Theory and Modern Applications
Table 2 The absolute errors of the presented algorithm I (\(E_{I}\)) and algorithm II (\(E_{II}\)) for (31) with \(\alpha =0.2\), \(\nu =3.45\)
From: High order algorithms for numerical solution of fractional differential equations
| Â | Algorithm II | Algorithm I | ||||
|---|---|---|---|---|---|---|
h | \(E_{II}\) | Ration | CPU time(s) | \(E_{I}\) | Ration | CPU time(s) |
1/5 | 6.8126e-06 | – | 0.0021 | 5.9853e-05 | – | 0.0012 |
1/10 | 2.7965e-07 | 4.61 | 0.0032 | 3.9525e-06 | 3.92 | 0.0021 |
1/20 | 9.9336e-09 | 4.82 | 0.0065 | 2.6190e-07 | 3.92 | 0.0051 |
1/40 | 3.3460e-10 | 4.89 | 0.0195 | 1.7182e-08 | 3.93 | 0.0171 |