Approximate the solution to the wave equation d 2 u d 2 u = 0. 0 < x < tt, 0 < ; dt2 dx2
Chapter 12, Problem 3(choose chapter or problem)
Approximate the solution to the wave equation d 2 u d 2 u = 0. 0 < x < tt, 0 < ?; dt2 dx2 m(0, f) = u(7T, t) = 0. 0 < r, m(x, 0) = sinx, 0 < x < n, du (x,0) = 0, 0 < x < n, dt using the Finite-Difference Algorithm with h tt/IO and k 0.05, with h re/20 and k 0.1, and then with h = 7r/20 and k = 0.05. Compare your results at f = 0.5 to the actual solution m(x, t) costsinx.
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