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    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)]

    © BrainMass Inc. brainmass.com October 9, 2019, 5:33 pm ad1c9bdddf
    https://brainmass.com/math/fourier-analysis/one-dimensional-heat-equation-finite-rod-61055

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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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