Research Article

Convergence Analysis of an Iterative Method for Nonlinear Partial Differential Equations

Table 2

Numbers of iterations and values for Example 20.

0.05 0.1 0.2 0.3

Number of iterations 28503 15706 8344 5612
0.9999 0.9997 0.9995 0.9992
0.9999 0.9998 0.9996 0.9994

0.4 0.5 0.8 1.0

Number of iterations 4155 3239 1775 1249
0.9989 0.9986 0.9976 0.9969
0.9992 0.9989 0.9982 0.9976

1.2 1.6 1.8 1.9

Number of iterations 881 386 200 104
0.9961 0.9943 0.9933 0.9928
0.9970 0.9955 0.9947 0.9943

1.92 1.95 1.97 1.99

Number of iterations 94 129 185 307
0.9927 0.9925 0.9924 0.9923
0.9942 0.9942 0.9942 0.9944