Solve u t = u xx (0 x 1, t 0), u(x, 0) =
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Solve ut = uxx (0 ≤ x ≤ 1, t ≥ 0),
u(x, 0) = x2(1 - x), u(0, t) = u(1, t) = 0 by Crank–Nicolson with h = 0.2, k = 0.04, 5 time steps.
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ux t sqrt 2 x2 2 uxx h kt u0 t 0 Thus the solution is 16739743422943891 and the ...View the full answer
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