Can someone please solve this heat equations with details on how to arrive at the solution.?
Solve the heat equation:
u_t = 3*u_xx
with the following I.C/B.C:
u(0,t) = u(L,t) = 0
u(x,0)=L*[1-cos(2*Pi*x/L)]© BrainMass Inc. brainmass.com December 19, 2018, 9:28 pm ad1c9bdddf
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The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word XP Format, while the other ...
The solution shows how to apply separation of variables to solve the heat equation on a finite rod.
The process demonstrates how to use Fourier expansion to obtain a solution that satisfies the initial and boundary conditions.