In a laterally insulated bar of length 1 let the initial temperature be f(x) = x if

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In a laterally insulated bar of length 1 let the initial temperature be f(x) = x if 0 ≤ x < 0.5, f(x) = 1 -x if 0.5 ≤ x ≤ 1. Let (1) and (3) hold. Apply the explicit method with h = 0.2, k = 0.01, 5 steps. Expect the solution to satisfy u(x, t) = u(1 - x, t) for all t?

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