e) u_{t}(x, t) - 4 pi^ 2 u xx (x,t)=0,0<x<4,0<t u(0, t) = 0 u(pi, t) = 0 t > 0
mu(x, 0) = sin pi/4 * x(1 + 2cos pi/4 * x), 0 <= x <= 4 Take h = 0.2 k = 0.04 and compare your results to the actual solution π u(x,t) = e sinx+e/4sinx at t = 0.4 -1/4 π 4 2
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