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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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<Task-table>
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<Annotation-table>
    <Annotation-category name="&lt;default&gt;">
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</Task>
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<Input>
<Text-field style="Text" layout="Normal">Example 6.3  Graetz Problem with a Fixed Wall Temperature</Text-field>
</Input>
</Group>
<Group labelreference="L72" 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="L71" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==">JSFH</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L69" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The governing equation is entered in the following form:</Text-field>
</Input>
</Group>
<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ge:=diff(u(x,y),y$2)=2*Pe*(1-x^2)*diff(u(x,y),y)-diff(u(x,y),x$2)-1/x*diff(u(x,y),x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSNnZUcvLSUlZGlmZkc2JC0lInVHNiQlInhHJSJ5Ry0lIiRHNiQlInlHIiIjLCgqKiIiIyIiIiUjUGVHIiIiLCYiIiIiIiIqJCklInhHIiIjIiIiISIiIiIiLSUlZGlmZkc2JC0lInVHNiQlInhHJSJ5RyUieUciIiIiIiItJSVkaWZmRzYkLSUidUc2JCUieEclInlHLSUiJEc2JCUieEciIiMhIiIqJiUieEchIiItJSVkaWZmRzYkLSUidUc2JCUieEclInlHJSJ4RyIiIiEiIg==</Equation></Text-field>
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</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Digits:=50;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSdEaWdpdHNHIiNd</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=diff(u(x,y),x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSRiYzFHLSUlZGlmZkc2JC0lInVHNiQlInhHJSJ5RyUieEc=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=u(x,y)-1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSRiYzJHLCYtJSJ1RzYkJSJ4RyUieUciIiIiIiIhIiI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc3:=u(x,y)-0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSRiYzNHLSUidUc2JCUieEclInlH</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc4:=diff(u(x,y),y);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSRiYzRHLSUlZGlmZkc2JC0lInVHNiQlInhHJSJ5RyUieUc=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Pe:=1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSNQZUciIiI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">epsilon:=1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JShlcHNpbG9uRyIiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">L:=1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSJMRyIiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">H:=2;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSJIRyIiIw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxf:=1/2/h*(-u[m+2](zeta)-3*u[m](zeta)+4*u[m+1](zeta)):</Text-field>
</Input>
</Group>
<Group labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxb:=1/2/h*(u[m-2](zeta)+3*u[m](zeta)-4*u[m-1](zeta)):</Text-field>
</Input>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydx:=1/2/h*(u[m+1](zeta)-u[m-1](zeta)):</Text-field>
</Input>
</Group>
<Group labelreference="L16" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">d2ydx2:=1/h^2*(u[m-1](zeta)-2*u[m](zeta)+u[m+1](zeta)):</Text-field>
</Input>
</Group>
<Group labelreference="L17" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=subs(diff(u(x,y),x)=subs(m=0,dydxf),u(x,y)=u[0](zeta),x=0,bc1):</Text-field>
</Input>
</Group>
<Group labelreference="L18" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=subs(diff(u(x,y),x)=subs(m=N+1,dydxb),u(x,y)=u[N+1](zeta),x=1,bc2):</Text-field>
</Input>
</Group>
<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">N:=10;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSJORyIjNQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L20" 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+JiUjZXFHNiMiIiEsJCooIyIiIiIiIyIiIiUiaEchIiIsKC0mJSJ1RzYjIiIjNiMlJXpldGFHISIiKiYiIiQiIiItJiUidUc2IyIiITYjJSV6ZXRhRyIiIiEiIiomIiIlIiIiLSYlInVHNiMiIiI2IyUlemV0YUciIiIiIiIiIiIiIiI=</Equation></Text-field>
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<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[N+1]:=bc2; </Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzYsJi0mJSJ1RzYjIiM2NiMlJXpldGFHIiIiIiIiISIi</Equation></Text-field>
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<Group labelreference="L22" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[N+1+i]:=diff(u[N+1+i](zeta),zeta)= subs(diff(u(x,y),x$2) = subs(m=i,d2ydx2),diff(u(x,y),x) = subs(m=i,dydx),diff(u(x,y),y)=epsilon/h*u[N+1+i](zeta),u(x,y)=u[i](zeta),x=i*h,rhs(h^2/epsilon^2*ge));od;</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzcvLSUlZGlmZkc2JC0mJSJ1RzYjIiM3NiMlJXpldGFHJSV6ZXRhRyomKSUiaEciIiMiIiIsKCoqIiIjIiIiLCYiIiIiIiIqJCklImhHIiIjIiIiISIiIiIiJSJoRyEiIi0mJSJ1RzYjIiM3NiMlJXpldGFHIiIiIiIiKiYpJSJoRyIiIyEiIiwoLSYlInVHNiMiIiE2IyUlemV0YUciIiIqJiIiIyIiIi0mJSJ1RzYjIiIiNiMlJXpldGFHIiIiISIiLSYlInVHNiMiIiM2IyUlemV0YUciIiIiIiIhIiIqJiMiIiIiIiMiIiIqJiklImhHIiIjISIiLCYtJiUidUc2IyIiIzYjJSV6ZXRhRyIiIi0mJSJ1RzYjIiIhNiMlJXpldGFHISIiIiIiIiIiISIiIiIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzgvLSUlZGlmZkc2JC0mJSJ1RzYjIiM4NiMlJXpldGFHJSV6ZXRhRyomKSUiaEciIiMiIiIsKCoqIiIjIiIiLCYiIiIiIiIqJiIiJSIiIiklImhHIiIjIiIiISIiIiIiJSJoRyEiIi0mJSJ1RzYjIiM4NiMlJXpldGFHIiIiIiIiKiYpJSJoRyIiIyEiIiwoLSYlInVHNiMiIiI2IyUlemV0YUciIiIqJiIiIyIiIi0mJSJ1RzYjIiIjNiMlJXpldGFHIiIiISIiLSYlInVHNiMiIiQ2IyUlemV0YUciIiIiIiIhIiIqJiMiIiIiIiUiIiIqJiklImhHIiIjISIiLCYtJiUidUc2IyIiJDYjJSV6ZXRhRyIiIi0mJSJ1RzYjIiIiNiMlJXpldGFHISIiIiIiIiIiISIiIiIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzkvLSUlZGlmZkc2JC0mJSJ1RzYjIiM5NiMlJXpldGFHJSV6ZXRhRyomKSUiaEciIiMiIiIsKCoqIiIjIiIiLCYiIiIiIiIqJiIiKiIiIiklImhHIiIjIiIiISIiIiIiJSJoRyEiIi0mJSJ1RzYjIiM5NiMlJXpldGFHIiIiIiIiKiYpJSJoRyIiIyEiIiwoLSYlInVHNiMiIiM2IyUlemV0YUciIiIqJiIiIyIiIi0mJSJ1RzYjIiIkNiMlJXpldGFHIiIiISIiLSYlInVHNiMiIiU2IyUlemV0YUciIiIiIiIhIiIqJiMiIiIiIiciIiIqJiklImhHIiIjISIiLCYtJiUidUc2IyIiJTYjJSV6ZXRhRyIiIi0mJSJ1RzYjIiIjNiMlJXpldGFHISIiIiIiIiIiISIiIiIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzovLSUlZGlmZkc2JC0mJSJ1RzYjIiM6NiMlJXpldGFHJSV6ZXRhRyomKSUiaEciIiMiIiIsKCoqIiIjIiIiLCYiIiIiIiIqJiIjOyIiIiklImhHIiIjIiIiISIiIiIiJSJoRyEiIi0mJSJ1RzYjIiM6NiMlJXpldGFHIiIiIiIiKiYpJSJoRyIiIyEiIiwoLSYlInVHNiMiIiQ2IyUlemV0YUciIiIqJiIiIyIiIi0mJSJ1RzYjIiIlNiMlJXpldGFHIiIiISIiLSYlInVHNiMiIiY2IyUlemV0YUciIiIiIiIhIiIqJiMiIiIiIikiIiIqJiklImhHIiIjISIiLCYtJiUidUc2IyIiJjYjJSV6ZXRhRyIiIi0mJSJ1RzYjIiIkNiMlJXpldGFHISIiIiIiIiIiISIiIiIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzsvLSUlZGlmZkc2JC0mJSJ1RzYjIiM7NiMlJXpldGFHJSV6ZXRhRyomKSUiaEciIiMiIiIsKCoqIiIjIiIiLCYiIiIiIiIqJiIjRCIiIiklImhHIiIjIiIiISIiIiIiJSJoRyEiIi0mJSJ1RzYjIiM7NiMlJXpldGFHIiIiIiIiKiYpJSJoRyIiIyEiIiwoLSYlInVHNiMiIiU2IyUlemV0YUciIiIqJiIiIyIiIi0mJSJ1RzYjIiImNiMlJXpldGFHIiIiISIiLSYlInVHNiMiIic2IyUlemV0YUciIiIiIiIhIiIqJiMiIiIiIzUiIiIqJiklImhHIiIjISIiLCYtJiUidUc2IyIiJzYjJSV6ZXRhRyIiIi0mJSJ1RzYjIiIlNiMlJXpldGFHISIiIiIiIiIiISIiIiIi</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIz0vLSUlZGlmZkc2JC0mJSJ1RzYjIiM9NiMlJXpldGFHJSV6ZXRhRyomKSUiaEciIiMiIiIsKCoqIiIjIiIiLCYiIiIiIiIqJiIjXCIiIiklImhHIiIjIiIiISIiIiIiJSJoRyEiIi0mJSJ1RzYjIiM9NiMlJXpldGFHIiIiIiIiKiYpJSJoRyIiIyEiIiwoLSYlInVHNiMiIic2IyUlemV0YUciIiIqJiIiIyIiIi0mJSJ1RzYjIiIoNiMlJXpldGFHIiIiISIiLSYlInVHNiMiIik2IyUlemV0YUciIiIiIiIhIiIqJiMiIiIiIzkiIiIqJiklImhHIiIjISIiLCYtJiUidUc2IyIiKTYjJSV6ZXRhRyIiIi0mJSJ1RzYjIiInNiMlJXpldGFHISIiIiIiIiIiISIiIiIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIz4vLSUlZGlmZkc2JC0mJSJ1RzYjIiM+NiMlJXpldGFHJSV6ZXRhRyomKSUiaEciIiMiIiIsKCoqIiIjIiIiLCYiIiIiIiIqJiIjayIiIiklImhHIiIjIiIiISIiIiIiJSJoRyEiIi0mJSJ1RzYjIiM+NiMlJXpldGFHIiIiIiIiKiYpJSJoRyIiIyEiIiwoLSYlInVHNiMiIig2IyUlemV0YUciIiIqJiIiIyIiIi0mJSJ1RzYjIiIpNiMlJXpldGFHIiIiISIiLSYlInVHNiMiIio2IyUlemV0YUciIiIiIiIhIiIqJiMiIiIiIzsiIiIqJiklImhHIiIjISIiLCYtJiUidUc2IyIiKjYjJSV6ZXRhRyIiIi0mJSJ1RzYjIiIoNiMlJXpldGFHISIiIiIiIiIiISIiIiIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIz8vLSUlZGlmZkc2JC0mJSJ1RzYjIiM/NiMlJXpldGFHJSV6ZXRhRyomKSUiaEciIiMiIiIsKCoqIiIjIiIiLCYiIiIiIiIqJiIjIikiIiIpJSJoRyIiIyIiIiEiIiIiIiUiaEchIiItJiUidUc2IyIjPzYjJSV6ZXRhRyIiIiIiIiomKSUiaEciIiMhIiIsKC0mJSJ1RzYjIiIpNiMlJXpldGFHIiIiKiYiIiMiIiItJiUidUc2IyIiKjYjJSV6ZXRhRyIiIiEiIi0mJSJ1RzYjIiM1NiMlJXpldGFHIiIiIiIiISIiKiYjIiIiIiM9IiIiKiYpJSJoRyIiIyEiIiwmLSYlInVHNiMiIzU2IyUlemV0YUciIiItJiUidUc2IyIiKTYjJSV6ZXRhRyEiIiIiIiIiIiEiIiIiIg==</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiI0AvLSUlZGlmZkc2JC0mJSJ1RzYjIiNANiMlJXpldGFHJSV6ZXRhRyomKSUiaEciIiMiIiIsKCoqIiIjIiIiLCYiIiIiIiIqJiIkKyIiIiIpJSJoRyIiIyIiIiEiIiIiIiUiaEchIiItJiUidUc2IyIjQDYjJSV6ZXRhRyIiIiIiIiomKSUiaEciIiMhIiIsKC0mJSJ1RzYjIiIqNiMlJXpldGFHIiIiKiYiIiMiIiItJiUidUc2IyIjNTYjJSV6ZXRhRyIiIiEiIi0mJSJ1RzYjIiM2NiMlJXpldGFHIiIiIiIiISIiKiYjIiIiIiM/IiIiKiYpJSJoRyIiIyEiIiwmLSYlInVHNiMiIzY2IyUlemV0YUciIiItJiUidUc2IyIiKjYjJSV6ZXRhRyEiIiIiIiIiIiEiIiIiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L23" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[0](zeta):=(solve(eq[0],u[0](zeta)));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+LSYlInVHNiMiIiE2IyUlemV0YUcsJiomIyIiIiIiJCIiIi0mJSJ1RzYjIiIjNiMlJXpldGFHIiIiISIiKiYjIiIlIiIkIiIiLSYlInVHNiMiIiI2IyUlemV0YUciIiIiIiI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L24" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[N+1](zeta):=solve(eq[N+1],u[N+1](zeta));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+LSYlInVHNiMiIzY2IyUlemV0YUciIiI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L25" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i]:=diff(u[i](zeta),zeta)= u[N+1+i](zeta);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiIvLSUlZGlmZkc2JC0mJSJ1RzYjIiIiNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM3NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiMvLSUlZGlmZkc2JC0mJSJ1RzYjIiIjNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM4NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiQvLSUlZGlmZkc2JC0mJSJ1RzYjIiIkNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM5NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiUvLSUlZGlmZkc2JC0mJSJ1RzYjIiIlNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM6NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiYvLSUlZGlmZkc2JC0mJSJ1RzYjIiImNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM7NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIicvLSUlZGlmZkc2JC0mJSJ1RzYjIiInNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM8NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIigvLSUlZGlmZkc2JC0mJSJ1RzYjIiIoNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM9NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIikvLSUlZGlmZkc2JC0mJSJ1RzYjIiIpNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM+NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiovLSUlZGlmZkc2JC0mJSJ1RzYjIiIqNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM/NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzUvLSUlZGlmZkc2JC0mJSJ1RzYjIiM1NiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiNANiMlJXpldGFH</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L26" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">h:=L/(N+1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSJoRyMiIiIiIzY=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L27" 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 N do eq[N+1+i]:=eval(eq[N+1+i]);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiIvLSUlZGlmZkc2JC0mJSJ1RzYjIiIiNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM3NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiMvLSUlZGlmZkc2JC0mJSJ1RzYjIiIjNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM4NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiQvLSUlZGlmZkc2JC0mJSJ1RzYjIiIkNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM5NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiUvLSUlZGlmZkc2JC0mJSJ1RzYjIiIlNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM6NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiYvLSUlZGlmZkc2JC0mJSJ1RzYjIiImNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM7NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIicvLSUlZGlmZkc2JC0mJSJ1RzYjIiInNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM8NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIigvLSUlZGlmZkc2JC0mJSJ1RzYjIiIoNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM9NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIikvLSUlZGlmZkc2JC0mJSJ1RzYjIiIpNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM+NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIiovLSUlZGlmZkc2JC0mJSJ1RzYjIiIqNiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiM/NiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzUvLSUlZGlmZkc2JC0mJSJ1RzYjIiM1NiMlJXpldGFHJSV6ZXRhRy0mJSJ1RzYjIiNANiMlJXpldGFH</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzcvLSUlZGlmZkc2JC0mJSJ1RzYjIiM3NiMlJXpldGFHJSV6ZXRhRywoKiYjIiRTIyIlSjgiIiItJiUidUc2IyIjNzYjJSV6ZXRhRyIiIiIiIiomIyIiJSIiJCIiIi0mJSJ1RzYjIiIjNiMlJXpldGFHIiIiISIiKiYjIiIlIiIkIiIiLSYlInVHNiMiIiI2IyUlemV0YUciIiIiIiI=</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzgvLSUlZGlmZkc2JC0mJSJ1RzYjIiM4NiMlJXpldGFHJSV6ZXRhRywqKiYjIiRNIyIlSjgiIiItJiUidUc2IyIjODYjJSV6ZXRhRyIiIiIiIiomIyIiJCIiJSIiIi0mJSJ1RzYjIiIiNiMlJXpldGFHIiIiISIiKiYiIiMiIiItJiUidUc2IyIiIzYjJSV6ZXRhRyIiIiIiIiomIyIiJiIiJSIiIi0mJSJ1RzYjIiIkNiMlJXpldGFHIiIiISIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzkvLSUlZGlmZkc2JC0mJSJ1RzYjIiM5NiMlJXpldGFHJSV6ZXRhRywqKiYjIiRDIyIlSjgiIiItJiUidUc2IyIjOTYjJSV6ZXRhRyIiIiIiIiomIyIiJiIiJyIiIi0mJSJ1RzYjIiIjNiMlJXpldGFHIiIiISIiKiYiIiMiIiItJiUidUc2IyIiJDYjJSV6ZXRhRyIiIiIiIiomIyIiKCIiJyIiIi0mJSJ1RzYjIiIlNiMlJXpldGFHIiIiISIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzovLSUlZGlmZkc2JC0mJSJ1RzYjIiM6NiMlJXpldGFHJSV6ZXRhRywqKiYjIiQ1IyIlSjgiIiItJiUidUc2IyIjOjYjJSV6ZXRhRyIiIiIiIiomIyIiKCIiKSIiIi0mJSJ1RzYjIiIkNiMlJXpldGFHIiIiISIiKiYiIiMiIiItJiUidUc2IyIiJTYjJSV6ZXRhRyIiIiIiIiomIyIiKiIiKSIiIi0mJSJ1RzYjIiImNiMlJXpldGFHIiIiISIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzsvLSUlZGlmZkc2JC0mJSJ1RzYjIiM7NiMlJXpldGFHJSV6ZXRhRywqKiYjIiQjPiIlSjgiIiItJiUidUc2IyIjOzYjJSV6ZXRhRyIiIiIiIiomIyIiKiIjNSIiIi0mJSJ1RzYjIiIlNiMlJXpldGFHIiIiISIiKiYiIiMiIiItJiUidUc2IyIiJjYjJSV6ZXRhRyIiIiIiIiomIyIjNiIjNSIiIi0mJSJ1RzYjIiInNiMlJXpldGFHIiIiISIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIzwvLSUlZGlmZkc2JC0mJSJ1RzYjIiM8NiMlJXpldGFHJSV6ZXRhRywqKiYjIiRxIiIlSjgiIiItJiUidUc2IyIjPDYjJSV6ZXRhRyIiIiIiIiomIyIjNiIjNyIiIi0mJSJ1RzYjIiImNiMlJXpldGFHIiIiISIiKiYiIiMiIiItJiUidUc2IyIiJzYjJSV6ZXRhRyIiIiIiIiomIyIjOCIjNyIiIi0mJSJ1RzYjIiIoNiMlJXpldGFHIiIiISIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIz0vLSUlZGlmZkc2JC0mJSJ1RzYjIiM9NiMlJXpldGFHJSV6ZXRhRywqKiYjIiRXIiIlSjgiIiItJiUidUc2IyIjPTYjJSV6ZXRhRyIiIiIiIiomIyIjOCIjOSIiIi0mJSJ1RzYjIiInNiMlJXpldGFHIiIiISIiKiYiIiMiIiItJiUidUc2IyIiKDYjJSV6ZXRhRyIiIiIiIiomIyIjOiIjOSIiIi0mJSJ1RzYjIiIpNiMlJXpldGFHIiIiISIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIz4vLSUlZGlmZkc2JC0mJSJ1RzYjIiM+NiMlJXpldGFHJSV6ZXRhRywqKiYjIiQ5IiIlSjgiIiItJiUidUc2IyIjPjYjJSV6ZXRhRyIiIiIiIiomIyIjOiIjOyIiIi0mJSJ1RzYjIiIoNiMlJXpldGFHIiIiISIiKiYiIiMiIiItJiUidUc2IyIiKTYjJSV6ZXRhRyIiIiIiIiomIyIjPCIjOyIiIi0mJSJ1RzYjIiIqNiMlJXpldGFHIiIiISIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiIz8vLSUlZGlmZkc2JC0mJSJ1RzYjIiM/NiMlJXpldGFHJSV6ZXRhRywqKiYjIiMhKSIlSjgiIiItJiUidUc2IyIjPzYjJSV6ZXRhRyIiIiIiIiomIyIjPCIjPSIiIi0mJSJ1RzYjIiIpNiMlJXpldGFHIiIiISIiKiYiIiMiIiItJiUidUc2IyIiKjYjJSV6ZXRhRyIiIiIiIiomIyIjPiIjPSIiIi0mJSJ1RzYjIiM1NiMlJXpldGFHIiIiISIi</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjZXFHNiMiI0AvLSUlZGlmZkc2JC0mJSJ1RzYjIiNANiMlJXpldGFHJSV6ZXRhRywqKiYjIiNVIiVKOCIiIi0mJSJ1RzYjIiNANiMlJXpldGFHIiIiIiIiKiYjIiM+IiM/IiIiLSYlInVHNiMiIio2IyUlemV0YUciIiIhIiIqJiIiIyIiIi0mJSJ1RzYjIiM1NiMlJXpldGFHIiIiIiIiIyIjQCIjPyEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L28" 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..N)]:</Text-field>
</Input>
</Group>
<Group labelreference="L29" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=[seq(u[i](zeta),i=1..N),seq(u[N+1+i](zeta),i=1..N)];</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="L30" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">A:=genmatrix(eqns,Y,'b1'):</Text-field>
</Input>
</Group>
<Group labelreference="L31" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">if N&gt;2 then A:=map(evalf,A):end;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output" display="[encoded data, 6584 characters]">[encoded data, 6584 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L32" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">b:=matrix(2*N,1):for i from 1 to 2*N do b[i,1]:=-b1[i];od:evalm(b);</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="L33" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">h:=eval(1/(N+1));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSJoRyMiIiIiIzY=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L34" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat:=evalm(exponential(A,zeta)):</Text-field>
</Input>
</Group>
<Group labelreference="L35" 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="L36" 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="L37" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat2:=evalm(mat1&amp;*b2):</Text-field>
</Input>
</Group>
<Group labelreference="L38" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat2:=map(expand,mat2):</Text-field>
</Input>
</Group>
<Group labelreference="L39" 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="L40" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y0:=matrix(2*N,1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSNZMEctJSZhcnJheUc2JTsiIiIiIz87IiIiIiIiNyI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L41" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Y0[i,1]:=p[i];od:</Text-field>
</Input>
</Group>
<Group labelreference="L42" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Y0[N+i,1]:=c[i]:od:</Text-field>
</Input>
</Group>
<Group labelreference="L43" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalm(Y0);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYmLUYjNiUtSSdtdGFibGVHRiQ2SC1JJG10ckdGJDYmLUkkbXRkR0YkNigtSSVtc3ViR0YkNiUtSSNtaUdGJDYlUSJwRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtSSNtbkdGJDYkUSIxRicvRkRRJ25vcm1hbEYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJ0ZMLyUvc3Vic2NyaXB0c2hpZnRHUSIwRicvJSlyb3dhbGlnbkdRIUYnLyUsY29sdW1uYWxpZ25HRlYvJStncm91cGFsaWduR0ZWLyUocm93c3BhbkdRIjFGJy8lK2NvbHVtbnNwYW5HRmduRlRGV0ZZLUY0NiYtRjc2KC1GOjYlRjwtRiM2JS1GSTYkUSIyRidGTEZORkxGUUZURldGWUZlbkZobkZURldGWS1GNDYmLUY3NigtRjo2JUY8LUYjNiUtRkk2JFEiM0YnRkxGTkZMRlFGVEZXRllGZW5GaG5GVEZXRlktRjQ2Ji1GNzYoLUY6NiVGPC1GIzYlLUZJNiRRIjRGJ0ZMRk5GTEZRRlRGV0ZZRmVuRmhuRlRGV0ZZLUY0NiYtRjc2KC1GOjYlRjwtRiM2JS1GSTYkUSI1RidGTEZORkxGUUZURldGWUZlbkZobkZURldGWS1GNDYmLUY3NigtRjo2JUY8LUYjNiUtRkk2JFEiNkYnRkxGTkZMRlFGVEZXRllGZW5GaG5GVEZXRlktRjQ2Ji1GNzYoLUY6NiVGPC1GIzYlLUZJNiRRIjdGJ0ZMRk5GTEZRRlRGV0ZZRmVuRmhuRlRGV0ZZLUY0NiYtRjc2KC1GOjYlRjwtRiM2JS1GSTYkUSI4RidGTEZORkxGUUZURldGWUZlbkZobkZURldGWS1GNDYmLUY3NigtRjo2JUY8LUYjNiUtRkk2JFEiOUYnRkxGTkZMRlFGVEZXRllGZW5GaG5GVEZXRlktRjQ2Ji1GNzYoLUY6NiVGPC1GIzYlLUZJNiRRIzEwRidGTEZORkxGUUZURldGWUZlbkZobkZURldGWS1GNDYmLUY3NigtRjo2JS1GPTYlUSJjRidGQEZDRkZGUUZURldGWUZlbkZobkZURldGWS1GNDYmLUY3NigtRjo2JUZjdUZgb0ZRRlRGV0ZZRmVuRmhuRlRGV0ZZLUY0NiYtRjc2KC1GOjYlRmN1RltwRlFGVEZXRllGZW5GaG5GVEZXRlktRjQ2Ji1GNzYoLUY6NiVGY3VGZnBGUUZURldGWUZlbkZobkZURldGWS1GNDYmLUY3NigtRjo2JUZjdUZhcUZRRlRGV0ZZRmVuRmhuRlRGV0ZZLUY0NiYtRjc2KC1GOjYlRmN1RlxyRlFGVEZXRllGZW5GaG5GVEZXRlktRjQ2Ji1GNzYoLUY6NiVGY3VGZ3JGUUZURldGWUZlbkZobkZURldGWS1GNDYmLUY3NigtRjo2JUZjdUZic0ZRRlRGV0ZZRmVuRmhuRlRGV0ZZLUY0NiYtRjc2KC1GOjYlRmN1Rl10RlFGVEZXRllGZW5GaG5GVEZXRlktRjQ2Ji1GNzYoLUY6NiVGY3VGaHRGUUZURldGWUZlbkZobkZURldGWS8lJmFsaWduR1ElYXhpc0YnL0ZVUSliYXNlbGluZUYnL0ZYUSdjZW50ZXJGJy9GWlEnfGZybGVmdHxockYnLyUvYWxpZ25tZW50c2NvcGVHRkIvJSxjb2x1bW53aWR0aEdRJWF1dG9GJy8lJndpZHRoR0ZpeS8lK3Jvd3NwYWNpbmdHUSYxLjBleEYnLyUuY29sdW1uc3BhY2luZ0dRJjAuOGVtRicvJSlyb3dsaW5lc0dRJW5vbmVGJy8lLGNvbHVtbmxpbmVzR0Zkei8lJmZyYW1lR0Zkei8lLWZyYW1lc3BhY2luZ0dRLDAuNGVtfjAuNWV4RicvJSplcXVhbHJvd3NHUSZmYWxzZUYnLyUtZXF1YWxjb2x1bW5zR0ZeW2wvJS1kaXNwbGF5c3R5bGVHRl5bbC8lJXNpZGVHUSZyaWdodEYnLyUwbWlubGFiZWxzcGFjaW5nR0ZhekZORkxGTC8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJ0ZORkw=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L44" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=evalm(mat&amp;*Y0+mat3):</Text-field>
</Input>
</Group>
<Group labelreference="L45" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol0:=map(eval,evalm(subs(zeta=0,evalm(Y)))):</Text-field>
</Input>
</Group>
<Group labelreference="L46" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol1:=map(eval,evalm(subs(zeta=epsilon*H/h,evalm(Y)))):</Text-field>
</Input>
</Group>
<Group labelreference="L47" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Eq[i]:=subs(diff(u(x,y),y)=epsilon/h*c[i],u(x,y)=p[i],x=i*h,bc3);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>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIiUmJSJwRzYjIiIl</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIiYmJSJwRzYjIiIm</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIicmJSJwRzYjIiIn</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIigmJSJwRzYjIiIo</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIikmJSJwRzYjIiIp</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIiomJSJwRzYjIiIq</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIzUmJSJwRzYjIiM1</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L48" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Eq[N+i]:=evalf(subs(diff(u(x,y),y)=epsilon/h*sol1[N+i,1],u(x,y)=sol1[i,1],bc4));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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<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+JiUjRXFHNiMiIz0sTComJCJTZ05gITRJKDQkNCZbLkVlPkAlPWN0d25GJlw3PyEjSSIiIiYlImNHNiMiIikiIiIiIiIqJiQiU0JUPylRNk8sQGVnSTBFJHlnb0lIKFJTZkNgIiEjSSIiIiYlImNHNiMiIioiIiIhIiIqJiQiU3AtIlwiPjdfRT1bVTJ2eV9yXWN0IXBmSnVIKSEjSiIiIiYlImNHNiMiIzUiIiIiIiIqJiQiUzhaRzYuLC50I281R1NRWjspeXk6dUAiNDVyIiEjSSIiIiYlImNHNiMiIiYiIiIhIiIqJiQiU3AxaFQvIlFgI1IoNGRCcHlhSzVsMTcnZkVwPyEjSSIiIiYlImNHNiMiIiciIiIiIiIqJiQiU2JfX1c1KlFoZi4wLyVHKFttWTEmcFgoPixRPiMhI0kiIiImJSJjRzYjIiIoIiIiISIiKiYkIlNlPFA8KFtMdmE4UT1PIVtITEBXJVEhUTonKVxQISNKIiIiJiUiY0c2IyIiIyIiIiIiIiomJCJTKFwjeiUqM1JZZTI1YlEhNC41U2VdSlpddXdvKCEjSiIiIiYlImNHNiMiIiQiIiIhIiIqJiQiU1MjUSVSIWZkUzN1WSpvTzwpKVskKSlINi5ZPylRNyEjSSIiIiYlImNHNiMiIiUiIiIiIiIqJiQiU1pAQGd1YGBgY0lCX3A3aTwjZiQ9XXJCUjo1ISNKIiIiJiUiY0c2IyIiIiIiIiEiIiomJCJTIXpORCtNO3hgQzRedj0udnNLV2gnKWYkW047ISNJIiIiJiUicEc2IyIjNSIiIiIiIiomJCJTI2Y1T0kmZm8tXmpucGdXIzNgXClISl1MZy9VISNJIiIiJiUicEc2IyIiKCIiIiEiIiomJCJTI1FkQ0kjUmdLOkcoXG1LUGM5eWVJSSF5bCIpUSEjSSIiIiYlInBHNiMiIikiIiIiIiIqJiQiU3pvKXphWHE6I0hCamJDVVtgVWl2IylHJEhPKUghI0kiIiImJSJwRzYjIiIqIiIiISIiKiYkIlMsRTQvcXkiZXMhM0hKaiZbdHBcTk9jITROc0IhI0kiIiImJSJwRzYjIiIlIiIiIiIiKiYkIlM8YzJacyE+c18sXiNwciZ6NGArOTh0cV8ib0shI0kiIiImJSJwRzYjIiImIiIiISIiKiYkIlNPJlFGKnlMJUc7WkpDIW9lJypmZD4oZkhIPEomUiEjSSIiIiYlInBHNiMiIiciIiIiIiIqJiQiU2A1PiQ9ayFwZygqcCpSKikqKVIkZkEuRywmKilII3A+ISNKIiIiJiUicEc2IyIiIiIiIiEiIiomJCJTIVxtLyE0LmhnU0NpZkFoPkdkSFIhcHcoKXpDKCEjSiIiIiYlInBHNiMiIiMiIiIiIiIqJiQiU2ZqYnhgMVFrLVJjVzZMKzJcW3dgd1oiKXk5ISNJIiIiJiUicEc2IyIiJCIiIiEiIiQiUy5TJTQpUk08SmRHVjcmKioqW11YQillW0NfR04lISNKISIi</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>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">csol:=solve({seq(Eq[i],i=1..2*N)},{seq(c[i],i=1..N),seq(p[i],i=1..N)});</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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<Group labelreference="L50" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">assign(csol);</Text-field>
</Input>
</Group>
<Group labelreference="L51" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=map(eval,Y):</Text-field>
</Input>
</Group>
<Group labelreference="L52" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do u[i](zeta):=eval((Y[i,1]));od:</Text-field>
</Input>
</Group>
<Group labelreference="L53" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do u[i](zeta):=eval(u[i](zeta));od:</Text-field>
</Input>
</Group>
<Group labelreference="L54" 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="L55" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do p[i]:=plot(u[i](y),y=0..H,thickness=3);od:</Text-field>
</Input>
</Group>
<Group labelreference="L56" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display({seq(p[i],i=0..N+1)},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, 26196 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L57" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">M:=20;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSJNRyIjPw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L58" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">T1:=[seq(evalf(i*H/M),i=0..M)]:</Text-field>
</Input>
</Group>
<Group labelreference="L59" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">P[1]:=plot([seq([h*i,0.],i=0..N+1)],style=line,thickness=3,axes=boxed,view=[0..1,0..1.1]):</Text-field>
</Input>
</Group>
<Group labelreference="L60" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for j from 2 to M+1 do P[j]:=plot([seq([h*i,evalf(subs(y=T1[j],evalf(u[i](y))))],i=0..N+1)],style=line,thickness=3,axes=boxed,view=[0..1,0..1.1]):od:</Text-field>
</Input>
</Group>
<Group labelreference="L61" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display({seq(P[i],i=1..M+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">[encoded data, 14028 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L62" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Ny:=30;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSNOeUciI0k=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L63" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">PP:=matrix(N+2,Ny);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSNQUEctJSZhcnJheUc2JTsiIiIiIzc7IiIiIiNJNyI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L64" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N+2 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="L65" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">PP[N+2,1]:=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjUFBHNiQiIzciIiIiIiE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L66" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plotdata := [seq([ seq([(i-1)/(N+1),(j-1)*H/(Ny-1),PP[i,j]], i=1..N+2)], j=1..Ny)]:</Text-field>
</Input>
</Group>
<Group labelreference="L67" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">surfdata( plotdata, axes=boxed, labels=[x,y,u],orientation=[-150,45] );</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">[encoded data, 22432 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L68" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>