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<Input>
<Text-field style="Heading 3" italic="false" layout="Heading 3"><Font italic="false">Example 3.2.6  Diffusion with Second Order Reaction</Font></Text-field>
</Input>
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<Group labelreference="L16" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Example 3.2.1 is solved here using Maple's 'dsolve' command.  The boundary condition at the surface, x = 1 is taken as:</Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="Text" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
<Text-field style="Text" layout="Normal">Example 3.2.1 is solved below in Maple with a modified boundary condition:</Text-field>
</Input>
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<Group labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart:</Text-field>
</Input>
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<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(plots):</Text-field>
</Input>
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<Group labelreference="L18" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Enter the governing equation:</Text-field>
</Input>
</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq:=diff(c(x),x$2)=Phi^2*c(x)^2;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjRXFHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JImNHRiQ2I0kieEdGJC1JIiRHRig2JEYtIiIjKiYpSSRQaGlHRiRGMSIiIilGKkYxRjU=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JImNHNiI2I0kieEdGK0YtRi0qJilJJFBoaUdGKyIiIyIiIilGKUYxRjI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The value of the parameter is substituted here:</Text-field>
</Input>
</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq:=subs(Phi=1,Eq);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjZXFHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JImNHRiQ2I0kieEdGJC1JIiRHRig2JEYtIiIjKiQpRipGMSIiIg==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JImNHNiI2I0kieEdGK0YtRi0qJClGKSIiIyIiIg==</Equation></Text-field>
</Output>
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<Group labelreference="L20" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The boundary conditions are entered here:</Text-field>
</Input>
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<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">BCs:=(D(c)(0),D(c)(1)=100*(1-c(1)));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkQkNzRzYiNiQtLUkiREc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjSSJjR0YkNiMiIiEvLUYnNiMiIiIsJiIkKyJGMyomRjVGMy1GLUYyRjMhIiI=">NiQtLUkiREc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSJjR0YpNiMiIiEvLUYkNiMiIiIsJiIkKyJGMSomRjNGMS1GK0YwRjEhIiI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The numerical solution is obtained here:</Text-field>
</Input>
</Group>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol:=dsolve({eq,BCs},{c(x)},numeric);</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>
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<Group labelreference="L22" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The concentration profile obtained is plotted here:</Text-field>
</Input>
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<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">odeplot(sol,[x,c(x)],0..1,thickness=4,title=&quot;Figure Exp. 3.2.10.&quot;,axes=boxed,color=gold);</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">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</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L23" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Next, the problem is solved for a higher value of \316\246:</Font></Text-field>
</Input>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq:=subs(Phi=10,Eq);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjZXFHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JImNHRiQ2I0kieEdGJC1JIiRHRig2JEYtIiIjLCQqJiIkKyIiIiIpRipGMUY1RjU=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JImNHNiI2I0kieEdGK0YtRi0sJComIiQrIiIiIilGKSIiI0YxRjE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">BCs:=(D(c)(0),D(c)(1)=100*(1-c(1)));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkQkNzRzYiNiQtLUkiREc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjSSJjR0YkNiMiIiEvLUYnNiMiIiIsJiIkKyJGMyomRjVGMy1GLUYyRjMhIiI=">NiQtLUkiREc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSJjR0YpNiMiIiEvLUYkNiMiIiIsJiIkKyJGMSomRjNGMS1GK0YwRjEhIiI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol:=dsolve({eq,BCs},{c(x)},numeric);</Text-field>
</Input>
<Output>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">odeplot(sol,[x,c(x)],0..1,thickness=4,title=&quot;Figure Exp. 3.2.11.&quot;,axes=boxed,color=brown);</Text-field>
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<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>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">We observe that as \316\246 increases, the profile becomes steeper and the time taken to solve the problem also increases.</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
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