Solve by hand the problem ut =uxx in the interval [0, 1]

Chapter 8, Problem 4

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Solve by hand the problem ut =uxx in the interval [0, 1] with ux =0 at both ends. Use the forward scheme (2) for the PDE, and the scheme (14) for the boundary conditions. Assume x = 1 5, t = 1 100, and start withtheinitialdata:0 0 64 0 0 0.Computeforfourtimesteps.

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