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<Group labelreference="L42" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Example 5.2.2 Variable Diffusivity</Text-field>
</Input>
</Group>
<Group labelreference="L41" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;</Text-field>
</Input>
</Group>
<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(linalg):with(plots):</Text-field>
</Input>
</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ge:=diff(u(x,t),t)=diff((1+alpha*u(x,t))*diff(u(x,t),x),x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjZ2VHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHRiQ2JEkieEdGJEkidEdGJEYuLCYqJkkmYWxwaGFHRiQiIiIpLUYnNiRGKkYtIiIjRjJGMiomLCZGMkYyKiZGMUYyRipGMkYyRjItRic2JEYqLUkiJEdGKDYkRi1GNkYyRjI=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJ1RzYiNiRJInhHRilJInRHRilGLCwmKiZJJmFscGhhR0YpIiIiKS1GJDYkRidGKyIiI0YwRjAqJiwmRjBGMComRi9GMEYnRjBGMEYwLUYkNiRGMkYrRjBGMA==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=u(x,t)-1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMxRzYiLCYtSSJ1R0YkNiRJInhHRiRJInRHRiQiIiJGKyEiIg==">LCYtSSJ1RzYiNiRJInhHRiVJInRHRiUiIiJGKSEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=diff(u(x,t),x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMyRzYiLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHRiQ2JEkieEdGJEkidEdGJEYs">LUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHNiI2JEkieEdGKEkidEdGKEYq</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">IC:=u(x,0)=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjSUNHNiIvLUkidUdGJDYkSSJ4R0YkIiIhRio=">Ly1JInVHNiI2JEkieEdGJSIiIUYo</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L8" 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" display="PkkiTkc2IiIjNQ==">IiM1</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">L:=1;</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTEc2IiIiIg==">IiIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">alpha:=1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmYWxwaGFHNiIiIiI=">IiIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxf:=1/2*(-u[2](t)-3*u[0](t)+4*u[1](t))/h;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmZHlkeGZHNiIsJCooIyIiIiIiI0YoLCgtJkkidUdGJDYjRik2I0kidEdGJCEiIiomIiIkRigtJkYtNiMiIiFGL0YoRjEqJiIiJUYoLSZGLTYjRihGL0YoRihGKEkiaEdGJEYxRig=">LCQqKCMiIiIiIiNGJSwoLSZJInVHNiI2I0YmNiNJInRHRishIiIqJiIiJEYlLSZGKjYjIiIhRi1GJUYvKiYiIiVGJS0mRio2I0YlRi1GJUYlRiVJImhHRitGL0Yl</Equation></Text-field>
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<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxb:=1/2*(u[N-1](t)+3*u[N+1](t)-4*u[N](t))/h;</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmZHlkeGJHNiIsJCooIyIiIiIiI0YoLCgtJkkidUdGJDYjIiIqNiNJInRHRiRGKComIiIkRigtJkYtNiMiIzZGMEYoRigqJiIiJUYoLSZGLTYjIiM1RjBGKCEiIkYoSSJoR0YkRj5GKA==">LCQqKCMiIiIiIiNGJSwoLSZJInVHNiI2IyIiKjYjSSJ0R0YrRiUqJiIiJEYlLSZGKjYjIiM2Ri5GJUYlKiYiIiVGJS0mRio2IyIjNUYuRiUhIiJGJUkiaEdGK0Y8RiU=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydx:=1/2/h*(u[m+1](t)-u[m-1](t));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklZHlkeEc2IiwkKigjIiIiIiIjRihJImhHRiQhIiIsJi0mSSJ1R0YkNiMsJkkibUdGJEYoRihGKDYjSSJ0R0YkRigtJkYvNiMsJkYyRihGKEYrRjNGK0YoRig=">LCQqKCMiIiIiIiNGJUkiaEc2IiEiIiwmLSZJInVHRig2IywmSSJtR0YoRiVGJUYlNiNJInRHRihGJS0mRi02IywmRjBGJUYlRilGMUYpRiVGJQ==</Equation></Text-field>
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<Group labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">d2ydx2:=1/h^2*(u[m-1](t)-2*u[m](t)+u[m+1](t));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknZDJ5ZHgyRzYiKiYpSSJoR0YkIiIjISIiLCgtJkkidUdGJDYjLCZJIm1HRiQiIiJGMUYpNiNJInRHRiRGMSomRihGMS0mRi02I0YwRjJGMUYpLSZGLTYjLCZGMEYxRjFGMUYyRjFGMQ==">KiYpSSJoRzYiIiIjISIiLCgtJkkidUdGJTYjLCZJIm1HRiUiIiJGL0YnNiNJInRHRiVGLyomRiZGLy0mRis2I0YuRjBGL0YnLSZGKzYjLCZGLkYvRi9GL0YwRi9GLw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=subs(diff(u(x,t),x)=dydxf,u(x,t)=u[0](t),x=0,bc1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMxRzYiLCYtJkkidUdGJDYjIiIhNiNJInRHRiQiIiJGLSEiIg==">LCYtJkkidUc2IjYjIiIhNiNJInRHRiYiIiJGKyEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L16" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=subs(diff(u(x,t),x)=dydxb,u(x,t)=u[N+1](t),x=1,bc2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMyRzYiLCQqKCMiIiIiIiNGKCwoLSZJInVHRiQ2IyIiKjYjSSJ0R0YkRigqJiIiJEYoLSZGLTYjIiM2RjBGKEYoKiYiIiVGKC0mRi02IyIjNUYwRighIiJGKEkiaEdGJEY+Rig=">LCQqKCMiIiIiIiNGJSwoLSZJInVHNiI2IyIiKjYjSSJ0R0YrRiUqJiIiJEYlLSZGKjYjIiM2Ri5GJUYlKiYiIiVGJS0mRio2IyIjNUYuRiUhIiJGJUkiaEdGK0Y8RiU=</Equation></Text-field>
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<Group labelreference="L17" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[0]:=bc1; </Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiEsJi0mSSJ1R0YlRiY2I0kidEdGJSIiIkYuISIi">LCYtJkkidUc2IjYjIiIhNiNJInRHRiYiIiJGKyEiIg==</Equation></Text-field>
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<Group labelreference="L18" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[N+1]:=bc2; </Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzYsJCooIyIiIiIiI0YrLCgtJkkidUdGJTYjIiIqNiNJInRHRiVGKyomIiIkRistJkYwRiZGM0YrRisqJiIiJUYrLSZGMDYjIiM1RjNGKyEiIkYrSSJoR0YlRj9GKw==">LCQqKCMiIiIiIiNGJSwoLSZJInVHNiI2IyIiKjYjSSJ0R0YrRiUqJiIiJEYlLSZGKjYjIiM2Ri5GJUYlKiYiIiVGJS0mRio2IyIjNUYuRiUhIiJGJUkiaEdGK0Y8RiU=</Equation></Text-field>
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<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i]:=diff(u[i](t),t)= subs(diff(u(x,t),x$2) = subs(m=i,d2ydx2),diff(u(x,t),x) = subs(m=i,dydx),u(x,t)=u[i](t),x=i*h,rhs(ge));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqKCNGJyIiJUYnKUkiaEdGJSIiIyEiIiksJi0mRi82I0Y4RjBGJy0mRi82IyIiIUYwRjlGOEYnRicqKCwmRidGJ0YtRidGJ0Y2RjksKEY/RicqJkY4RidGLUYnRjlGPEYnRidGJw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIiNiNJInRHRipGLiwmKigjRiwiIiVGLClJImhHRioiIiMhIiIpLCYtJkYpNiNGNUYtRiwtJkYpNiMiIiFGLUY2RjVGLEYsKigsJkYsRixGJ0YsRixGM0Y2LChGPEYsKiZGNUYsRidGLEY2RjlGLEYsRiw=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqKCMiIiIiIiVGNSlJImhHRiVGJyEiIiksJi0mRi82IyIiJEYwRjUtJkYvNiNGNUYwRjlGJ0Y1RjUqKCwmRjVGNUYtRjVGNUY3RjksKEZARjUqJkYnRjVGLUY1RjlGPEY1RjVGNQ==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIjNiNJInRHRipGLiwmKigjIiIiIiIlRjIpSSJoR0YqRiwhIiIpLCYtJkYpNiMiIiRGLUYyLSZGKTYjRjJGLUY2RixGMkYyKigsJkYyRjJGJ0YyRjJGNEY2LChGPUYyKiZGLEYyRidGMkY2RjlGMkYyRjI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiQvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqKCMiIiIiIiVGNSlJImhHRiUiIiMhIiIpLCYtJkYvNiNGNkYwRjUtJkYvNiNGOUYwRjpGOUY1RjUqKCwmRjVGNUYtRjVGNUY3RjosKEZARjUqJkY5RjVGLUY1RjpGPUY1RjVGNQ==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIkNiNJInRHRipGLiwmKigjIiIiIiIlRjIpSSJoR0YqIiIjISIiKSwmLSZGKTYjRjNGLUYyLSZGKTYjRjZGLUY3RjZGMkYyKigsJkYyRjJGJ0YyRjJGNEY3LChGPUYyKiZGNkYyRidGMkY3RjpGMkYyRjI=</Equation></Text-field>
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<Output>
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<Output>
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<Output>
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<Output>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIikvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqKCMiIiIiIiVGNSlJImhHRiUiIiMhIiIpLCYtJkYvNiMiIipGMEY1LSZGLzYjIiIoRjBGOkY5RjVGNSooLCZGNUY1Ri1GNUY1RjdGOiwoRkFGNSomRjlGNUYtRjVGOkY9RjVGNUY1">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIpNiNJInRHRipGLiwmKigjIiIiIiIlRjIpSSJoR0YqIiIjISIiKSwmLSZGKTYjIiIqRi1GMi0mRik2IyIiKEYtRjdGNkYyRjIqKCwmRjJGMkYnRjJGMkY0RjcsKEY+RjIqJkY2RjJGJ0YyRjdGOkYyRjJGMg==</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiovLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqKCMiIiIiIiVGNSlJImhHRiUiIiMhIiIpLCYtJkYvNiMiIzVGMEY1LSZGLzYjIiIpRjBGOkY5RjVGNSooLCZGNUY1Ri1GNUY1RjdGOiwoRkFGNSomRjlGNUYtRjVGOkY9RjVGNUY1">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIqNiNJInRHRipGLiwmKigjIiIiIiIlRjIpSSJoR0YqIiIjISIiKSwmLSZGKTYjIiM1Ri1GMi0mRik2IyIiKUYtRjdGNkYyRjIqKCwmRjJGMkYnRjJGMkY0RjcsKEY+RjIqJkY2RjJGJ0YyRjdGOkYyRjJGMg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzUvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqKCMiIiIiIiVGNSlJImhHRiUiIiMhIiIpLCYtJkYvNiMiIzZGMEY1LSZGLzYjIiIqRjBGOkY5RjVGNSooLCZGNUY1Ri1GNUY1RjdGOiwoRkFGNSomRjlGNUYtRjVGOkY9RjVGNUY1">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM1NiNJInRHRipGLiwmKigjIiIiIiIlRjIpSSJoR0YqIiIjISIiKSwmLSZGKTYjIiM2Ri1GMi0mRik2IyIiKkYtRjdGNkYyRjIqKCwmRjJGMkYnRjJGMkY0RjcsKEY+RjIqJkY2RjJGJ0YyRjdGOkYyRjJGMg==</Equation></Text-field>
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<Group labelreference="L20" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[0](t):=(solve(eq[0],u[0](t)));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIiE2I0kidEdGJiIiIg==">IiIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[N+1](t):=solve(eq[N+1],u[N+1](t));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIzY2I0kidEdGJiwmKiYjIiIiIiIkRi4tJkYlNiMiIipGKUYuISIiKiYjIiIlRi9GLi0mRiU2IyIjNUYpRi5GLg==">LCYqJiMiIiIiIiRGJS0mSSJ1RzYiNiMiIio2I0kidEdGKkYlISIiKiYjIiIlRiZGJS0mRik2IyIjNUYtRiVGJQ==</Equation></Text-field>
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</Group>
<Group labelreference="L22" 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" display="PkkiaEc2IiMiIiIiIzY=">IyIiIiIjNg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L23" 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;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqJiMiJEAiIiIlRicpLCYtJkYvNiMiIiNGMEYnRichIiJGPEYnRicqKEY1RicsJkYnRidGLUYnRicsKEYnRicqJkY8RidGLUYnRj1GOUYnRidGJw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIiNiNJInRHRipGLiwmKiYjIiRAIiIiJUYsKSwmLSZGKTYjIiIjRi1GLEYsISIiRjlGLEYsKihGMkYsLCZGLEYsRidGLEYsLChGLEYsKiZGOUYsRidGLEY6RjZGLEYsRiw=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqJiMiJEAiIiIlIiIiKSwmLSZGLzYjIiIkRjBGNy0mRi82I0Y3RjAhIiJGJ0Y3RjcqKEY1RjcsJkY3RjdGLUY3RjcsKEY+RjcqJkYnRjdGLUY3RkFGOkY3RjdGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIjNiNJInRHRipGLiwmKiYjIiRAIiIiJSIiIiksJi0mRik2IyIiJEYtRjQtJkYpNiNGNEYtISIiRixGNEY0KihGMkY0LCZGNEY0RidGNEY0LChGO0Y0KiZGLEY0RidGNEY+RjdGNEY0RjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiQvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqJiMiJEAiIiIlIiIiKSwmLSZGLzYjRjZGMEY3LSZGLzYjIiIjRjAhIiJGQEY3RjcqKEY1RjcsJkY3RjdGLUY3RjcsKEY9RjcqJkZARjdGLUY3RkFGOkY3RjdGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIkNiNJInRHRipGLiwmKiYjIiRAIiIiJSIiIiksJi0mRik2I0YzRi1GNC0mRik2IyIiI0YtISIiRj1GNEY0KihGMkY0LCZGNEY0RidGNEY0LChGOkY0KiZGPUY0RidGNEY+RjdGNEY0RjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiUvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqJiMiJEAiRiciIiIpLCYtJkYvNiMiIiZGMEY2LSZGLzYjIiIkRjAhIiIiIiNGNkY2KihGNUY2LCZGNkY2Ri1GNkY2LChGPUY2KiZGQkY2Ri1GNkZBRjlGNkY2RjY=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIlNiNJInRHRipGLiwmKiYjIiRAIkYsIiIiKSwmLSZGKTYjIiImRi1GMy0mRik2IyIiJEYtISIiIiIjRjNGMyooRjJGMywmRjNGM0YnRjNGMywoRjpGMyomRj9GM0YnRjNGPkY2RjNGM0Yz</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiYvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqJiMiJEAiIiIlIiIiKSwmLSZGLzYjIiInRjBGNy0mRi82I0Y2RjAhIiIiIiNGN0Y3KihGNUY3LCZGN0Y3Ri1GN0Y3LChGPkY3KiZGQkY3Ri1GN0ZBRjpGN0Y3Rjc=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiImNiNJInRHRipGLiwmKiYjIiRAIiIiJSIiIiksJi0mRik2IyIiJ0YtRjQtJkYpNiNGM0YtISIiIiIjRjRGNCooRjJGNCwmRjRGNEYnRjRGNCwoRjtGNComRj9GNEYnRjRGPkY3RjRGNEY0</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIicvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqJiMiJEAiIiIlIiIiKSwmLSZGLzYjIiIoRjBGNy0mRi82IyIiJkYwISIiIiIjRjdGNyooRjVGNywmRjdGN0YtRjdGNywoRj5GNyomRkNGN0YtRjdGQkY6RjdGN0Y3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiInNiNJInRHRipGLiwmKiYjIiRAIiIiJSIiIiksJi0mRik2IyIiKEYtRjQtJkYpNiMiIiZGLSEiIiIiI0Y0RjQqKEYyRjQsJkY0RjRGJ0Y0RjQsKEY7RjQqJkZARjRGJ0Y0Rj9GN0Y0RjRGNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIigvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqJiMiJEAiIiIlIiIiKSwmLSZGLzYjIiIpRjBGNy0mRi82IyIiJ0YwISIiIiIjRjdGNyooRjVGNywmRjdGN0YtRjdGNywoRj5GNyomRkNGN0YtRjdGQkY6RjdGN0Y3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIoNiNJInRHRipGLiwmKiYjIiRAIiIiJSIiIiksJi0mRik2IyIiKUYtRjQtJkYpNiMiIidGLSEiIiIiI0Y0RjQqKEYyRjQsJkY0RjRGJ0Y0RjQsKEY7RjQqJkZARjRGJ0Y0Rj9GN0Y0RjRGNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIikvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqJiMiJEAiIiIlIiIiKSwmLSZGLzYjIiIqRjBGNy0mRi82IyIiKEYwISIiIiIjRjdGNyooRjVGNywmRjdGN0YtRjdGNywoRj5GNyomRkNGN0YtRjdGQkY6RjdGN0Y3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIpNiNJInRHRipGLiwmKiYjIiRAIiIiJSIiIiksJi0mRik2IyIiKkYtRjQtJkYpNiMiIihGLSEiIiIiI0Y0RjQqKEYyRjQsJkY0RjRGJ0Y0RjQsKEY7RjQqJkZARjRGJ0Y0Rj9GN0Y0RjRGNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiovLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqJiMiJEAiIiIlIiIiKSwmLSZGLzYjIiM1RjBGNy0mRi82IyIiKUYwISIiIiIjRjdGNyooRjVGNywmRjdGN0YtRjdGNywoRj5GNyomRkNGN0YtRjdGQkY6RjdGN0Y3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIqNiNJInRHRipGLiwmKiYjIiRAIiIiJSIiIiksJi0mRik2IyIjNUYtRjQtJkYpNiMiIilGLSEiIiIiI0Y0RjQqKEYyRjQsJkY0RjRGJ0Y0RjQsKEY7RjQqJkZARjRGJ0Y0Rj9GN0Y0RjRGNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzUvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCYqJiMiJEAiIiIlIiIiKSwmKiYjRjYiIiRGNy0mRi82IyIiKkYwRjchIiIqJkY7RjdGLUY3RjciIiNGN0Y3KihGNUY3LCZGN0Y3Ri1GN0Y3LCYqJiNGQ0Y8RjdGPUY3RjcqJkZIRjdGLUY3RkFGN0Y3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM1NiNJInRHRipGLiwmKiYjIiRAIiIiJSIiIiksJiomI0YzIiIkRjQtJkYpNiMiIipGLUY0ISIiKiZGOEY0RidGNEY0IiIjRjRGNCooRjJGNCwmRjRGNEYnRjRGNCwmKiYjRkBGOUY0RjpGNEY0KiZGRUY0RidGNEY+RjRGNA==</Equation></Text-field>
</Output>
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<Group labelreference="L24" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eqs:=seq((eq[j]),j=1..N);</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="L25" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=seq(u[i](t),i=1..N);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiWUc2IjYsLSZJInVHRiQ2IyIiIjYjSSJ0R0YkLSZGKDYjIiIjRistJkYoNiMiIiRGKy0mRig2IyIiJUYrLSZGKDYjIiImRistJkYoNiMiIidGKy0mRig2IyIiKEYrLSZGKDYjIiIpRistJkYoNiMiIipGKy0mRig2IyIjNUYr">NiwtJkkidUc2IjYjIiIiNiNJInRHRiYtJkYlNiMiIiNGKS0mRiU2IyIiJEYpLSZGJTYjIiIlRiktJkYlNiMiIiZGKS0mRiU2IyIiJ0YpLSZGJTYjIiIoRiktJkYlNiMiIilGKS0mRiU2IyIiKkYpLSZGJTYjIiM1Rik=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L26" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ICs:=seq(u[i](0)=rhs(IC),i=1..N);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkSUNzRzYiNiwvLSZJInVHRiQ2IyIiIjYjIiIhRi0vLSZGKTYjIiIjRixGLS8tJkYpNiMiIiRGLEYtLy0mRik2IyIiJUYsRi0vLSZGKTYjIiImRixGLS8tJkYpNiMiIidGLEYtLy0mRik2IyIiKEYsRi0vLSZGKTYjIiIpRixGLS8tJkYpNiMiIipGLEYtLy0mRik2IyIjNUYsRi0=">NiwvLSZJInVHNiI2IyIiIjYjIiIhRisvLSZGJjYjIiIjRipGKy8tJkYmNiMiIiRGKkYrLy0mRiY2IyIiJUYqRisvLSZGJjYjIiImRipGKy8tJkYmNiMiIidGKkYrLy0mRiY2IyIiKEYqRisvLSZGJjYjIiIpRipGKy8tJkYmNiMiIipGKkYrLy0mRiY2IyIjNUYqRis=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L27" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol:=dsolve({eqs,ICs},{Y},type=numeric,output=listprocedure);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 4148 characters]">[encoded data, 4116 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L28" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do U[i]:=subs(sol,u[i](t));od:</Text-field>
</Input>
</Group>
<Group labelreference="L29" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">U[0]:=subs(u[1](t)=U[1],u[2](t)=U[2],u[0](t));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJIlVHNiI2IyIiISIiIg==">IiIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L30" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">U[N+1]:=subs(u[N](t)=U[N],u[N-1](t)=U[N-1],u[N+1](t));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJIlVHNiI2IyIjNiwmKiYjIiIiIiIkRismRiQ2IyIiKkYrISIiKiYjIiIlRixGKyZGJDYjIiM1RitGKw==">LCYqJiMiIiIiIiRGJSZJIlVHNiI2IyIiKkYlISIiKiYjIiIlRiZGJSZGKDYjIiM1RiVGJQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L31" 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](t),t=0..1.0,thickness=3,color=COLOR(HUE,i/(N+2)));od:</Text-field>
</Input>
</Group>
<Group labelreference="L44" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">arw:=arrow(&lt;0.1,1.01&gt;,&lt;0.2,-0.5&gt;,width=[1/600,relative],head_width=[10,relative],head_length=[1/20,relative]):
pt:=textplot([[0.5,0.45,&quot;Follow the arrow:&quot;],seq([0.4,0.4-i*0.05,typeset(u[i],&quot;(t)&quot;)],i=0..2),[0.4,0.25,&quot;...&quot;],[0.41,0.2,typeset(u[N+1],&quot;(t)&quot;)]]):</Text-field>
</Input>
</Group>
<Group labelreference="L32" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display([seq(p[i],i=0..N+1),arw,pt],axes=boxed,title=&quot;Figure Exp. 5.2.3.&quot;,labels=[t,&quot;u&quot;]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">[encoded data, 38328 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L33" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">tf:=1.;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjdGZHNiIkIiIiIiIh">JCIiIiIiIQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L34" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">M:=30;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTUc2IiIjSQ==">IiNJ</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L35" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">T1:=[seq(tf*i/M,i=0..M)];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjVDFHNiI3QSQiIiFGJyQiK0xMTExMISM2JCIrbm1tbW1GKiQiKysrKys1ISM1JCIrTExMTDhGLyQiK25tbW07Ri8kIisrKysrP0YvJCIrTExMTEJGLyQiK25tbW1FRi8kIisrKysrSUYvJEYpRi8kIitubW1tT0YvJCIrKysrK1NGLyQiK0xMTExWRi8kIitubW1tWUYvJCIrKysrK11GLyQiK0xMTExgRi8kIitubW1tY0YvJCIrKysrK2dGLyQiK0xMTExqRi8kRixGLyQiKysrKytxRi8kIitMTExMdEYvJCIrbm1tbXdGLyQiKysrKyshKUYvJCIrTExMTCQpRi8kIitubW1tJylGLyQiKysrKyshKkYvJCIrTExMTCQqRi8kIitubW1tJypGLyRGLiEiKg==">N0EkIiIhRiQkIitMTExMTCEjNiQiK25tbW1tRickIisrKysrNSEjNSQiK0xMTEw4RiwkIitubW1tO0YsJCIrKysrKz9GLCQiK0xMTExCRiwkIitubW1tRUYsJCIrKysrK0lGLCRGJkYsJCIrbm1tbU9GLCQiKysrKytTRiwkIitMTExMVkYsJCIrbm1tbVlGLCQiKysrKytdRiwkIitMTExMYEYsJCIrbm1tbWNGLCQiKysrKytnRiwkIitMTExMakYsJEYpRiwkIisrKysrcUYsJCIrTExMTHRGLCQiK25tbW13RiwkIisrKysrISlGLCQiK0xMTEwkKUYsJCIrbm1tbScpRiwkIisrKysrISpGLCQiK0xMTEwkKkYsJCIrbm1tbScqRiwkRishIio=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L36" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">PP:=matrix(N+2,M+1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjUFBHNiItSSZhcnJheUclKnByb3RlY3RlZEc2JTsiIiIiIzc7RioiI0o3Ig==">PTYiNiQ7IiIiIiM3O0YmIiNKRVxbbCE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L37" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N+2 do PP[i,1]:=evalf(subs(x=(i-1)*h,rhs(IC)));od:</Text-field>
</Input>
</Group>
<Group labelreference="L38" 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 M+1 do PP[i,j]:=evalf(subs(t=T1[j],U[i-1](t)));od;od:</Text-field>
</Input>
</Group>
<Group labelreference="L39" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plotdata := [seq([ seq([(i-1)*h,T1[j],PP[i,j]], i=1..N+2)], j=1..M+1)]:</Text-field>
</Input>
</Group>
<Group labelreference="L40" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">surfdata(plotdata,axes=boxed,title=&quot;Figure Exp. 5.2.4.&quot;,labels=[x,t,u],orientation=[-45,60]);</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, 17856 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L43" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>