Chapter 21, PROBLEM SET 21.4 #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 = sin1/3?x on the upper edge, 0 on the other edges, 10 steps.

PROBLEM SET 21.1:

PROBLEM SET 21.2:

PROBLEM SET 21.3:

PROBLEM SET 21.4:

PROBLEM SET 21.6: