Theory and Modern Applications
Table 4 \(\pmb{H_{1}}\) -errors and computational orders obtained for Example 2 with \(\pmb{\tau=\frac{1}{20{,}000}}\)
N | α = 0.1 | α = 0.2 | α = 0.6 | α = 0.7 | ||||
|---|---|---|---|---|---|---|---|---|
Error | Order | Error | Order | Error | Order | Error | Order | |
2 | 2.2177e–1 | /. | 2.0246e–1 | /. | 1.2001e–1 | /. | 9.9513e–2 | /. |
4 | 2.4817e–2 | 3.1597 | 2.4122e–2 | 3.0692 | 2.0552e–2 | 2.5458 | 1.9405e–2 | 2.3584 |
6 | 1.5946e–3 | 6.7698 | 1.5740e–3 | 6.7317 | 1.4611e–3 | 6.5204 | 1.4240e–3 | 6.4422 |
8 | 7.8627e–5 | 10.4618 | 7.8082e–5 | 10.4408 | 7.5048e–5 | 10.3197 | 7.4070e–5 | 10.2759 |
10 | 3.2262e–6 | 14.3111 | 3.2127e–6 | 14.2987 | 3.1351e–6 | 14.2306 | 3.1112e–6 | 14.2062 |
12 | 1.1496e–7 | 18.2889 | 1.2356e–7 | 17.8703 | 1.1173e–7 | 18.2881 | 1.2943e–7 | 17.4396 |