Convergence Analysis of an Iterative Method for Nonlinear Partial Differential Equations

Table 1

Numbers of iterations and 𝜂 values for Example 19.

𝜔	0.2	0.25	0.3	0.4	0.5	0.6
Number of iterations	18330	14745	12268	9046	7024	5626
‖𝐵‖	0.9999	0.9998	0.9998	0.9997	0.9997	0.9996
𝜂	0.9999	0.9999	0.9999	0.9999	0.9998	0.9998
𝜔	0.8	1.0	1.2	1.6	1.8	1.9
Number of iterations	3800	2645	1837	751	342	127
‖𝐵‖	0.9994	0.9992	0.9990	0.9985	0.9982	0.9980
𝜂	0.9997	0.9996	0.9995	0.9993	0.9992	0.9991
𝜔	1.92	1.95	1.96	1.97	1.98	1.99
Number of iterations	151	236	295	381	535	940
‖𝐵‖	0.9979	0.9979	0.9979	0.9978	0.9978	0.9978
𝜂	0.9991	0.9990	0.9990	0.9990	0.9990	0.9990