Use the results of Exercise 17 to approximate the solution to du d 2 u r = 2, 0 < x < 1

Chapter 12, Problem 18

(choose chapter or problem)

Use the results of Exercise 17 to approximate the solution to du d 2 u r = 2, 0 < x < 1, 0 < /; dt dx2 u(0,t) = u(l,t) = 0, 0 < t; u(x, 0) = sinwx + x(l x), with h 0.1 and k 0.01. Compare your answer at r = 0.25 to the actual solution u{x,t) e - " ' sinjrx +x(l x)

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