Table 3 Numerical comparison of iteration processes
From: Convergence and stability of an iteration process and solution of a fractional differential equation
Iter. | Mann | Ishikawa | S | Picard-S | Noor | JF |
|---|---|---|---|---|---|---|
1 | 0.110000 | 0.110000 | 0.110000 | 0.110000 | 0.110000 | 0.110000 |
2 | 1.370000 | 1.461000 | 1.881000 | 1.986778 | 1.466561 | 1.999635 |
3 | 1.790000 | 1.846285 | 1.992507 | 1.999907 | 1.849441 | 2.000000 |
4 | 1.930000 | 1.956163 | 1.999528 | 1.999999 | 1.957506 | 2.000000 |
5 | 1.976667 | 1.987498 | 1.999970 | 2.000000 | 1.988006 | 2.000000 |
6 | 1.992222 | 1.996435 | 1.999998 | 2.000000 | 1.996615 | 2.000000 |
7 | 1.997407 | 1.998983 | 2.000000 | 2.000000 | 1.999045 | 2.000000 |
⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ |
13 | 1.999996 | 1.999999 | 2.000000 | 2.000000 | 2.000000 | 2.000000 |
14 | 1.999999 | 2.000000 | 2.000000 | 2.000000 | 2.000000 | 2.000000 |
15 | 2.000000 | 2.000000 | 2.000000 | 2.000000 | 2.000000 | 2.000000 |