Question: Solve the heat problem (1)(3) by CrankNicolson for 0 t 0.20 with h = 0.2 and k = 0.04 when f(x) = x

Solve the heat problem (1)–(3) by Crank–Nicolson for 0 ≤ t ≤ 0.20 with h = 0.2 and k = 0.04 when f(x) = x if 0 ≤ x ≤ 1/2, f(x) = 1 - x if 1/2 ≤ x ≤ 1. Compare with the exact values for t = 0.20 obtained from the series (2 terms).

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