(a) In of Exercises 12.6 you solved a potential problem

Chapter 15, Problem 15.1.7

(choose chapter or problem)

(a) In of Exercises 12.6 you solved a potential problem using a special form of Poissons equation . Show that the difference equation replacement for Poissons equation is (b) Use the result in part (a) to approximate the solution of the Poisson equation at the interior points of the region in Figure 15.1.7. The mesh size is , u 1 at every point along ABCD, and u 0 at every point along DEFGA. Use symmetry and, if necessary, Gauss-Seidel iteration.

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