Apply the ADI method to the Dirichlet problem in Prob. 9, using the grid in Fig. 456,

Question:

Apply the ADI method to the Dirichlet problem in Prob. 9, using the grid in Fig. 456, as before and starting values zero.

3 P, 12 P22 P, P. 21 11 2 3. 2.

Data from Prob. 9

For the grid in Fig. 456 compute the potential at the four internal points by Gauss and by 5 Gauss€“Seidel steps with starting values 100, 100, 100, 100 (showing the details of your work) if the boundary values on the edges are:

u = sin1/3Ï€x on the upper edge, 0 on the other edges, 10 steps.

3 P12 P22 2 P11 P. 21 2 3.

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