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<Text-field style="Heading 3" italic="false" layout="Heading 3"><Font italic="false">Example 3.2.10  Blasius Equation - Infinite Domains</Font></Text-field>
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<Text-field style="Text" layout="Normal">The Blasius problem is defined by:<Font superscript="true">[22][12]</Font></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred">                                           f<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">with the boundary conditions</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred">                                                   f(0)=0                                                     (3.3.25)</Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred">                                                <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal">and</Text-field>
<Text-field style="Text" layout="Normal">  </Text-field>
<Text-field style="Text" layout="Normal">                                                                                                                                           <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzZVLUkmbWZyYWNHRiQ2KC1GIzYkLUkjbWlHRiQ2JVEjZGZGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRjctRiM2Ji1JI21vR0YkNi1RMCZEaWZmZXJlbnRpYWxEO0YnRjcvJSZmZW5jZUdRJnVuc2V0RicvJSpzZXBhcmF0b3JHRkIvJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUS1GMTYlUScmIzk1MTtGJ0Y0RjctRjE2I1EhRidGNy8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGaW4vJSliZXZlbGxlZEdGNi1JKG1mZW5jZWRHRiQ2JC1GIzYkLUY9Ni1RKCZpbmZpbjtGJ0Y3L0ZBRjYvRkRGNi9GRkY2L0ZIRjYvRkpGNi9GTEY2L0ZORjZGT0ZSRjdGNy1GPTYtUSI9RidGN0Zmb0Znb0Zob0Zpb0Zqb0ZbcEZccC9GUFEsMC4yNzc3Nzc4ZW1GJy9GU0ZhcC1JI21uR0YkNiRRIjBGJ0Y3LUY9Ni1RIn5GJ0Y3RmZvRmdvRmhvRmlvRmpvRltwRlxwRk9GUkZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncEZncC1GX282JC1GIzYlLUZkcDYkUSQzLjJGJ0Y3LUZkcDYkUSQuMjdGJ0Y3RjdGN0Y3</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">This boundary value problem is different from other boundary value problems discussed in this chapter because equation (3.2.24) is a third order ODE with three boundary conditions.  In addition, the domain is semi-infinite.  This boundary value problem is solved in Maple below by replacing \342\210\236 in equation (3.2.27) by 10.</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart:</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(plots):</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq:=f(eta)*diff(f(eta),eta$2)+2*diff(f(eta),eta$3);</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">BCs:=(f(0),D(f)(0),D(f)(10)-1);</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol:=dsolve({eq,BCs},{f(eta)},type=numeric);</Text-field>
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<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="L12" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">The solution for \316\267 = 0 and \316\267 = 10 are obtained as:</Font></Text-field>
</Input>
</Group>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol(0);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="NyYvSSRldGFHNiIkIiIhRicvLUkiZkdGJTYjRiRGJi8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkRilGJEYmLy1GLjYkRiktSSIkR0YvNiRGJCIiIyQiM1IpKWViVVFkP0whIz0=">NyYvSSRldGFHNiIkIiIhRicvLUkiZkdGJTYjRiRGJi8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkRilGJEYmLy1GLjYkRi1GJCQiM1IpKWViVVFkP0whIz0=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol(10);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="NyYvSSRldGFHNiIkIiM1IiIhLy1JImZHRiU2I0YkJCIzdSMqNEpfREB6IykhIzwvLUklZGlmZkclKnByb3RlY3RlZEc2JEYqRiQkIiIiRigvLUYyNiRGKi1JIiRHRjM2JEYkIiIjJCIzTXV5PCttIVwtKSEjRQ==">NyYvSSRldGFHNiIkIiM1IiIhLy1JImZHRiU2I0YkJCIzdSMqNEpfREB6IykhIzwvLUklZGlmZkclKnByb3RlY3RlZEc2JEYqRiQkIiIiRigvLUYyNiRGMUYkJCIzTXV5PCttIVwtKSEjRQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The solution obtained is plotted below:</Text-field>
</Input>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">odeplot(sol,[eta,f(eta)],0..10,thickness=4,color=red,title=&quot;Figure Exp. 3.2.19.&quot;,axes=boxed);</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="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">odeplot(sol,[eta,diff(f(eta),eta)],0..10,thickness=4,color=green,title=&quot;Figure Exp. 3.2.20.&quot;,axes=boxed);</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>
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<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>