Solve the onedimensional heat conduction problem 6 using the RayleighRitz method For the heat conduction problem, the total potential can be defined as Use the approximate solution ( tilde T (x) T 1 phi 1 (x) T 2 phi 2 (x) T 3 phi 3 (x) ), where the trial functions are given in eq (2 37) with (N D ...

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Solve the onedimensional heat conduction problem 6 using the RayleighRitz method. For the heat conduction problem, the

Question:

Solve the onedimensional heat conduction problem 6 using the RayleighRitz method. For the heat conduction problem, the total potential can be defined as

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Use the approximate solution $\tilde{T}(x)=T_{1} \phi_{1}(x)+T_{2} \phi_{2}(x)+T_{3} \phi_{3}(x)$, where the trial functions are given in eq. (2.37) with $N_{D}=3$ and $x_{1}=0, x_{2}=L / 2$, and $x_{3}=L$. Compare the approximate temperature with the exact one by plotting them on a graph.

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