Theory and Modern Applications
Table 1 \(\pmb{H_{1}}\) -errors and convergence orders obtained for Example 1 with \(\pmb{N=24}\)
τ | α = 0.1 | α = 0.5 | α = 0.9 | |||
|---|---|---|---|---|---|---|
Error | Order | Error | Order | Error | Order | |
1/10 | 3.9589e–4 | /. | 3.0103e–3 | /. | 2.5966e–2 | /. |
1/20 | 1.0880e–4 | 1.8634 | 1.0807e–3 | 1.4780 | 1.0944e–2 | 1.2466 |
1/40 | 3.0137e–5 | 1.8521 | 3.9389e–4 | 1.4560 | 4.8585e–3 | 1.1715 |
1/80 | 8.4082e–6 | 1.8417 | 1.4267e–4 | 1.4652 | 2.2122e–3 | 1.1351 |
1/160 | 2.3492e–6 | 1.8397 | 5.1324e–5 | 1.4749 | 1.0199e–3 | 1.1171 |
1/320 | 6.5523e–7 | 1.8421 | 1.8371e–5 | 1.4822 | 4.7307e–4 | 1.1083 |
1/640 | 1.8224e–7 | 1.8462 | 6.5518e–6 | 1.4875 | 2.2009e–4 | 1.1040 |