Answer: Use Algorithm 12.1 to approximate the solution to the elliptic partial
Chapter 12, Problem 2(choose chapter or problem)
Use Algorithm 12.1 to approximate the solution to the elliptic partial differential equation 2u x2 + 2u y2 = 0, 1 < x < 2, 0 < y < 1; u(x, 0) = 2 ln x, u(x, 1) = ln(x2 + 1), 1 x 2; u(1, y) = ln(y2 + 1), u(2, y) = ln(y2 + 4), 0 y 1. Use h = k = 1 3 , and compare the results to the actual solution u(x, y) = ln(x2 + y2).
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