<?xml version="1.0" encoding="UTF-8"?>
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<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=""/>
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<Group labelreference="L2" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;with(linalg):with(plots):</Text-field>
</Input>
<Output>
<Text-field style="Warning" layout="Warning">Warning, the protected names norm and trace have been redefined and unprotected
</Text-field>
<Text-field style="Warning" layout="Warning">Warning, the name changecoords has been redefined
</Text-field>
</Output>
</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">NiM+JSRnZTFHLy0lJWRpZmZHNiQtJSN1MUc2JCUieEclInlHLSUiJEc2JCUieUciIiMsJC0lJWRpZmZHNiQtJSN1MUc2JCUieEclInlHLSUiJEc2JCUieEciIiMhIiI=</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">NiM+JSRnZTJHLy0lJWRpZmZHNiQtJSN1Mkc2JCUieEclInlHLSUiJEc2JCUieUciIiMsJC0lJWRpZmZHNiQtJSN1Mkc2JCUieEclInlHLSUiJEc2JCUieEciIiMhIiI=</Equation></Text-field>
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</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="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSdEaWdpdHNHIiNT</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">NiM+JSRiYzFHLSUlZGlmZkc2JC0lI3UxRzYkJSJ4RyUieUclInhH</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">NiM+JSRiYzJHLSUlZGlmZkc2JC0lI3UyRzYkJSJ4RyUieUclInhH</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">NiM+JSViYzMxRy0lI3UxRzYkJSJ4RyUieUc=</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">NiM+JSViYzMyRy0lJWRpZmZHNiQtJSN1Mkc2JCUieEclInlHJSJ5Rw==</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">NiM+JSViYzQxRywmLSUjdTFHNiQlInhHJSJ5RyIiIiIiIiEiIg==</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">NiM+JSViYzQyRywmLSUjdTJHNiQlInhHJSJ5RyIiIiIiIiEiIg==</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">NiM+JShiY2FscGhhRy8tJSVkaWZmRzYkLSUjdTFHNiQlInhHJSJ5RyUieEctJSVkaWZmRzYkLSUjdTJHNiQlInhHJSJ5RyUieEc=</Equation></Text-field>
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</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">NiM+JSZhbHBoYUcjIiIiIiIj</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">NiM+JSNoMUcsJCooIyIiIiIiIyIiIiIiIiIiIiwmJSJORyIiIiIiIiIiIiEiIiIiIg==</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSNoMkcsJCooIyIiIiIiIyIiIiIiIiIiIiwmJSJNRyIiIiIiIiIiIiEiIiIiIg==</Equation></Text-field>
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</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">NiM+JSJORyIiJA==</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSJNRyIiJA==</Equation></Text-field>
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</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">NiM+JSJIRyQiIiYhIiI=</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">NiM+JSZkeWR4ZkcsKComIiIlIiIiLSYlInVHNiMiIiM2IyUieUciIiIhIiIqJiIjNyIiIi0mJSJ1RzYjIiIhNiMlInlHIiIiISIiKiYiIzsiIiItJiUidUc2IyIiIjYjJSJ5RyIiIiIiIg==</Equation></Text-field>
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<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">NiM+JSZkeWR4YkcsKComIiIlIiIiLSYlInVHNiMiIic2IyUieUciIiIiIiIqJiIjNyIiIi0mJSJ1RzYjIiIpNiMlInlHIiIiIiIiKiYiIzsiIiItJiUidUc2IyIiKDYjJSJ5RyIiIiEiIg==</Equation></Text-field>
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</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>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSdkeWR4YjJHLCgqJiIiJSIiIi0mJSJ1RzYjIiIjNiMlInlHIiIiIiIiKiYiIzciIiItJiUidUc2IyIiJTYjJSJ5RyIiIiIiIiomIiM7IiIiLSYlInVHNiMiIiQ2IyUieUciIiIhIiI=</Equation></Text-field>
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<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>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSdkeWR4ZjJHLCgqJiIiJSIiIi0mJSJ1RzYjIiInNiMlInlHIiIiISIiKiYiIzciIiItJiUidUc2IyIiJTYjJSJ5RyIiIiEiIiomIiM7IiIiLSYlInVHNiMiIiY2IyUieUciIiIiIiI=</Equation></Text-field>
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<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>
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<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="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="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">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</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">NiM+JSRiYzFHLCgqJiIiJSIiIi0mJSJ1RzYjIiIjNiMlInlHIiIiISIiKiYiIzciIiItJiUidUc2IyIiITYjJSJ5RyIiIiEiIiomIiM7IiIiLSYlInVHNiMiIiI2IyUieUciIiIiIiI=</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">NiM+JSRiYzJHLCgqJiIiJSIiIi0mJSJ1RzYjIiInNiMlInlHIiIiIiIiKiYiIzciIiItJiUidUc2IyIiKTYjJSJ5RyIiIiIiIiomIiM7IiIiLSYlInVHNiMiIig2IyUieUciIiIhIiI=</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">NiM+JShiY2FscGhhRy8sKComIiIlIiIiLSYlInVHNiMiIiM2IyUieUciIiIiIiIqJiIjNyIiIi0mJSJ1RzYjIiIlNiMlInlHIiIiIiIiKiYiIzsiIiItJiUidUc2IyIiJDYjJSJ5RyIiIiEiIiwoKiYiIiUiIiItJiUidUc2IyIiJzYjJSJ5RyIiIiEiIiomIiM3IiIiLSYlInVHNiMiIiU2IyUieUciIiIhIiIqJiIjOyIiIi0mJSJ1RzYjIiImNiMlInlHIiIiIiIi</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">NiM+JiUjZXFHNiMiIiEsKComIiIlIiIiLSYlInVHNiMiIiM2IyUieUciIiIhIiIqJiIjNyIiIi0mJSJ1RzYjIiIhNiMlInlHIiIiISIiKiYiIzsiIiItJiUidUc2IyIiIjYjJSJ5RyIiIiIiIg==</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">NiM+JiUjZXFHNiMiIiUvLCgqJiIiJSIiIi0mJSJ1RzYjIiIjNiMlInlHIiIiIiIiKiYiIzciIiItJiUidUc2IyIiJTYjJSJ5RyIiIiIiIiomIiM7IiIiLSYlInVHNiMiIiQ2IyUieUciIiIhIiIsKComIiIlIiIiLSYlInVHNiMiIic2IyUieUciIiIhIiIqJiIjNyIiIi0mJSJ1RzYjIiIlNiMlInlHIiIiISIiKiYiIzsiIiItJiUidUc2IyIiJjYjJSJ5RyIiIiIiIg==</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">NiM+JiUjZXFHNiMiIiksKComIiIlIiIiLSYlInVHNiMiIic2IyUieUciIiIiIiIqJiIjNyIiIi0mJSJ1RzYjIiIpNiMlInlHIiIiIiIiKiYiIzsiIiItJiUidUc2IyIiKDYjJSJ5RyIiIiEiIg==</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">NiM+JiUjZXFHNiMiIiovLSUlZGlmZkc2JC0mJSJ1RzYjIiIqNiMlInlHJSJ5RywoKiYiI2siIiItJiUidUc2IyIiITYjJSJ5RyIiIiEiIiomIiRHIiIiIi0mJSJ1RzYjIiIiNiMlInlHIiIiIiIiKiYiI2siIiItJiUidUc2IyIiIzYjJSJ5RyIiIiEiIg==</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzUvLSUlZGlmZkc2JC0mJSJ1RzYjIiM1NiMlInlHJSJ5RywoKiYiI2siIiItJiUidUc2IyIiIjYjJSJ5RyIiIiEiIiomIiRHIiIiIi0mJSJ1RzYjIiIjNiMlInlHIiIiIiIiKiYiI2siIiItJiUidUc2IyIiJDYjJSJ5RyIiIiEiIg==</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzYvLSUlZGlmZkc2JC0mJSJ1RzYjIiM2NiMlInlHJSJ5RywoKiYiI2siIiItJiUidUc2IyIiIzYjJSJ5RyIiIiEiIiomIiRHIiIiIi0mJSJ1RzYjIiIkNiMlInlHIiIiIiIiKiYiI2siIiItJiUidUc2IyIiJTYjJSJ5RyIiIiEiIg==</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">NiM+JiUjZXFHNiMiIzcvLSUlZGlmZkc2JC0mJSJ1RzYjIiM3NiMlInlHJSJ5RywoKiYiI2siIiItJiUidUc2IyIiJTYjJSJ5RyIiIiEiIiomIiRHIiIiIi0mJSJ1RzYjIiImNiMlInlHIiIiIiIiKiYiI2siIiItJiUidUc2IyIiJzYjJSJ5RyIiIiEiIg==</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzgvLSUlZGlmZkc2JC0mJSJ1RzYjIiM4NiMlInlHJSJ5RywoKiYiI2siIiItJiUidUc2IyIiJjYjJSJ5RyIiIiEiIiomIiRHIiIiIi0mJSJ1RzYjIiInNiMlInlHIiIiIiIiKiYiI2siIiItJiUidUc2IyIiKDYjJSJ5RyIiIiEiIg==</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzkvLSUlZGlmZkc2JC0mJSJ1RzYjIiM5NiMlInlHJSJ5RywoKiYiI2siIiItJiUidUc2IyIiJzYjJSJ5RyIiIiEiIiomIiRHIiIiIi0mJSJ1RzYjIiIoNiMlInlHIiIiIiIiKiYiI2siIiItJiUidUc2IyIiKTYjJSJ5RyIiIiEiIg==</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">NiM+LSYlInVHNiMiIiE2IyUieUcsJiomIyIiIiIiJCIiIi0mJSJ1RzYjIiIjNiMlInlHIiIiISIiKiYjIiIlIiIkIiIiLSYlInVHNiMiIiI2IyUieUciIiIiIiI=</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">NiM+LSYlInVHNiMiIiU2IyUieUcsKiomIyIiIiIiJyIiIi0mJSJ1RzYjIiIjNiMlInlHIiIiISIiKiYjIiIjIiIkIiIiLSYlInVHNiMiIiQ2IyUieUciIiIiIiIqJiMiIiIiIiciIiItJiUidUc2IyIiJzYjJSJ5RyIiIiEiIiomIyIiIyIiJCIiIi0mJSJ1RzYjIiImNiMlInlHIiIiIiIi</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">NiM+LSYlInVHNiMiIik2IyUieUcsJiomIyIiIiIiJCIiIi0mJSJ1RzYjIiInNiMlInlHIiIiISIiKiYjIiIlIiIkIiIiLSYlInVHNiMiIig2IyUieUciIiIiIiI=</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">NiM+JiUjZXFHNiMiIiIvLSUlZGlmZkc2JC0mJSJ1RzYjIiIiNiMlInlHJSJ5Ry0mJSJ1RzYjIiIqNiMlInlH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiMvLSUlZGlmZkc2JC0mJSJ1RzYjIiIjNiMlInlHJSJ5Ry0mJSJ1RzYjIiM1NiMlInlH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiQvLSUlZGlmZkc2JC0mJSJ1RzYjIiIkNiMlInlHJSJ5Ry0mJSJ1RzYjIiM2NiMlInlH</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">NiM+JiUjZXFHNiMiIiYvLSUlZGlmZkc2JC0mJSJ1RzYjIiImNiMlInlHJSJ5Ry0mJSJ1RzYjIiM3NiMlInlH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIicvLSUlZGlmZkc2JC0mJSJ1RzYjIiInNiMlInlHJSJ5Ry0mJSJ1RzYjIiM4NiMlInlH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIigvLSUlZGlmZkc2JC0mJSJ1RzYjIiIoNiMlInlHJSJ5Ry0mJSJ1RzYjIiM5NiMlInlH</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">NiM+JSNoMUcjIiIiIiIp</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSNoMkcjIiIiIiIp</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">NiM+JiUjZXFHNiMiIiIvLSUlZGlmZkc2JC0mJSJ1RzYjIiIiNiMlInlHJSJ5Ry0mJSJ1RzYjIiIqNiMlInlH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiMvLSUlZGlmZkc2JC0mJSJ1RzYjIiIjNiMlInlHJSJ5Ry0mJSJ1RzYjIiM1NiMlInlH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiQvLSUlZGlmZkc2JC0mJSJ1RzYjIiIkNiMlInlHJSJ5Ry0mJSJ1RzYjIiM2NiMlInlH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiYvLSUlZGlmZkc2JC0mJSJ1RzYjIiImNiMlInlHJSJ5Ry0mJSJ1RzYjIiM3NiMlInlH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIicvLSUlZGlmZkc2JC0mJSJ1RzYjIiInNiMlInlHJSJ5Ry0mJSJ1RzYjIiM4NiMlInlH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIigvLSUlZGlmZkc2JC0mJSJ1RzYjIiIoNiMlInlHJSJ5Ry0mJSJ1RzYjIiM5NiMlInlH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiovLSUlZGlmZkc2JC0mJSJ1RzYjIiIqNiMlInlHJSJ5RywmKiYjIiRHIiIiJCIiIi0mJSJ1RzYjIiIjNiMlInlHIiIiISIiKiYjIiRHIiIiJCIiIi0mJSJ1RzYjIiIiNiMlInlHIiIiIiIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzUvLSUlZGlmZkc2JC0mJSJ1RzYjIiM1NiMlInlHJSJ5RywoKiYiI2siIiItJiUidUc2IyIiIjYjJSJ5RyIiIiEiIiomIiRHIiIiIi0mJSJ1RzYjIiIjNiMlInlHIiIiIiIiKiYiI2siIiItJiUidUc2IyIiJDYjJSJ5RyIiIiEiIg==</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzYvLSUlZGlmZkc2JC0mJSJ1RzYjIiM2NiMlInlHJSJ5RywqKiYjIiRnIiIiJCIiIi0mJSJ1RzYjIiIjNiMlInlHIiIiISIiKiYjIiRjIyIiJCIiIi0mJSJ1RzYjIiIkNiMlInlHIiIiIiIiKiYjIiNLIiIkIiIiLSYlInVHNiMiIic2IyUieUciIiIiIiIqJiMiJEciIiIkIiIiLSYlInVHNiMiIiY2IyUieUciIiIhIiI=</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzcvLSUlZGlmZkc2JC0mJSJ1RzYjIiM3NiMlInlHJSJ5RywqKiYjIiNLIiIkIiIiLSYlInVHNiMiIiM2IyUieUciIiIiIiIqJiMiJEciIiIkIiIiLSYlInVHNiMiIiQ2IyUieUciIiIhIiIqJiMiJGciIiIkIiIiLSYlInVHNiMiIic2IyUieUciIiIhIiIqJiMiJGMjIiIkIiIiLSYlInVHNiMiIiY2IyUieUciIiIiIiI=</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzgvLSUlZGlmZkc2JC0mJSJ1RzYjIiM4NiMlInlHJSJ5RywoKiYiI2siIiItJiUidUc2IyIiJjYjJSJ5RyIiIiEiIiomIiRHIiIiIi0mJSJ1RzYjIiInNiMlInlHIiIiIiIiKiYiI2siIiItJiUidUc2IyIiKDYjJSJ5RyIiIiEiIg==</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzkvLSUlZGlmZkc2JC0mJSJ1RzYjIiM5NiMlInlHJSJ5RywmKiYjIiRHIiIiJCIiIi0mJSJ1RzYjIiInNiMlInlHIiIiISIiKiYjIiRHIiIiJCIiIi0mJSJ1RzYjIiIoNiMlInlHIiIiIiIi</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 Output12"><Equation executable="false" style="2D Output">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</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">NiM+JSJZRzcuLSYlInVHNiMiIiI2IyUieUctJiUidUc2IyIiIzYjJSJ5Ry0mJSJ1RzYjIiIkNiMlInlHLSYlInVHNiMiIiY2IyUieUctJiUidUc2IyIiJzYjJSJ5Ry0mJSJ1RzYjIiIoNiMlInlHLSYlInVHNiMiIio2IyUieUctJiUidUc2IyIjNTYjJSJ5Ry0mJSJ1RzYjIiM2NiMlInlHLSYlInVHNiMiIzc2IyUieUctJiUidUc2IyIjODYjJSJ5Ry0mJSJ1RzYjIiM5NiMlInlH</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="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">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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 Output12"><Equation executable="false" style="2D Output" display="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">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</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>
<Output>
<Text-field style="Warning" layout="Warning">Warning, computation interrupted
</Text-field>
</Output>
</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>
</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">NiM+JSNZMEctJSZhcnJheUc2JTsiIiIiIzc7IiIiIiIiNyI=</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">NiM+JiUjRXFHNiMiIiImJSJwRzYjIiIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIiMmJSJwRzYjIiIj</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIiQmJSJwRzYjIiIk</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">NiM+JiUjRXFHNiMiIiUmJSJjRzYjIiIl</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIiYmJSJjRzYjIiIm</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIicmJSJjRzYjIiIn</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 Output12"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<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>
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<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<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 Output12"><Equation executable="false" style="2D Output">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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 Output12"><Equation executable="false" style="2D Output">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</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 Output12"><Equation executable="false" style="2D Output">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</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 Output12"><Equation executable="false" style="2D Output">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</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">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</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">NiM+LSYlInVHNiMiIiM2IyUieUcsLiQiSXZPXCQpKSllKltdekF5XWxxIVJTIyk+TyEjUyIiIiomJCIjRiEjVSIiIi0lJGV4cEc2IywkKigjIiIlIiIkIiIiLSUlc3FydEc2IyIiJyIiIiUieUciIiIhIiIiIiIiIiIqJiQiI0YhI1UiIiItJSRleHBHNiMsJCooIyIiJSIiJCIiIi0lJXNxcnRHNiMiIiciIiIlInlHIiIiIiIiIiIiIiIiKiYkIklsN0lCQTMtKjRXTiUpKm9lPSM+TmdGIiEjUiIiIiUieUciIiIiIiIqKCQiIiQhI1UiIiItJSVzcXJ0RzYjIiInIiIiLSUkZXhwRzYjLCQqKCMiIiUiIiQiIiItJSVzcXJ0RzYjIiInIiIiJSJ5RyIiIiEiIiIiIiEiIiooJCIiJCEjVSIiIi0lJXNxcnRHNiMiIiciIiItJSRleHBHNiMsJCooIyIiJSIiJCIiIi0lJXNxcnRHNiMiIiciIiIlInlHIiIiIiIiIiIiIiIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">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</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">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</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,labels=[y,&quot;u&quot;]);</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">[encoded data, 11132 characters]</Plot></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">NiM+JSNNTUciIiY=</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 Output12"><Equation executable="false" style="2D Output">NiM+JSNUMUc3KCQiIiEiIiEkIkkrKysrKysrKysrKysrKysrKysrNSEjUyQiSSsrKysrKysrKysrKysrKysrKys/ISNTJCJJKysrKysrKysrKysrKysrKysrK0khI1MkIkkrKysrKysrKysrKysrKysrKysrUyEjUyQiSSsrKysrKysrKysrKysrKysrKytdISNT</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="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">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</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>
</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">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</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">NiM+JSNOeUciIiY=</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">NiM+JSNQUEctJSZhcnJheUc2JTsiIiIiIiY7IiIiIiImNyI=</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">NiM+JSdEaWdpdHNHIiIm</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="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">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</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 Output12"><Equation executable="false" style="2D Output">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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">NiM+JiUlY3Vyckc2IyIiISQhNTthJSp5RmFoS2s6ISM+</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">NiM+JiUlY3Vyckc2IyIjNiQhNU08JlE3SSlcJilmRCEjPw==</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">NiM+JShhdmVjdXJyRyQhNW0vIlEkZjN2W1FzISM/</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="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">NigtJSdDVVJWRVNHNiQ3LjckJCIiISEiIiQiMThUJCplSDdoQCEjOjckJCIxIjQ0NDQ0NDQqISM8JCIxaCZwaDRvPyQ+ISM6NyQkIjIjPT09PT09PT0hIzwkIjJbIWYoeV0uXEMiISM7NyQkIjFGRkZGRkZGRiEjOyQiMVFUZyFHailSNiEjOjckJCIybGpqampqamokISM8JCIxXFV6TC90OTUhIzo3JCQiMmBhYWFhYWFhJSEjPCQiMSw3XWdvTnkjKiEjOzckJCIxYWFhYWFhYWEhIzskIjFtaz9SKSk9OiUpISM7NyQkIjFrampqampqaiEjOyQiMSdbNyFScnB0diEjOzckJCIxdHNzc3Nzc3MhIzskIjA7RkonRypSbCchIzo3JCQiMSM9PT09PT09KSEjOyQiMVIpNHozdi9kJiEjOzckJCIxIjQ0NDQ0NDQqISM7JCIxVjhaVWomXC8lISM7NyQkIiM1ISIiJCIxVz0qUjRda2AkISM7LSUmQ09MT1JHNiYlJFJHQkckIiM1ISIiJCIiISEiIiQiIiEhIiItJSpUSElDS05FU1NHNiMiIiUtJSZTVFlMRUc2IyUmUE9JTlRHLSUqQVhFU1NUWUxFRzYjJSRCT1hHLSUoU0NBTElOR0c2IyUuVU5DT05TVFJBSU5FREctJSVST09URzYnLSUpQk9VTkRTX1hHNiMkIiRnJCEiIi0lKUJPVU5EU19ZRzYjJCIkKyIhIiItJS1CT1VORFNfV0lEVEhHNiMkIiUrTiEiIi0lLkJPVU5EU19IRUlHSFRHNiMkIiUhZSMhIiItJSlDSElMRFJFTkc2Ig==</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>