Table 2 Computational results of Case 1 for Example 5.2
n | \(x_{n}(t)\) | \(y_{n}(t)\) | \(\|x_{n+1}-x_{n} \|\) | \(\|y_{n+1}-y_{n}\|\) |
|---|---|---|---|---|
1 | 0.2t | 0.8t | – | – |
2 | 0.11908t | 0.43917t | 0.046718 | 0.20833 |
3 | 0.073412t | 0.26038t | 0.026368 | 0.10322 |
4 | 0.045862t | 0.15731t | 0.015906 | 0.05951 |
5 | 0.028847t | 0.095819t | 0.0098239 | 0.035499 |
⋮ | ⋮ | ⋮ | ⋮ | ⋮ |
18 | 8.1465⋅10−5t | 0.00017912t | 2.6556⋅10−5 | 6.3657⋅10−5 |
19 | 5.2082⋅10−5t | 0.0001109t | 1.6964⋅10−5 | 3.9387⋅10−5 |
20 | 3.3305⋅10−5t | 6.8675⋅10−5t | 1.0841⋅10−5 | 2.4377⋅10−5 |
21 | 2.1303⋅10−5t | 4.2536⋅10−5t | 6.9296⋅10−6 | 1.5091⋅10−5 |
22 | 1.3629⋅10−5t | 2.6351⋅10−5t | 4.4307⋅10−6 | 9.3446⋅10−6 |