Theory and Modern Applications
Table 4 The numerical results of the HSP, HEG and HMEG methods at \(\alpha =0.7\) for Example 5.2
\(h^{-1}\) | Method | CPU time (sec) | Ite | \(\mathit{Error}_{\infty}\) | Total operations |
|---|---|---|---|---|---|
6 | HSP | 0.109 | 24 | 2.4056E−02 | 12,600 |
HEG | 0.062 | 16 | 2.4069E−02 | 7888 | |
HMEG | 0.015 | 2 | 8.8093E−02 | 609 | |
22 | HSP | 14.187 | 219 | 4.7123E−03 | 2,028,159 |
HEG | 7.796 | 123 | 4.9438E−03 | 1,040,703 | |
HMEG | 0.671 | 38 | 9.6396E−03 | 86,961 | |
38 | HSP | 102.313 | 540 | 2.8059E−03 | 15,524,460 |
HEG | 60.765 | 307 | 3.4906E−03 | 8,030,199 | |
HMEG | 5.156 | 96 | 5.5162E−03 | 675,129 | |
54 | HSP | 379.203 | 944 | 1.1587E−03 | 55,685,616 |
HEG | 215.391 | 545 | 2.5382E−03 | 29,201,645 | |
HMEG | 19.765 | 174 | 4.3268E−03 | 2,514,897 |