Table 2 Numerical outcomes of Example 6.2
Case I | Case II | ||||
|---|---|---|---|---|---|
n | \(u_{1}=(-2,1,2)\) | n | \(u_{1}=(0,1,2)\) | ||
\((u_{n}^{1},u_{n}^{2},u_{n}^{3})\) | \(\|u_{n+1}-u_{n}\|_{2}\) | \((u_{n}^{1},u_{n}^{2},u_{n}^{3})\) | \(\|u_{n+1}-u_{n}\|_{2}\) | ||
1 | (−2.0000,1.0000,2.0000) | 1.6559 | 1 | (0.0000,1.0000,2.0000) | 1.5677 |
40 | (−0.0363,0.7380,0.2755) | 0.0011 | 40 | (−0.0177,0.4719,0.5044) | 0.0008 |
80 | (−0.0181,0.7440,0.2627) | 0.0003 | 80 | (−0.0088,0.4856,0.5026) | 0.0002 |
120 | (−0.0120,0.7460,0.2585) | 0.0001 | 120 | (−0.0058,0.4902,0.5019) | 9.2381e − 05 |
160 | (−0.0090,0.7467,0.2564) | 7.1243e − 05 | 160 | (−0.0044,0.4926,0.5015) | 5.2486e − 05 |
200 | (−0.0072,0.7476,0.2551) | 4.5631e − 05 | 200 | (−0.0035,0.4940,0.5012) | 3.3849e − 05 |
240 | (−0.0060,0.7480,0.2542) | 3.1705e − 05 | 240 | (−0.0029,0.4950,0.5011) | 2.3652e − 05 |
280 | (−0.0052,0.7483,0.2536) | 2.3302e − 05 | 280 | (−0.0025,0.4957,0.5009) | 1.7468e − 05 |