklZGlmZkclKnByb3RlY3RlZEc2JC1JI3UyRzYiNiRJInhHRihJInlHRihGKw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc41:=u1(x,y)-1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklYmM0MUc2IiwmLUkjdTFHRiQ2JEkieEdGJEkieUdGJCIiIkYrISIi">LCYtSSN1MUc2IjYkSSJ4R0YlSSJ5R0YlIiIiISIiRik=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc42:=u2(x,y)-1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklYmM0Mkc2IiwmLUkjdTJHRiQ2JEkieEdGJEkieUdGJCIiIkYrISIi">LCYtSSN1Mkc2IjYkSSJ4R0YlSSJ5R0YlIiIiISIiRik=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bcalpha:=diff(u1(x,y),x)=diff(u2(x,y),x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkoYmNhbHBoYUc2Ii8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkjdTFHRiQ2JEkieEdGJEkieUdGJEYtLUYnNiQtSSN1MkdGJEYsRi0=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSN1MUc2IjYkSSJ4R0YpSSJ5R0YpRistRiQ2JC1JI3UyR0YpRipGKw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">alpha:=1/2;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmYWxwaGFHNiIjIiIiIiIj">IyIiIiIiIw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">h1:=alpha/(N+1);h2:=(1-alpha)/(M+1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjaDFHNiIsJComIyIiIiIiI0YoLCZJIk5HRiRGKEYoRighIiJGKA==">LCQqJCwmSSJORzYiIiIiRidGJyEiIiNGJyIiIw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjaDJHNiIsJComIyIiIiIiI0YoLCZJIk1HRiRGKEYoRighIiJGKA==">LCQqJCwmSSJNRzYiIiIiRidGJyEiIiNGJyIiIw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">N:=3;M:=3;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTkc2IiIiJA==">IiIk</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTUc2IiIiJA==">IiIk</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L16" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">H:=0.5;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiSEc2IiQiIiYhIiI=">JCIiJiEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L17" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxf:=1/2*(-u[2](y)-3*u[0](y)+4*u[1](y))/h1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmZHlkeGZHNiIsKComIiIlIiIiLSZJInVHRiQ2IyIiIzYjSSJ5R0YkRighIiIqJiIjN0YoLSZGKzYjIiIhRi5GKEYwKiYiIztGKC0mRis2I0YoRi5GKEYo">LCgtJkkidUc2IjYjIiIjNiNJInlHRiYhIiUtJkYlNiMiIiFGKSEjNy0mRiU2IyIiIkYpIiM7</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L18" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxb:=1/2*(u[N+M](y)+3*u[N+M+2](y)-4*u[N+M+1](y))/h2;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmZHlkeGJHNiIsKComIiIlIiIiLSZJInVHRiQ2IyIiJzYjSSJ5R0YkRihGKComIiM3RigtJkYrNiMiIilGLkYoRigqJiIjO0YoLSZGKzYjIiIoRi5GKCEiIg==">LCgtJkkidUc2IjYjIiInNiNJInlHRiYiIiUtJkYlNiMiIilGKSIjNy0mRiU2IyIiKEYpISM7</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxb2:=1/2*(u[N-1](y)+3*u[N+1](y)-4*u[N](y))/h1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknZHlkeGIyRzYiLCgqJiIiJSIiIi0mSSJ1R0YkNiMiIiM2I0kieUdGJEYoRigqJiIjN0YoLSZGKzYjRidGLkYoRigqJiIjO0YoLSZGKzYjIiIkRi5GKCEiIg==">LCgtJkkidUc2IjYjIiIjNiNJInlHRiYiIiUtJkYlNiNGK0YpIiM3LSZGJTYjIiIkRikhIzs=</Equation></Text-field>
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</Group>
<Group labelreference="L20" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxf2:=1/2*(-u[N+3](y)-3*u[N+1](y)+4*u[N+2](y))/h2;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknZHlkeGYyRzYiLCgqJiIiJSIiIi0mSSJ1R0YkNiMiIic2I0kieUdGJEYoISIiKiYiIzdGKC0mRis2I0YnRi5GKEYwKiYiIztGKC0mRis2IyIiJkYuRihGKA==">LCgtJkkidUc2IjYjIiInNiNJInlHRiYhIiUtJkYlNiMiIiVGKSEjNy0mRiU2IyIiJkYpIiM7</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydx:=piecewise(i&lt;N+1,1/2/h1*(u[m+1](y)-u[m-1](y)),i&gt;N+1,1/2/h2*(u[m+1](y)-u[m-1](y)));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklZHlkeEc2Ii1JKlBJRUNFV0lTRUdGJDYkNyQsJiomIiIlIiIiLSZJInVHRiQ2IywmSSJtR0YkRixGLEYsNiNJInlHRiRGLEYsKiZGK0YsLSZGLzYjLCZGMkYsRiwhIiJGM0YsRjoySSJpR0YkRis3JEYpMkYrRjw=">LUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYmMkkiaUc2IiIiJSwmLSZJInVHRig2IywmSSJtR0YoIiIiRjFGMTYjSSJ5R0YoRiktJkYtNiMsJkYwRjEhIiJGMUYyISIlMkYpRidGKg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L22" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">d2ydx2:=piecewise(i&lt;N+1,1/h1^2*(u[m-1](y)-2*u[m](y)+u[m+1](y)),i&gt;N+1,1/h2^2*(u[m-1](y)-2*u[m](y)+u[m+1](y)));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknZDJ5ZHgyRzYiLUkqUElFQ0VXSVNFR0YkNiQ3JCwoKiYiI2siIiItJkkidUdGJDYjLCZJIm1HRiRGLEYsISIiNiNJInlHRiRGLEYsKiYiJEciRiwtJkYvNiNGMkY0RixGMyomRitGLC0mRi82IywmRjJGLEYsRixGNEYsRiwySSJpR0YkIiIlNyRGKTJGQkZB">LUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYmMkkiaUc2IiIiJSwoLSZJInVHRig2IywmSSJtR0YoIiIiISIiRjE2I0kieUdGKCIjay0mRi02I0YwRjMhJEciLSZGLTYjLCZGMEYxRjFGMUYzRjUyRilGJ0Yq</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L23" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=subs(diff(u1(x,y),x)=subs(m=0,dydxf),u1(x,y)=u[0](y),bc1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMxRzYiLCgqJiIiJSIiIi0mSSJ1R0YkNiMiIiM2I0kieUdGJEYoISIiKiYiIzdGKC0mRis2IyIiIUYuRihGMComIiM7RigtJkYrNiNGKEYuRihGKA==">LCgtJkkidUc2IjYjIiIjNiNJInlHRiYhIiUtJkYlNiMiIiFGKSEjNy0mRiU2IyIiIkYpIiM7</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L24" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=subs(diff(u2(x,y),x)=dydxb,u2(x,y)=u[N+M+2](y),bc2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMyRzYiLCgqJiIiJSIiIi0mSSJ1R0YkNiMiIic2I0kieUdGJEYoRigqJiIjN0YoLSZGKzYjIiIpRi5GKEYoKiYiIztGKC0mRis2IyIiKEYuRighIiI=">LCgtJkkidUc2IjYjIiInNiNJInlHRiYiIiUtJkYlNiMiIilGKSIjNy0mRiU2IyIiKEYpISM7</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L25" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bcalpha:=subs(diff(u1(x,y),x)=dydxb2,diff(u2(x,y),x)=dydxf2,u1(x,y)=u[N+1](y),u2(x,y)=u[N+1](y),bcalpha);</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkoYmNhbHBoYUc2Ii8sKComIiIlIiIiLSZJInVHRiQ2IyIiIzYjSSJ5R0YkRilGKSomIiM3RiktJkYsNiNGKEYvRilGKSomIiM7RiktJkYsNiMiIiRGL0YpISIiLCgqJkYoRiktJkYsNiMiIidGL0YpRjxGMUY8KiZGN0YpLSZGLDYjIiImRi9GKUYp">LywoLSZJInVHNiI2IyIiIzYjSSJ5R0YnIiIlLSZGJjYjRixGKiIjNy0mRiY2IyIiJEYqISM7LCgtJkYmNiMiIidGKiEiJUYtISM3LSZGJjYjIiImRioiIzs=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L26" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[0]:=bc1; </Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiEsKComIiIlIiIiLSZJInVHRiU2IyIiIzYjSSJ5R0YlRishIiIqJiIjN0YrLSZGLkYmRjFGK0YzKiYiIztGKy0mRi42I0YrRjFGK0Yr">LCgtJkkidUc2IjYjIiIjNiNJInlHRiYhIiUtJkYlNiMiIiFGKSEjNy0mRiU2IyIiIkYpIiM7</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L27" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[N+1]:=bcalpha; </Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiUvLCgqJkYnIiIiLSZJInVHRiU2IyIiIzYjSSJ5R0YlRitGKyomIiM3RistJkYuRiZGMUYrRisqJiIjO0YrLSZGLjYjIiIkRjFGKyEiIiwoKiZGJ0YrLSZGLjYjIiInRjFGK0Y9RjNGPSomRjhGKy0mRi42IyIiJkYxRitGKw==">LywoLSZJInVHNiI2IyIiIzYjSSJ5R0YnIiIlLSZGJjYjRixGKiIjNy0mRiY2IyIiJEYqISM7LCgtJkYmNiMiIidGKiEiJUYtISM3LSZGJjYjIiImRioiIzs=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L28" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[N+M+2]:=bc2;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiksKComIiIlIiIiLSZJInVHRiU2IyIiJzYjSSJ5R0YlRitGKyomIiM3RistJkYuRiZGMUYrRisqJiIjO0YrLSZGLjYjIiIoRjFGKyEiIg==">LCgtJkkidUc2IjYjIiInNiNJInlHRiYiIiUtJkYlNiMiIilGKSIjNy0mRiU2IyIiKEYpISM7</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L29" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal"> When the governing equation is converted to finite difference form x has to be defined according to region 1 and region 2.  The finite difference equations for region 1 are:</Text-field>
</Input>
</Group>
<Group labelreference="L30" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[N+M+2+i]:=diff(u[N+M+2+i](y),y)= subs(diff(u1(x,y),x$2) = subs(m=i,d2ydx2),diff(u1(x,y),x) = subs(m=i,dydx),diff(u1(x,y),y)=u[N+M+2+i](y),u1(x,y)=u[i](y),x=i*h1,rhs(ge1));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiovLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLCgqJiIjayIiIi0mRi82IyIiIUYwRjUhIiIqJiIkRyJGNS0mRi82I0Y1RjBGNUY1KiZGNEY1LSZGLzYjIiIjRjBGNUY6">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIqNiNJInlHRipGLiwoLSZGKTYjIiIhRi0hI2stJkYpNiMiIiJGLSIkRyItJkYpNiMiIiNGLUY0</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzUvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLCgqJiIjayIiIi0mRi82I0Y1RjBGNSEiIiomIiRHIkY1LSZGLzYjIiIjRjBGNUY1KiZGNEY1LSZGLzYjIiIkRjBGNUY5">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM1NiNJInlHRipGLiwoLSZGKTYjIiIiRi0hI2stJkYpNiMiIiNGLSIkRyItJkYpNiMiIiRGLUY0</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzYvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLCgqJiIjayIiIi0mRi82IyIiI0YwRjUhIiIqJiIkRyJGNS0mRi82IyIiJEYwRjVGNSomRjRGNS0mRi82IyIiJUYwRjVGOg==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM2NiNJInlHRipGLiwoLSZGKTYjIiIjRi0hI2stJkYpNiMiIiRGLSIkRyItJkYpNiMiIiVGLUY0</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L31" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to M do eq[2*N+M+2+i]:=diff(u[2*N+M+2+i](y),y)= subs(diff(u2(x,y),x$2) = subs(m=N+1+i,d2ydx2),diff(u2(x,y),x) = subs(m=N+1+i,dydx),diff(u2(x,y),y)=u[2*N+M+2+i](y),u2(x,y)=u[N+1+i](y),x=alpha+i*h2,rhs(ge2));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzcvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLCgqJiIjayIiIi0mRi82IyIiJUYwRjUhIiIqJiIkRyJGNS0mRi82IyIiJkYwRjVGNSomRjRGNS0mRi82IyIiJ0YwRjVGOg==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM3NiNJInlHRipGLiwoLSZGKTYjIiIlRi0hI2stJkYpNiMiIiZGLSIkRyItJkYpNiMiIidGLUY0</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzgvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLCgqJiIjayIiIi0mRi82IyIiJkYwRjUhIiIqJiIkRyJGNS0mRi82IyIiJ0YwRjVGNSomRjRGNS0mRi82IyIiKEYwRjVGOg==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM4NiNJInlHRipGLiwoLSZGKTYjIiImRi0hI2stJkYpNiMiIidGLSIkRyItJkYpNiMiIihGLUY0</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzkvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLCgqJiIjayIiIi0mRi82IyIiJ0YwRjUhIiIqJiIkRyJGNS0mRi82IyIiKEYwRjVGNSomRjRGNS0mRi82IyIiKUYwRjVGOg==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM5NiNJInlHRipGLiwoLSZGKTYjIiInRi0hI2stJkYpNiMiIihGLSIkRyItJkYpNiMiIilGLUY0</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L32" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[0](y):=(solve(eq[0],u[0](y)));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIiE2I0kieUdGJiwmKiYjIiIiIiIkRi4tJkYlNiMiIiNGKUYuISIiKiYjIiIlRi9GLi0mRiU2I0YuRilGLkYu">LCYtJkkidUc2IjYjIiIjNiNJInlHRiYjISIiIiIkLSZGJTYjIiIiRikjIiIlRi0=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L33" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[N+1](y):=solve(eq[N+1],u[N+1](y));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIiU2I0kieUdGJiwqKiYjIiIiIiInRi4tJkYlNiMiIiNGKUYuISIiKiYjRjMiIiRGLi0mRiU2I0Y3RilGLkYuKiZGLUYuLSZGJTYjRi9GKUYuRjQqJkY2Ri4tJkYlNiMiIiZGKUYuRi4=">LCotJkkidUc2IjYjIiIjNiNJInlHRiYjISIiIiInLSZGJTYjIiIkRikjRihGMS0mRiU2I0YtRilGKy0mRiU2IyIiJkYpRjI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L34" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[N+M+2](y):=solve(eq[N+M+2],u[N+M+2](y));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIik2I0kieUdGJiwmKiYjIiIiIiIkRi4tJkYlNiMiIidGKUYuISIiKiYjIiIlRi9GLi0mRiU2IyIiKEYpRi5GLg==">LCYtJkkidUc2IjYjIiInNiNJInlHRiYjISIiIiIkLSZGJTYjIiIoRikjIiIlRi0=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L35" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i]:=diff(u[i](y),y)= u[N+M+2+i](y);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLSZGLzYjIiIqRjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIiNiNJInlHRipGLi0mRik2IyIiKkYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLSZGLzYjIiM1RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIjNiNJInlHRipGLi0mRik2IyIjNUYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiQvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLSZGLzYjIiM2RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIkNiNJInlHRipGLi0mRik2IyIjNkYt</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L36" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to M do eq[N+1+i]:=diff(u[N+1+i](y),y)= u[2*N+M+2+i](y);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiYvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLSZGLzYjIiM3RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiImNiNJInlHRipGLi0mRik2IyIjN0Yt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIicvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLSZGLzYjIiM4RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiInNiNJInlHRipGLi0mRik2IyIjOEYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIigvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLSZGLzYjIiM5RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIoNiNJInlHRipGLi0mRik2IyIjOUYt</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L37" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">h1:=alpha/(N+1);h2:=(1-alpha)/(M+1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjaDFHNiIjIiIiIiIp">IyIiIiIiKQ==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjaDJHNiIjIiIiIiIp">IyIiIiIiKQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L38" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i]:=eval(eq[i]);od;for i from 1 to M do eq[N+1+i]:=eval(eq[N+1+i]);od;for i from 1 to N do eq[N+M+2+i]:=eval(eq[N+M+2+i]);od;for i from 1 to M do eq[2*N+M+2+i]:=eval(eq[2*N+M+2+i]);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLSZGLzYjIiIqRjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIiNiNJInlHRipGLi0mRik2IyIiKkYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLSZGLzYjIiM1RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIjNiNJInlHRipGLi0mRik2IyIjNUYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiQvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLSZGLzYjIiM2RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIkNiNJInlHRipGLi0mRik2IyIjNkYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiYvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLSZGLzYjIiM3RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiImNiNJInlHRipGLi0mRik2IyIjN0Yt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIicvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLSZGLzYjIiM4RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiInNiNJInlHRipGLi0mRik2IyIjOEYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIigvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLSZGLzYjIiM5RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIoNiNJInlHRipGLi0mRik2IyIjOUYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiovLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLCYqJiMiJEciIiIkIiIiLSZGLzYjIiIjRjBGNyEiIiomRjRGNy0mRi82I0Y3RjBGN0Y3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIqNiNJInlHRipGLiwmLSZGKTYjIiIjRi0jISRHIiIiJC0mRik2IyIiIkYtIyIkRyJGNg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzUvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLCgqJiIjayIiIi0mRi82I0Y1RjBGNSEiIiomIiRHIkY1LSZGLzYjIiIjRjBGNUY1KiZGNEY1LSZGLzYjIiIkRjBGNUY5">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM1NiNJInlHRipGLiwoLSZGKTYjIiIiRi0hI2stJkYpNiMiIiNGLSIkRyItJkYpNiMiIiRGLUY0</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzYvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLCoqJiMiJGciIiIkIiIiLSZGLzYjIiIjRjBGNyEiIiomIyIkYyNGNkY3LSZGLzYjRjZGMEY3RjcqJiMiI0tGNkY3LSZGLzYjIiInRjBGN0Y3KiYjIiRHIkY2RjctJkYvNiMiIiZGMEY3Rjw=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM2NiNJInlHRipGLiwqLSZGKTYjIiIjRi0jISRnIiIiJC0mRik2I0Y2Ri0jIiRjI0Y2LSZGKTYjIiInRi0jIiNLRjYtJkYpNiMiIiZGLSMhJEciRjY=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzcvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLCoqJiMiI0siIiQiIiItJkYvNiMiIiNGMEY3RjcqJiMiJEciRjZGNy0mRi82I0Y2RjBGNyEiIiomIyIkZyJGNkY3LSZGLzYjIiInRjBGN0ZCKiYjIiRjI0Y2RjctJkYvNiMiIiZGMEY3Rjc=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM3NiNJInlHRipGLiwqLSZGKTYjIiIjRi0jIiNLIiIkLSZGKTYjRjZGLSMhJEciRjYtJkYpNiMiIidGLSMhJGciRjYtJkYpNiMiIiZGLSMiJGMjRjY=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzgvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLCgqJiIjayIiIi0mRi82IyIiJkYwRjUhIiIqJiIkRyJGNS0mRi82IyIiJ0YwRjVGNSomRjRGNS0mRi82IyIiKEYwRjVGOg==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM4NiNJInlHRipGLiwoLSZGKTYjIiImRi0hI2stJkYpNiMiIidGLSIkRyItJkYpNiMiIihGLUY0</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzkvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kieUdGJUYxLCYqJiMiJEciIiIkIiIiLSZGLzYjIiInRjBGNyEiIiomRjRGNy0mRi82IyIiKEYwRjdGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM5NiNJInlHRipGLiwmLSZGKTYjIiInRi0jISRHIiIiJC0mRik2IyIiKEYtIyIkRyJGNg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L39" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eqns:=[seq(rhs(eq[j]),j=1..N),seq(rhs(eq[N+1+j]),j=1..M),seq(rhs(eq[N+M+2+j]),j=1..N),seq(rhs(eq[2*N+M+2+j]),j=1..M)];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ny4tJkkidUc2IjYjIiIqNiNJInlHRiYtJkYlNiMiIzVGKS0mRiU2IyIjNkYpLSZGJTYjIiM3RiktJkYlNiMiIzhGKS0mRiU2IyIjOUYpLCYtJkYlNiMiIiNGKSMhJEciIiIkLSZGJTYjIiIiRikjIiRHIkZGLChGRyEja0ZARkwtJkYlNiNGRkYpRk4sKkZAIyEkZyJGRkZPIyIkYyNGRi0mRiU2IyIiJ0YpIyIjS0ZGLSZGJTYjIiImRilGRCwqRkBGZW5GT0ZERldGU0ZnbkZVLChGZ25GTkZXRkwtJkYlNiMiIihGKUZOLCZGV0ZERl1vRks=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L40" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=[seq(u[i](y),i=1..N),seq(u[N+1+i](y),i=1..M),seq(u[N+M+2+i](y),i=1..N),seq(u[2*N+M+2+i](y),i=1..M)];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiWUc2IjcuLSZJInVHRiQ2IyIiIjYjSSJ5R0YkLSZGKDYjIiIjRistJkYoNiMiIiRGKy0mRig2IyIiJkYrLSZGKDYjIiInRistJkYoNiMiIihGKy0mRig2IyIiKkYrLSZGKDYjIiM1RistJkYoNiMiIzZGKy0mRig2IyIjN0YrLSZGKDYjIiM4RistJkYoNiMiIzlGKw==">Ny4tJkkidUc2IjYjIiIiNiNJInlHRiYtJkYlNiMiIiNGKS0mRiU2IyIiJEYpLSZGJTYjIiImRiktJkYlNiMiIidGKS0mRiU2IyIiKEYpLSZGJTYjIiIqRiktJkYlNiMiIzVGKS0mRiU2IyIjNkYpLSZGJTYjIiM3RiktJkYlNiMiIzhGKS0mRiU2IyIjOUYp</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L41" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">A:=genmatrix(eqns,Y,'b1');</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiQUc2Ii1JJ21hdHJpeEdGJDYjNy43LiIiIUYqRipGKkYqRioiIiJGKkYqRipGKkYqNy5GKkYqRipGKkYqRipGKkYrRipGKkYqRio3LkYqRipGKkYqRipGKkYqRipGK0YqRipGKjcuRipGKkYqRipGKkYqRipGKkYqRitGKkYqNy5GKkYqRipGKkYqRipGKkYqRipGKkYrRio3LkYqRipGKkYqRipGKkYqRipGKkYqRipGKzcuIyIkRyIiIiQjISRHIkY0RipGKkYqRipGKkYqRipGKkYqRio3LiEja0YzRjhGKkYqRipGKkYqRipGKkYqRio3LkYqIyEkZyJGNCMiJGMjRjRGNSMiI0tGNEYqRipGKkYqRipGKkYqNy5GKkY+RjVGPEY6RipGKkYqRipGKkYqRio3LkYqRipGKkY4RjNGOEYqRipGKkYqRipGKjcuRipGKkYqRipGNUYyRipGKkYqRipGKkYq">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L42" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">A:=map(evalf,A);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">PTYiNiQ7IiIiIiM3RiVFXFtsW3Q2JEYnIiIpJCIiIUYsNiQiIiQiIiokRiZGLDYkIiM2RidGKzYkIiIoRi9GKzYkIiInRi5GKzYkRipGLiQhI2tGLDYkRjIiIiVGODYkIiImIiM1Ris2JEYvRiZGKzYkRi9GJ0YrNiQiIiNGPkYrNiRGL0YyRis2JEY7RidGKzYkRi5GKkYrNiRGMkYyRis2JEY0Rj5GKzYkRiZGNEYwNiRGO0ZCRis2JEY+RipGKzYkRjZGQkYrNiRGMkYuRis2JEY9RjJGMDYkRidGNEYrNiRGQkYmRis2JEYuRj5GKzYkRjRGKkYrNiRGL0YuJCJJTExMTExMTExMTExMTExMTExMTCYpISNRNiRGPkZCJCJJbm1tbW1tbW1tbW1tbW1tbW1tbTVGVTYkRjZGO0YrNiRGPkYmRis2JEYuRjRGKzYkRjJGPkYrNiRGPUYmRis2JEY0RjJGKzYkRiZGKkYrNiRGO0YuRis2JEY+RjRGKzYkRjZGJkYrNiRGKkYnRis2JEZCRjJGKzYkRi9GPkYrNiRGQkYqRjA2JEY0RkIkIUlubW1tbW1tbW1tbW1tbW1tbW1tVUZVNiRGL0YvRis2JEY2RjJGKzYkRjtGPkYwNiRGLkY2Ris2JEYyRi9GKzYkRj1GQkYrNiRGNEYnRis2JEYmRj1GKzYkRj5GPkYrNiRGJ0Y+Ris2JEZCRkJGKzYkRi5GMkYrNiRGNEY0Ris2JEY2Rj1GKzYkRipGQiQiJEciRiw2JEYyRj1GY3A2JEY9RipGKzYkRjtGMkYrNiRGLkY9Ris2JEYyRipGKzYkRj1GLkYrNiRGJkY2Ris2JEY7RiZGKzYkRj5GL0YrNiRGQkYvRis2JEYvRipGKzYkRjJGJkYrNiRGNkYnRjA2JEY9Ri9GKzYkRidGL0YrNiRGQkYuRis2JEYuRidGKzYkRjRGNkYrNiRGL0Y7RmJvNiRGNkY2Ris2JEYqRjRGKzYkRiZGQkYrNiRGJ0Y9RmJvNiRGQkY9Ris2JEY0RjtGKzYkRjtGKkYrNiRGPkY7RlM2JEY2RipGKzYkRidGO0YrNiRGLkYuRis2JEY9Rj1GKzYkRiZGJ0YrNiRGO0Y0Ris2JEYqRipGKzYkRi9GNkYrNiRGQkY7Ris2JEY0Rj1GKzYkRjtGL0YrNiRGNkY0Ris2JEYqRjZGKzYkRjRGJiQiSW5tbW1tbW1tbW1tbW1tbW1tbW1VRlU2JEYqRi9GKzYkRi9GNEYrNiRGJ0YuRis2JEYuRjtGKzYkRjJGNEYrNiRGPUY7Ris2JEYmRjJGKzYkRjtGNkYrNiRGPkY9JCFJTExMTExMTExMTExMTExMTExMTGBGVTYkRidGQkYrNiRGLkYmRis2JEY9RjRGKzYkRiZGPkYrNiRGO0Y9Ris2JEYnRjJGKzYkRipGPkYrNiRGL0Y9Rlc2JEYqRj1GKzYkRiZGO0YrNiRGPkYyRis2JEYnRjZGXnM2JEZCRjRGKzYkRi9GQkZpczYkRj5GLkZibzYkRjZGPkYrNiRGKkYmRjg2JEYnRidGKzYkRipGMkYrNiRGQkYnRis2JEYmRiZGKzYkRi5GQkYrNiRGMkY2Rjg2JEY9RjZGKzYkRiZGL0YrNiRGO0Y7Ris2JEY+RjZGKzYkRkJGNkYrNiRGNEYuRis2JEY2Ri9GKzYkRipGO0YrNiRGMkZCRis2JEY9RidGKzYkRiZGLkYrNiRGJ0YmRis2JEY+RidGKw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L43" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">#evalm(A):</Text-field>
</Input>
</Group>
<Group labelreference="L44" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">b:=matrix(2*(N+M),1):for i from 1 to 2*(N+M) do b[i,1]:=-b1[i];od:evalm(b):</Text-field>
</Input>
</Group>
<Group labelreference="L45" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">#J:=jordan(A,S);</Text-field>
</Input>
</Group>
<Group labelreference="L46" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat:=exponential(A,y):</Text-field>
</Input>
</Group>
<Group labelreference="L47" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat:=evalm(S&amp;*exponential(J,y)&amp;*inverse(S)):</Text-field>
</Input>
<Output>
<Text-field style="Error" layout="Error">Error, (in linalg:-matfunc) input must be a matrix</Text-field>
</Output>
</Group>
<Group labelreference="L48" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat1:=evalm(subs(zeta=zeta-zeta1,evalm(mat))):</Text-field>
</Input>
</Group>
<Group labelreference="L49" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">b2:=evalm(subs(zeta=zeta1,evalm(b))):</Text-field>
</Input>
</Group>
<Group labelreference="L50" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat2:=evalm(mat1&amp;*b2):</Text-field>
</Input>
</Group>
<Group labelreference="L51" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat2:=map(expand,mat2):</Text-field>
</Input>
</Group>
<Group labelreference="L52" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat3:=map(int,mat2,zeta1=0..zeta):</Text-field>
</Input>
</Group>
<Group labelreference="L53" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y0:=matrix(2*(N+M),1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjWTBHNiItSSZhcnJheUclKnByb3RlY3RlZEc2JTsiIiIiIzc7RipGKjci">PTYiNiQ7IiIiIiM3O0YmRiZFXFtsIQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L54" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N+M do Y0[i,1]:=p[i];od:</Text-field>
</Input>
</Group>
<Group labelreference="L55" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N+M do Y0[N+M+i,1]:=c[i]:od:</Text-field>
</Input>
</Group>
<Group labelreference="L56" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalm(Y0):</Text-field>
</Input>
</Group>
<Group labelreference="L57" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=evalm(mat&amp;*Y0+mat3):</Text-field>
</Input>
</Group>
<Group labelreference="L58" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol0:=map(eval,evalm(subs(y=0,evalm(Y)))):</Text-field>
</Input>
</Group>
<Group labelreference="L59" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol1:=map(eval,evalm(subs(y=H,evalm(Y)))):</Text-field>
</Input>
</Group>
<Group labelreference="L60" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Eq[i]:=subs(diff(u1(x,y),y)=c[i],u1(x,y)=p[i],x=i*h1,bc31);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiImSSJwR0YlRiY=">JkkicEc2IjYjIiIi</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiMmSSJwR0YlRiY=">JkkicEc2IjYjIiIj</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiQmSSJwR0YlRiY=">JkkicEc2IjYjIiIk</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L61" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from N+1 to N+M do Eq[i]:=subs(diff(u2(x,y),y)=c[i],u2(x,y)=p[i],x=alpha+(i-N-1)*h2,bc32);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiUmSSJjR0YlRiY=">JkkiY0c2IjYjIiIl</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiYmSSJjR0YlRiY=">JkkiY0c2IjYjIiIm</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIicmSSJjR0YlRiY=">JkkiY0c2IjYjIiIn</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L62" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Eq[N+M+i]:=evalf(subs(diff(u1(x,y),y)=sol1[N+M+i,1],u1(x,y)=sol1[i,1],x=i*h1,bc41));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L63" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to M do Eq[2*N+M+i]:=evalf(subs(diff(u2(x,y),y)=sol1[2*N+M+i,1],u2(x,y)=sol1[N+i,1],x=alpha+i*h2,bc42));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIzUsPComLCYkIkl1XWhROHpLenY2VnE4M2pnQmk4RSEjUSEiIiomJCJJPjEqb208TC4hW2tQWy1icWkoUWRGIyEjISkiIiJeI0YzRjNGM0YzJkkicEdGJTYjRjNGM0YzKiYsJiQiSTkuWT4vSnVUUFkqZiZmJEdXUjd6JikpRi1GMyomJCJJeSx3VyFlZ2QicCshb0lrOykpKioqKioqSCIhI3JGM0Y0RjNGLkYzJkY2NiMiIiNGM0YzKiYsJiQiSVJNVihHVSMqb1QpNE5Day5lS2JJPDYhI1BGLiomJCJJaCopbzkiR1lQJFFkWXVqcCFHKioqKioqKm8hI3NGM0Y0RjNGLkYzJkY2NiMiIiRGM0YzKiYsJiQiSTMmcGZHW1o1XDctXlNxIz1fayllaCJGR0YzKiYkIkl2QGQtR0IoKSkpPiJHQzg8S0AqKioqKioqZkZLRjNGNEYzRjNGMyZGNjYjIiIlRjNGMyomLCYkIkkkKUhHcXAkSFlXaC0tQVskR2BEdFQ8RkdGLiomJCJJXSdRXTheb2QqUngqSC5KRVYhWz85NkYyRjNGNEYzRi5GMyZGNjYjIiImRjNGMyomLCYkIkkqZnImKT1fcFxlIVsnKjN5USwuakEoRydGLUYzKiYkIklFIlwmNGxbYTQ1YFgpPTs4ITQxT2lJISN0RjNGNEYzRjNGMyZGNjYjIiInRjNGMyomLCYkIkkkKm9mNHkmPSUqZTR4KylwZ2okKUhaQzohI1JGLiomJCJJdzlLJHBpKVIiW2dmYGsrKysrKysrIkZLRjNGNEYzRi5GMyZJImNHRiVGN0YzRjMqJiwmJCJJSWgjUi4kbyEzeFosPVd6YztoKFEibyZGXHBGMyomJCJJJ2ZZZyxOJjQvKSkpRyZvYko6KT1RKjRTISMnKUYzRjRGM0YzRjMmRmFwRkFGM0YzKiYsJiQiSVRZKlJyNWBrdCRvOi1CNTQ7cW9BekZccEYuKiYkIkkwRCopM2BJdSU+elQ9VCkpKioqKioqKioqKio+RktGM0Y0RjNGM0YzJkZhcEZNRjNGMyomLCYkIkkiXDFFdSIpKVElZUwxX256RnFpQihSN0YtRjMqJiQiSUVMdDEhKW9pMF8zOGUnKSoqKioqKioqKioqKnBGS0YzRjRGM0YzRjMmRmFwRldGM0YzKiYsJiQiSTZ2a20hb01GXygzWjNDVldBS3U3N0YtRi4qJiQiSTwpZkZuazIlPk5qNF5FKysrKysrNUZLRjNGNEYzRi5GMyZGYXBGW29GM0YzKiYsJiQiSTZdLVh0XzMjcGcjM3RyYkJVJG9mKlJGXHBGMyomJCJISTEmZm0/WGpEYilvaFg+aFIqRz07RmlwRjNGNEYzRjNGMyZGYXBGZm9GM0YzJEYzIiIhRi4=">LDwqJl4kJCFJdV1oUTh6S3p2NlZxODNqZ0JpOEUhI1EkIkk+MSpvbTxMLiFba1BbLWJxaShRZEYjISMhKSIiIiZJInBHNiI2I0YrRitGKyomXiQkIkk5Llk+L0p1VFBZKmYmZiRHV1I3eiYpKUYnJCFJeSx3VyFlZ2QicCshb0lrOykpKioqKioqSCIhI3JGKyZGLTYjIiIjRitGKyomXiQkIUlSTVYoR1UjKm9UKTROQ2suZUtiSTw2ISNQJCFJaCopbzkiR1lQJFFkWXVqcCFHKioqKioqKm8hI3NGKyZGLTYjIiIkRitGKyomXiQkIkkzJnBmR1taNVw3LV5TcSM9X2spZWgiRj4kIkl2QGQtR0IoKSkpPiJHQzg8S0AqKioqKioqZkZBRismRi02IyIiJUYrRisqJl4kJCFJJClIR3FwJEhZV2gtLUFbJEdgRHRUPEY+JCFJXSdRXTheb2QqUngqSC5KRVYhWz85NkYqRismRi02IyIiJkYrRisqJl4kJCJJKmZyJik9X3BcZSFbJyozeVEsLmpBKEcnRickIklFIlwmNGxbYTQ1YFgpPTs4ITQxT2lJISN0RismRi02IyIiJ0YrRisqJl4kJCFJJCpvZjR5Jj0lKmU0eCspcGdqJClIWkM6ISNSJCFJdzlLJHBpKVIiW2dmYGsrKysrKysrIkZBRismSSJjR0YuRi9GK0YrKiZeJCQiSUloI1IuJG8hM3haLD1XemM7aChRIm8mRl9vJCJJJ2ZZZyxOJjQvKSkpRyZvYko6KT1RKjRTISMnKUYrJkZjb0Y4RitGKyomXiQkIUlUWSpScjVga3QkbzotQjU0O3FvQXpGX28kIkkwRCopM2BJdSU+elQ9VCkpKioqKioqKioqKio+RkFGKyZGY29GQ0YrRisqJl4kJCJJIlwxRXUiKSlRJWVMMV9uekZxaUIoUjdGJyQiSUVMdDEhKW9pMF8zOGUnKSoqKioqKioqKioqKnBGQUYrJkZjb0ZMRitGKyomXiQkIUk2dmttIW9NRl8oM1ozQ1ZXQUt1NzdGJyQhSTwpZkZuazIlPk5qNF5FKysrKysrNUZBRismRmNvRlVGK0YrKiZeJCQiSTZdLVh0XzMjcGcjM3RyYkJVJG9mKlJGX28kIkhJMSZmbT9YakRiKW9oWD5oUipHPTtGam9GKyZGY29GaW5GK0YrJCEiIiIiIUYr</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIzcsPComLCYkIklIPE5idCdHIyopRz1rc24obyNbVTJpJSkhI1MhIiIqJiQiSSV5UmYvP2BKPChRKmU/IkddRmV5bW0hI3YiIiJeI0YzRjNGM0YzJkkicEdGJTYjRjNGM0YzKiYsJiQiSVFXdFo7QVxTSUhFKlwpPT9RTHRGXyEjUkYzKiYkIklvZEwoZl1YPlQqW2E2KEh3JWZhMkNHISMhKUYzRjRGM0YzRjMmRjY2IyIiI0YzRjMqJiwmJCJJRTF2XTJdJT5iJT1gUylwY0xlWiw4IiEjUUYuKiYkIkkqKW8hcGY2bSl5NTt4Tjwnb14sKysrJiEjc0YzRjRGM0YzRjMmRjY2IyIiJEYzRjMqJiwmJCJJZnJxKzttZWR2YTF6aShSZF9eUCFbRkhGMyomJCJJKEh2UHEoZjpaLGpXYSF5PTorKysrIiEjckYzRjRGM0YuRjMmRjY2IyIiJUYzRjMqJiwmJCJJXkg5WzkpKmYzK3kmZjRsRUFaJz0jMypGSEYuKiYkIklUMlZzLCJRYjdPIT5zSihcdi0rKysnRkxGM0Y0RjNGLkYzJkY2NiMiIiZGM0YzKiYsJiQiSVJVIiplJylHV3FEeUJ2JjMxJlEqSC8yJkZIRjMqJiQiSV9mI3o7NG5DJylHOUo9d0lSJSoqKioqKioqRkxGM0Y0RjNGM0YzJkY2NiMiIidGM0YzKiYsJiQiSWBXPXRlM3phJ1wtSyVHMiU0MidlN1AhI1RGLiomJCJJZVh6JFx2MmdMZ3E0LSgpKioqKioqKioqKioqKiEjdEYzRjRGM0YzRjMmSSJjR0YlRjdGM0YzKiYsJiQiSTV1ciVbQjEqWy5ZWEVYaFRUXEAoZiNGLUYzKiYkIklaZ2NmIVxKUCc+bChvRScqKioqKioqKioqKioqKkZhcEYzRjRGM0YzRjMmRmNwRkJGM0YzKiYsJiQiSSd6bCNRR2dNZSh5L2JhSFRLSCUqUi8nRi1GLiomJCJJWWVrK28hel50TTZMc3MiXE4/ZUY9ISMnKUYzRjRGM0YuRjMmRmNwRk5GM0YzKiYsJiQiSSxaRD4pSCwmeSopZmJaSk8jenklKmUyJEY8RjMqJiQiSU04OHJ0dWoseVlvRl93MSpIZHE6JEZjcUYzRjRGM0YuRjMmRmNwRllGM0YzKiYsJiQiSU8yLSIpKmZJOVx0X2I0MUdwNW1kcSdGPEYuKiYkIkkqKVJUKil6JypSVEk4KDQwMisrKysrKyJGTEYzRjRGM0YzRjMmRmNwRl1vRjNGMyomLCYkIklBQCEzZChIKVJnYVEkeV5qKls2djteJUY8RjMqJiQiSUtGMnldLlhyNmJcJ0gnKioqKioqKioqKioqSEZMRjNGNEYzRjNGMyZGY3BGZ29GM0YzJEYzIiIhRi4=">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L64" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">csol:=solve({seq(Eq[i],i=1..2*(N+M))},{seq(c[i],i=1..N+M),seq(p[i],i=1..N+M)});</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L65" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">assign(csol);</Text-field>
</Input>
</Group>
<Group labelreference="L66" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">YY:=map(eval,Y):</Text-field>
</Input>
</Group>
<Group labelreference="L67" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do u[i](y):=eval((YY[i,1]));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8028 characters]">[encoded data, 6332 characters]</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8208 characters]">[encoded data, 6448 characters]</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8120 characters]">[encoded data, 6364 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L68" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to M do u[N+1+i](y):=eval((YY[N+i,1]));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8148 characters]">[encoded data, 6380 characters]</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8156 characters]">[encoded data, 6412 characters]</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8112 characters]">[encoded data, 6404 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L69" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+M+2 do u[i](y):=eval(u[i](y));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 15836 characters]">[encoded data, 12376 characters]</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8028 characters]">[encoded data, 6332 characters]</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8208 characters]">[encoded data, 6448 characters]</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8120 characters]">[encoded data, 6364 characters]</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 29816 characters]">[encoded data, 23360 characters]</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8148 characters]">[encoded data, 6380 characters]</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8156 characters]">[encoded data, 6412 characters]</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8112 characters]">[encoded data, 6404 characters]</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 15836 characters]">[encoded data, 12400 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L70" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">#for i from 0 to N+1 do u[i](y):=eval(subs(zeta=epsilon*y/h,u[i](zeta)));od;</Text-field>
</Input>
</Group>
<Group labelreference="L71" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+M+2 do pp[i]:=plot(u[i](y),y=0..H,thickness=3);od:</Text-field>
</Input>
</Group>
<Group labelreference="L72" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display({seq(pp[i],i=0..N+M+2)},axes=boxed,title=&quot;Figure Exp. labels=[y,&quot;u&quot;]);</Text-field>
</Input>
<Output>
<Text-field style="Error" layout="Error">Error, missing operator or `;`</Text-field>
</Output>
</Group>
<Group labelreference="L73" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">MM:=5;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjTU1HNiIiIiY=">IiIm</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L74" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">T1:=[seq(evalf(i*H/MM),i=0..MM)];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjVDFHNiI3KCQiIiFGJyQiSSsrKysrKysrKysrKysrKysrKys1ISNTJCJJKysrKysrKysrKysrKysrKysrKz9GKiQiSSsrKysrKysrKysrKysrKysrKytJRiokIkkrKysrKysrKysrKysrKysrKysrU0YqJCJJKysrKysrKysrKysrKysrKysrK11GKg==">NygkIiIhRiQkIkkrKysrKysrKysrKysrKysrKysrNSEjUyQiSSsrKysrKysrKysrKysrKysrKys/RickIkkrKysrKysrKysrKysrKysrKysrSUYnJCJJKysrKysrKysrKysrKysrKysrK1NGJyQiSSsrKysrKysrKysrKysrKysrKytdRic=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L75" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">i:='i':</Text-field>
</Input>
</Group>
<Group labelreference="L76" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">X:=piecewise(i&lt;N+2,i*h1,i&gt;N+1,alpha+(i-N-1)*h2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiWEc2Ii1JKlBJRUNFV0lTRUdGJDYkNyQsJComIyIiIiIiKUYsSSJpR0YkRixGLDJGLiIiJjckRikyIiIlRi4=">LUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYmMkkiaUc2IiIiJiwkRicjIiIiIiIpMiIiJUYnRio=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L77" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot(X,i=0..(N+M+2));</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="300" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">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</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L78" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for j from 1 to MM+1 do P[j]:=plot([seq([eval(X),evalf(subs(y=T1[j],evalf(u[i](y))))],i=0..N+M+2)],style=line,thickness=3,axes=boxed,view=[0..1,0..1.1]):od:</Text-field>
</Input>
<Output>
<Text-field style="Warning" layout="Warning">Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct</Text-field>
</Output>
<Output>
<Text-field style="Warning" layout="Warning">Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct</Text-field>
</Output>
<Output>
<Text-field style="Warning" layout="Warning">Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct</Text-field>
</Output>
<Output>
<Text-field style="Warning" layout="Warning">Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct</Text-field>
</Output>
<Output>
<Text-field style="Warning" layout="Warning">Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct</Text-field>
</Output>
</Group>
<Group labelreference="L79" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">P[MM+1]:=plot([seq([X,1.],i=0..N+M+2)],style=line,thickness=3,axes=boxed):</Text-field>
</Input>
</Group>
<Group labelreference="L80" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display({seq(P[i],i=1..MM+1)},labels=[x,u]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="300" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">NigtJSdDVVJWRVNHNiY3KzckJCIiISEiIiQiIzUhIiI3JCQiJEQiISIkJCIjNSEiIjckJCIjRCEiIyQiIzUhIiI3JCQiJHYkISIkJCIjNSEiIjckJCIiJiEiIiQiIzUhIiI3JCQiJEQnISIkJCIjNSEiIjckJCIjdiEiIyQiIzUhIiI3JCQiJHYpISIkJCIjNSEiIjckJCIjNSEiIiQiIzUhIiItJSZDT0xPUkc2JiUkUkdCRyQiIzUhIiIkIiIhISIiJCIiISEiIi0lKlRISUNLTkVTU0c2IyIiJC0lJlNUWUxFRzYjJSVMSU5FRy0lJVZJRVdHNiQ7JCIiISEiIiQiIzUhIiI7JCIiISEiIiQiIzYhIiItJStBWEVTTEFCRUxTRzYnSSJ4RzYiLUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHNiI2NVEidTYiLyUnZmFtaWx5R1EoREVGQVVMVDYiLyUlc2l6ZUdRIzEwNiIvJSVib2xkR1EmZmFsc2U2Ii8lJ2l0YWxpY0dRJXRydWU2Ii8lKnVuZGVybGluZUdRJmZhbHNlNiIvJSpzdWJzY3JpcHRHUSZmYWxzZTYiLyUsc3VwZXJzY3JpcHRHUSZmYWxzZTYiLyUrZm9yZWdyb3VuZEdRKFswLDAsMF02Ii8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdNiIvJSdvcGFxdWVHUSZmYWxzZTYiLyUrZXhlY3V0YWJsZUdRJmZhbHNlNiIvJSlyZWFkb25seUdRJmZhbHNlNiIvJSljb21wb3NlZEdRJmZhbHNlNiIvJSpjb252ZXJ0ZWRHUSZmYWxzZTYiLyUraW1zZWxlY3RlZEdRJmZhbHNlNiIvJSxwbGFjZWhvbGRlckdRJmZhbHNlNiIvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSZmYWxzZTYiLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWM2Ii0lJUZPTlRHNiUlKERFRkFVTFRHJSFHIiM1JStIT1JJWk9OVEFMRyUrSE9SSVpPTlRBTEctJSpBWEVTU1RZTEVHNiMlJEJPWEctJShTQ0FMSU5HRzYjJS5VTkNPTlNUUkFJTkVERy0lJVJPT1RHNictJSlCT1VORFNfWEc2IyQiJHElISIiLSUpQk9VTkRTX1lHNiMkIiNdISIiLSUtQk9VTkRTX1dJRFRIRzYjJCIlK00hIiItJS5CT1VORFNfSEVJR0hURzYjJCIlSUQhIiItJSlDSElMRFJFTkc2Ig==</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L81" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Ny:=5;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjTnlHNiIiIiY=">IiIm</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L82" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">PP:=matrix(N+M+3,Ny);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjUFBHNiItSSZhcnJheUclKnByb3RlY3RlZEc2JTsiIiIiIio7RioiIiY3Ig==">PTYiNiQ7IiIiIiIqO0YmIiImRVxbbCE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L83" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Digits:=5;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknRGlnaXRzRzYiIiIm">IiIm</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L84" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">#for i to N+2 do PP[i,1]:=1;PP[i,Ny]:=0;od:</Text-field>
</Input>
</Group>
<Group labelreference="L85" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N+M+3 do for j from 1 to Ny do PP[i,j]:=evalf(subs(y=(j-1)*H/(Ny-1),u[i-1](y)));od;od:</Text-field>
</Input>
</Group>
<Group labelreference="L86" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L87" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalm(PP);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L88" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">i:='i':X:=piecewise(i&lt;N+3,(i-1)*h1,i&gt;N+3,alpha+(i-N-2)*h2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiWEc2Ii1JKlBJRUNFV0lTRUdGJDYkNyQsJiomIyIiIiIiKUYsSSJpR0YkRixGLEYrISIiMkYuIiInNyRGKTJGMUYu">LUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYmMkkiaUc2IiIiJywmRicjIiIiIiIpIyEiIkYtRiwyRilGJ0Yq</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L89" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot(X,i=1..N+M+3);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="300" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">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</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L90" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plotdata := [seq([ seq([eval(X),(j-1)*H/(Ny-1),PP[i,j]], i=1..N+M+3)], j=1..Ny)]:</Text-field>
</Input>
</Group>
<Group labelreference="L91" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plotdata;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8108 characters]">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L92" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">surfdata( plotdata, axes=boxed, labels=[x,y,u],orientation=[45,45] );</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="300" type="three-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0">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</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L93" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">surfdata( plotdata, axes=boxed, labels=[x,y,u],orientation=[120,0] ,style=patchnogrid);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="300" type="three-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0">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</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L94" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do curr[i]:=evalf(subs(y=1+0.5*i*h,diff(u[i](y),y)));od:</Text-field>
</Input>
</Group>
<Group labelreference="L95" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">curr[0]:=4/3*curr[1]-1/3*curr[2];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8612 characters]">[encoded data, 5624 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L96" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">curr[N+1]:=4/3*curr[N]-1/3*curr[N-1];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 8588 characters]">[encoded data, 5556 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L97" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">avecurr:=sum(curr[k],k=0..N+1)/(N+2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 12392 characters]">[encoded data, 8004 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L98" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot([seq([i*h,curr[i]/avecurr],i=0..N+1)],thickness=4,axes=boxed,style=point);</Text-field>
</Input>
<Output>
<Text-field style="Warning" layout="Warning">Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct</Text-field>
</Output>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="300" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">NictJSpUSElDS05FU1NHNiMiIiUtJSZTVFlMRUc2IyUmUE9JTlRHLSUqQVhFU1NUWUxFRzYjJSRCT1hHLSUoU0NBTElOR0c2IyUuVU5DT05TVFJBSU5FREctJSVST09URzYnLSUpQk9VTkRTX1hHNiMkIiQhUiEiIi0lKUJPVU5EU19ZRzYjJCIkPyIhIiItJS1CT1VORFNfV0lEVEhHNiMkIiUrTiEiIi0lLkJPVU5EU19IRUlHSFRHNiMkIiUhZSMhIiItJSlDSElMRFJFTkc2Ig==</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L99" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>