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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">ge:=diff(u(x,y),y$2)=-diff(u(x,y),x$2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSNnZUcvLSUlZGlmZkc2JC0lInVHNiQlInhHJSJ5Ry0lIiRHNiQlInlHIiIjLCQtJSVkaWZmRzYkLSUidUc2JCUieEclInlHLSUiJEc2JCUieEciIiMhIiI=</Equation></Text-field>
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</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Digits:=20;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSdEaWdpdHNHIiM/</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>
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</Group>
<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=diff(u(x,y),x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSRiYzJHLSUlZGlmZkc2JC0lInVHNiQlInhHJSJ5RyUieEc=</Equation></Text-field>
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<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc3:=u(x,y)-1;</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSRiYzNHLCYtJSJ1RzYkJSJ4RyUieUciIiIiIiIhIiI=</Equation></Text-field>
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<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc4:=u(x,y);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSRiYzRHLSUidUc2JCUieEclInlH</Equation></Text-field>
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<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq_cathode:=y=1+0.5*x;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JStlcV9jYXRob2RlRy8lInlHLCYiIiIiIiIqJiQiIiYhIiIiIiIlInhHIiIiIiIi</Equation></Text-field>
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<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>
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</Group>
<Group labelreference="L11" 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="L12" 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="L13" 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="L14" 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="L15" 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),bc1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSRiYzFHLCQqKCMiIiIiIiMiIiIlImhHISIiLCgtJiUidUc2IyIiIzYjJSV6ZXRhRyEiIiomIiIkIiIiLSYlInVHNiMiIiE2IyUlemV0YUciIiIhIiIqJiIiJSIiIi0mJSJ1RzYjIiIiNiMlJXpldGFHIiIiIiIiIiIiIiIi</Equation></Text-field>
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<Group labelreference="L16" 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),bc2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSRiYzJHLCQqKCMiIiIiIiMiIiIlImhHISIiLCgtJiUidUc2IywmJSJORyIiIiIiIiEiIjYjJSV6ZXRhRyIiIiomIiIkIiIiLSYlInVHNiMsJiUiTkciIiIiIiIiIiI2IyUlemV0YUciIiIiIiIqJiIiJSIiIi0mJSJ1RzYjJSJORzYjJSV6ZXRhRyIiIiEiIiIiIiIiIg==</Equation></Text-field>
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<Group labelreference="L17" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">N:=10;</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSJORyIjNQ==</Equation></Text-field>
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<Group labelreference="L18" 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="L19" 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+JiUjZXFHNiMiIzYsJCooIyIiIiIiIyIiIiUiaEchIiIsKC0mJSJ1RzYjIiIqNiMlJXpldGFHIiIiKiYiIiQiIiItJiUidUc2IyIjNjYjJSV6ZXRhRyIiIiIiIiomIiIlIiIiLSYlInVHNiMiIzU2IyUlemV0YUciIiIhIiIiIiIiIiI=</Equation></Text-field>
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</Group>
<Group labelreference="L20" 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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</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[0](zeta):=(solve(eq[0],u[0](zeta)));</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+LSYlInVHNiMiIiE2IyUlemV0YUcsJiomIyIiIiIiJCIiIi0mJSJ1RzYjIiIjNiMlJXpldGFHIiIiISIiKiYjIiIlIiIkIiIiLSYlInVHNiMiIiI2IyUlemV0YUciIiIiIiI=</Equation></Text-field>
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<Group labelreference="L22" 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>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+LSYlInVHNiMiIzY2IyUlemV0YUcsJiomIyIiIiIiJCIiIi0mJSJ1RzYjIiIqNiMlJXpldGFHIiIiISIiKiYjIiIlIiIkIiIiLSYlInVHNiMiIzU2IyUlemV0YUciIiIiIiI=</Equation></Text-field>
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<Group labelreference="L23" 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>
</Group>
<Group labelreference="L24" 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>
</Group>
<Group labelreference="L25" 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="L26" 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>
</Group>
<Group labelreference="L27" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">A:=genmatrix(eqns,Y,'b1'):</Text-field>
</Input>
</Group>
<Group labelreference="L28" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">if N&gt;2 then A:=map(evalf,A):end:</Text-field>
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<Group labelreference="L29" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalm(A):</Text-field>
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<Group labelreference="L30" 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>
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<Group labelreference="L31" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">h:=eval(1/(N+1));</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JSJoRyMiIiIiIzY=</Equation></Text-field>
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<Group labelreference="L32" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">J:=jordan(A,S):</Text-field>
</Input>
</Group>
<Group labelreference="L33" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat:=evalm(S&amp;*exponential(J,zeta)&amp;*inverse(S)):</Text-field>
</Input>
</Group>
<Group labelreference="L34" 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="L35" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">b2:=evalm(subs(zeta=zeta1,evalm(b))):</Text-field>
</Input>
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<Group labelreference="L36" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat2:=evalm(mat1&amp;*b2):</Text-field>
</Input>
</Group>
<Group labelreference="L37" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat2:=map(expand,mat2):</Text-field>
</Input>
</Group>
<Group labelreference="L38" 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="L39" 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>
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<Group labelreference="L40" 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="L41" 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="L42" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalm(Y0):</Text-field>
</Input>
</Group>
<Group labelreference="L43" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=evalm(mat&amp;*Y0+mat3):</Text-field>
</Input>
</Group>
<Group labelreference="L44" 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="L45" 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>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIiIsJiYlInBHNiMiIiIiIiIiIiIhIiI=</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIiMsJiYlInBHNiMiIiMiIiIiIiIhIiI=</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIiQsJiYlInBHNiMiIiQiIiIiIiIhIiI=</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIiUsJiYlInBHNiMiIiUiIiIiIiIhIiI=</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIiYsJiYlInBHNiMiIiYiIiIiIiIhIiI=</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIicsJiYlInBHNiMiIiciIiIiIiIhIiI=</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIigsJiYlInBHNiMiIigiIiIiIiIhIiI=</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIiksJiYlInBHNiMiIikiIiIiIiIhIiI=</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIiosJiYlInBHNiMiIioiIiIiIiIhIiI=</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiM+JiUjRXFHNiMiIzUsJiYlInBHNiMiIzUiIiIiIiIhIiI=</Equation></Text-field>
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<Group labelreference="L46" 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*Y[N+i,1],u(x,y)=Y[i,1],bc4));od;</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">[encoded data, 37844 characters]</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">[encoded data, 37880 characters]</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">[encoded data, 37860 characters]</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">[encoded data, 37796 characters]</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">[encoded data, 37800 characters]</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">[encoded data, 37776 characters]</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">[encoded data, 37828 characters]</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">[encoded data, 37860 characters]</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">[encoded data, 37888 characters]</Equation></Text-field>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">[encoded data, 37824 characters]</Equation></Text-field>
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</Group>
<Group labelreference="L47" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Eq[N+i]:=evalf(subs(zeta=epsilon/h*(1+0.5*i*h),Eq[N+i]));od;</Text-field>
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<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>
<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="L48" drawlabel="true">
<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>
</Output>
</Group>
<Group labelreference="L49" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">assign(csol);</Text-field>
</Input>
</Group>
<Group labelreference="L50" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">YY:=map(eval,Y):</Text-field>
</Input>
</Group>
<Group labelreference="L51" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do u[i](zeta):=eval((YY[i,1]));od:</Text-field>
</Input>
</Group>
<Group labelreference="L52" 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="L53" 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>
<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">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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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<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+LSYlInVHNiMiIic2IyUieUcsSiomJCI1OjNhVTB1cmYmUSkhIz8iIiIlInlHIiIiISIiKiYkIi06Wmw+UjshI0IiIiItJSRleHBHNiMsJComJCI1WDs8LVA5LWhPPiEjPSIiIiUieUciIiIhIiIiIiIiIiIqJiQiKzcqSD43KCEjQiIiIi0lJGV4cEc2IywkKiYkIjUxK1JMPjViOSIzIyEjPSIiIiUieUciIiIhIiIiIiIiIiIqJiQiKyxeJ0hyIyEjQiIiIi0lJGV4cEc2IywkKiYkIjUiM0YneUpFbCxxQCEjPSIiIiUieUciIiIhIiIiIiIhIiIqJiQiMSlcZFMqZkFbQyEjQSIiIi0lJGV4cEc2IywkKiYkIjViLE0mNDAhUS1sJCohIz4iIiIlInlHIiIiISIiIiIiIiIiKiYkIjBqYSh5Jyk9WzYhI0EiIiItJSRleHBHNiMsJComJCI1NEtlLEhGYSc+QiIhIz0iIiIlInlHIiIiISIiIiIiIiIiKiYkIi5kanVIdz8kISNBIiIiLSUkZXhwRzYjLCQqJiQiNVt4OCRIYFA9UV0iISM9IiIiJSJ5RyIiIiEiIiIiIiEiIiomJCIua0xfVEFXIiEjQiIiIi0lJGV4cEc2IywkKiYkIjVfRjtMT1QnSDx1IiEjPSIiIiUieUciIiIhIiIiIiIhIiIqJiQiNUg7cmI9cEQmWzAmISNCIiIiLSUkZXhwRzYjLCQqJiQiNTxsJSlwXSFlQkA5JCEjPiIiIiUieUciIiIhIiIiIiIhIiIqJiQiMk8iZXklXCQqeS4kISNAIiIiLSUkZXhwRzYjLCQqJiQiNW15Y1J4XydcIXlpISM+IiIiJSJ5RyIiIiEiIiIiIiEiIiomJCItOy1JRFY5ISNBIiIiLSUkZXhwRzYjLCQqJiQiNV9GO0xPVCdIPHUiISM9IiIiJSJ5RyIiIiIiIiIiIiIiIiomJCIuJXp2cG4ySyEjQSIiIi0lJGV4cEc2IywkKiYkIjVbeDgkSGBQPVFdIiEjPSIiIiUieUciIiIiIiIiIiIiIiIqJiQiMCF6I2V5Jz1bNiEjQSIiIi0lJGV4cEc2IywkKiYkIjU0S2UsSEZhJz5CIiEjPSIiIiUieUciIiIiIiIiIiIhIiIqJiQiMF8ieVZmQVtDISNAIiIiLSUkZXhwRzYjLCQqJiQiNWIsTSY0MCFRLWwkKiEjPiIiIiUieUciIiIiIiIiIiIhIiIqJiQiMyo9JFsvJlwkKnkuJCEjQSIiIi0lJGV4cEc2IywkKiYkIjVteWNSeF8nXCF5aSEjPiIiIiUieUciIiIiIiIiIiIiIiIqJiQiNCJ6cUBLcEQmWzAmISNBIiIiLSUkZXhwRzYjLCQqJiQiNTxsJSlwXSFlQkA5JCEjPiIiIiUieUciIiIiIiIiIiIiIiIqJiQiKk4heWFVISNBIiIiLSUkZXhwRzYjLCQqJiQiNSIzRid5SkVsLHFAISM9IiIiJSJ5RyIiIiIiIiIiIiIiIiomJCIrRDg0RnghI0IiIiItJSRleHBHNiMsJComJCI1MStSTD41YjkiMyMhIz0iIiIlInlHIiIiIiIiIiIiISIiKiYkIi1jKFEiZl07ISNCIiIiLSUkZXhwRzYjLCQqJiQiNVg7PC1QOS1oTz4hIz0iIiIlInlHIiIiIiIiIiIiISIiJCI1YSkqcCUqKioqKioqKioqKioqISM/IiIi</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>
<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">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L54" 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..(1+0.5*i*h),thickness=3);od:</Text-field>
</Input>
</Group>
<Group labelreference="L55" 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, 26888 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L56" 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="L57" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">T1:=[seq(evalf(i/M),i=0..M)];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output12"><Equation executable="false" style="2D Output">NiM+JSNUMUc3NyQiIiEiIiEkIjUrKysrKysrKytdISNAJCI1KysrKysrKysrNSEjPyQiNSsrKysrKysrKzohIz8kIjUrKysrKysrKys/ISM/JCI1KysrKysrKysrRCEjPyQiNSsrKysrKysrK0khIz8kIjUrKysrKysrKytOISM/JCI1KysrKysrKysrUyEjPyQiNSsrKysrKysrK1ghIz8kIjUrKysrKysrKytdISM/JCI1KysrKysrKysrYiEjPyQiNSsrKysrKysrK2chIz8kIjUrKysrKysrKytsISM/JCI1KysrKysrKysrcSEjPyQiNSsrKysrKysrK3YhIz8kIjUrKysrKysrKyshKSEjPyQiNSsrKysrKysrKyYpISM/JCI1KysrKysrKysrISohIz8kIjUrKysrKysrKysmKiEjPyQiIiIiIiE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L58" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for j from 1 to M+1 do P[j]:=plot([seq([h*i,evalf(subs(y=T1[j]*(1+0.5*i*h),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="L59" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">P[M+1]:=plot([seq([h*i,evalf(subs(x=i*h,0))],i=0..N+1)],style=line,thickness=3,axes=boxed):</Text-field>
</Input>
</Group>
<Group labelreference="L60" 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, 14092 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L61" 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="L62" 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="L63" 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="L64" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N+2 do for j from 2 to Ny-1 do PP[i,j]:=evalf(subs(y=(j-1)*(1+0.5*(i-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">plotdata := [seq([ seq([(i-1)/(N+1),(j-1)*(1+0.5*(i-1)*h)/(Ny-1),PP[i,j]], i=1..N+2)], j=1..Ny)]:</Text-field>
</Input>
</Group>
<Group labelreference="L66" 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">[encoded data, 20168 characters]</Plot></Text-field>
</Output>
</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=[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">[encoded data, 20276 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L68" 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="L69" 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="L70" 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="L71" 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="L72" 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">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</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L73" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>