ABSTRACT
Table 9.4 for the three grid points along the horizontal grid line y = 10 cm, along with the maximum value of II1Ti) = II1Ti )max in the entire grid. The solution has converged to five significant figures on the 20th iteration. The maximum residual continues to decrease as the iterative process continues, as illustrated in Figure 9.10, but no changes occur in the solution in the first five significant digits. The converged (to 13 significant digits) solution is presented in the third line from the bottom of Table 9.4. These are the same values obtained by the Gauss-Seidel method in Example 9.1. The exact solution is presented in the second line from the bottom of the table. The difference between the converged solution of the system equation and the exact solution of the partial differential equation, which is the truncation error of the finite difference solution, is presented in the last line of Table 9.4.
