The results of the preceding exercise and the discussion in the text suggest the

Chapter 10, Problem T2

(choose chapter or problem)

The results of the preceding exercise and the discussion in the text suggest the following algorithm for solving for the equilibrium temperature in the square region given the boundary conditions 1. Choose a value for n, and then choose an initial guess, say 2. For each value of compute using where is as defined in Exercise T1 . Then adjust by replacing all edge entries by the initial edge entries in . [Note: The edge entries of a matrix are the entries in the first and last columns and first and last rows.] 3. Continue this process until is approximately the zero matrix. This suggests that Use a computer and this algorithm to solve for given that Choose and compute up to . The exact solution can be expressed as Use a computer to compute for i, , 1, 2, 3, 4, 5, 6, and then compare your results to the values of in .