Theory and Modern Applications
Table 8 Maximum absolute error for \(\rho =1\) and for different values of m and α
From: Green–Haar wavelets method for generalized fractional differential equations
α | m = 16 | m = 32 | m = 64 | m = 128 | m = 256 |
|---|---|---|---|---|---|
1.1 | 4.35855 × 10−2 | 2.64920 × 10−2 | 1.49614 × 10−2 | 7.70796 × 10−3 | 3.78128 × 10−3 |
1.2 | 3.24244 × 10−2 | 1.83863 × 10−2 | 9.56595 × 10−3 | 4.55750 × 10−3 | 2.07502 × 10−3 |
1.3 | 2.36366 × 10−2 | 1.24713 × 10−2 | 5.98615 × 10−3 | 2.64235 × 10−3 | 1.11818 × 10−3 |
1.4 | 1.69178 × 10−2 | 8.29045 × 10−3 | 3.67638 × 10−3 | 1.50554 × 10−3 | 5.92702 × 10−4 |
1.5 | 1.19129 × 10−2 | 5.41408 × 10−3 | 2.22022 × 10−3 | 8.44162 × 10−4 | 3.09306 × 10−4 |
1.6 | 8.26865 × 10−3 | 3.47996 × 10−3 | 1.32018 × 10−3 | 4.66118 × 10−4 | 1.58967 × 10−4 |
1.7 | 5.66691 × 10−3 | 2.20472 × 10−3 | 7.73457 × 10−4 | 2.53490 × 10−4 | 8.04443 × 10−5 |
1.8 | 3.84067 × 10−3 | 1.37818 × 10−3 | 4.46573 × 10−4 | 1.35720 × 10−4 | 4.00515 × 10−5 |
1.9 | 2.57738 × 10−3 | 8.50595 × 10−4 | 2.54024 × 10−4 | 7.14679 × 10−5 | 1.95911 × 10−5 |
2.0 | 1.71447 × 10−3 | 5.20049 × 10−4 | 1.42243 × 10−4 | 3.69504 × 10−5 | 9.39348 × 10−6 |