Theory and Modern Applications
Table 3 \(\pmb{H_{1}}\) -errors and computational orders obtained for Example 2 with \(\pmb{N=24}\)
τ | α = 0.2 | α = 0.4 | α = 0.6 | α = 0.8 | ||||
|---|---|---|---|---|---|---|---|---|
Error | Order | Error | Order | Error | Order | Error | Order | |
1/10 | 8.9564e–3 | /. | 4.4841e–2 | /. | 5.2904e–3 | /. | 3.0702e–2 | /. |
1/20 | 3.0839e–3 | 1.5382 | 1.9459e–2 | 1.2044 | 1.4940e–3 | 1.8242 | 1.1640e–2 | 1.3992 |
1/40 | 1.0420e–3 | 1.5653 | 8.3812e–3 | 1.2152 | 4.2433e–4 | 1.8159 | 4.4051e–3 | 1.4018 |
1/80 | 3.4795e–4 | 1.5824 | 3.6017e–3 | 1.2185 | 1.2097e–4 | 1.8106 | 1.6669e–3 | 1.4020 |
1/160 | 1.1530e–4 | 1.5935 | 1.5483e–3 | 1.2180 | 3.4569e–5 | 1.8071 | 6.3092e–4 | 1.4016 |
1/320 | 3.8019e–5 | 1.6006 | 6.6648e–4 | 1.2160 | 9.8950e–6 | 1.8047 | 2.3889e–4 | 1.4011 |
1/640 | 1.2496e–5 | 1.6052 | 2.8740e–4 | 1.2135 | 2.8354e–6 | 1.8031 | 9.0477e–5 | 1.4007 |