One Dimensional Heat Equation on a Finite Rod
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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)]
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Solution Summary
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.
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