Question: 4. The one-dimensional heat conduction problem can be expressed by the following differential equation: d2T fc^r + !2 = 0, 0

4. The one-dimensional heat conduction problem can be expressed by the following differential equation:

d2T fc^r + !2 = 0, 0

ditions are given at both ends: T(0) = T(L) = 0. Calculate the approximate temperature T(x)

using Galerkin method. Compare the approximate solution with the exact one.

Hint: Start with assumed solution in the following form: T(x) = Co + c\x + C2X2, and then make it to satisfy the two essential boundary conditions.

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