Theory and Modern Applications
Table 3 Absolute errors of the present presented algorithm I (\(E_{I}\)), algorithm II (\(E_{II}\)), and the numerical methods of [46], with \(\alpha = 0.3\) for (32)
From: High order algorithms for numerical solution of fractional differential equations
| Â | Algorithm II | Algorithm I | Method of [46] | ||||
|---|---|---|---|---|---|---|---|
h | \(E_{II}\) | Ratio | CPU | \(E_{I}\) | Ratio | CPU | E |
1/5 | 2.0268e-05 | – | 0.0020 | 3.9338e-04 | – | 0.0013 | – |
1/10 | 8.8773e-07 | 4.51 | 0.0029 | 2.6193e-05 | 3.91 | 0.0022 | 1.4571e-04 |
1/20 | 3.0045e-08 | 4.88 | 0.0064 | 1.7205e-06 | 3.93 | 0.0057 | 2.3118e-05 |
1/40 | 1.0533e-09 | 4.83 | 0.0205 | 1.1167e-07 | 3.95 | 0.0176 | 3.6127e-06 |