Consider Laplaces equation on a square 0 x 1, 0 y 1 with u = 0 on three sides and u = 1
Chapter 6, Problem 6.6.8(choose chapter or problem)
Consider Laplaces equation on a square 0 x 1, 0 y 1 with u = 0 on three sides and u = 1 on the fourth. (a) Solve using Jacobi iteration (let x = y = 1 10 ). (b) Solve using GaussSeidel iteration (let x = y = 1 10 ). (c) Solve using S-0-R iteration [let x = y = 1 10 and = 1 2 (1 /10)]. (d) Solve by separation of variables. Evaluate numerically the first 10 or 20 terms. (e) Compare as many of the previous parts as you did.
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