Solve u t u xx (0 x 1, t 0), u(x, 0) x 2 (1 x), u(0, t) u(1, t) 0 by CrankNicolson with h 0 2, k 0 04, 5 time steps ...

ux t sqrt 2 x2 2 uxx h kt u0 t 0 Thus the solution is 16739743422943891 and the ...

Solve u t = u xx (0 x 1, t 0), u(x, 0) =

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Solve u_t = u_xx (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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Advanced Engineering Mathematics

ISBN: 978-0470458365

10th edition

Authors: Erwin Kreyszig

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Question Posted: Sep 29, 2022 02:06 AM

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Solve u t = u xx (0 x 1, t 0), u(x, 0) =

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Advanced Engineering Mathematics

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