Approximating Fixed Points and the Solution of a Nonlinear Fractional Difference Equation via an Iterative Method

Table 3

A comparison table for the speed of convergence of iterative method (8) for different initial points.

Iter.
1	0.500000	1.500000	2.000000	4.000000	15.000000	25.000000
2	0.981067	1.069972	1.217159	2.537170	13.132886	23.087463
3	0.998508	1.006144	1.022586	1.474128	11.282689	21.180400
⋮	⋮	⋮	⋮	⋮	⋮	⋮
7	1.000000	1.000000	1.000001	1.000037	4.254545	13.633143
8	1.000000	1.000000	1.000000	1.000003	2.752868	11.777916
9	1.000000	1.000000	1.000000	1.000000	1.603111	9.943726
⋮	⋮	⋮	⋮	⋮	⋮	⋮
15	1.000000	1.000000	1.000000	1.000000	1.000000	1.166649
⋮	⋮	⋮	⋮	⋮	⋮	⋮
20	1.000000	1.000000	1.000000	1.000000	1.000000	1.000001
21	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000