Consider the heat equation on the interval (0, 1) Ut = ¡Uxx, u(0, t) = 0, u(1, t) = 0, u(x, 0) = cos(((x − 1/2)). π² = Use the forward difference method with a grid spacing of h approximate the solution to this problem at time t = 0.4. 0.1 and a time step of k = 0.04 to

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