Consider the boundary-value problem (a) Use the methods of Chapter 12 to verify that the

Chapter 15, Problem 2

(choose chapter or problem)

Consider the boundary-value problem (a) Use the methods of Chapter 12 to verify that the solution of the problem is u(x, t) sin px cos pt. (b) Use the method of this section to approximate the solution of the problem without the aid of a computer program. Use n 4 and m 5. (c) Compute the absolute error at each interior grid point.

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