Table 1 Numerical outcomes of Example 6.1
Case I | Case II | ||||
|---|---|---|---|---|---|
No. of iterat. | \(x_{1}=-0.4\) | No. of iterat. | \(u_{1}=0.5\) | ||
\(x_{n}\) | \(\|x_{n+1}-x_{n}\|\) | \(u_{n}\) | \(\|u_{n+1}-u_{n}\| \) | ||
1 | −0.4000 | 0.2698 | 1 | 0.5000 | 0.2767 |
4 | −0.0117 | 0.0096 | 4 | 0.0349 | 0.0217 |
8 | 0.0019 | 0.0001 | 8 | 0.0007 | 0.0004 |
12 | 0.0013 | 0.0001 | 12 | 0.0000 | 7.4623e − 06 |
16 | 0.0010 | 6.0789e − 05 | 16 | 0.0000 | 1.2479e − 07 |
20 | 0.0007 | 3.8738e − 05 | 20 | 0.0000 | 2.0360e − 09 |