Solve uxx +uyy =0 in the unit square{0 x 1,0 y 1}with the
Chapter 8, Problem 7(choose chapter or problem)
Solve uxx +uyy =0 in the unit square{0 x 1,0 y 1}with the boundaryconditions:u(x,0)=u(0, y)=0, u(x,1)= x, u(1, y)= y. Use x = y = 1 4, so that there are nine interior points for the scheme (2). (a) UsetwostepsofJacobiiteration,withtheinitialguessthatthevalue at each of the nine points equals 1. (b) UsetwostepsofGaussSeideliteration,withthesameinitialguess. (c) Compare parts (a) and (b) and the exact solution.
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