Theory and Modern Applications
From: A reliable technique to study nonlinear time-fractional coupled Korteweg–de Vries equations
t | x | \(Q^{(3)}\) | Exact | Absolute error | \(S^{(3)}\) | Exact | Absolute error |
---|---|---|---|---|---|---|---|
0.1 | −1 | 0.78280644 | 0.78280644 | 8.60119 × 10−11 | 0.17504084 | 0.17504084 | 1.92328 × 10−11 |
−0.5 | 0.93769338 | 0.93769338 | 2.24731 × 10−10 | 0.20967461 | 0.20967461 | 5.02514 × 10−11 | |
0 | 0.99997500 | 0.99997500 | 4.16661 × 10−10 | 0.22360121 | 0.22360121 | 9.31682 × 10−11 | |
0.5 | 0.94229778 | 0.94229778 | 2.27333 × 10−10 | 0.21070419 | 0.21070419 | 5.08333 × 10−11 | |
1 | 0.79007490 | 0.79007490 | 8.41223 × 10−11 | 0.17666612 | 0.17666612 | 1.88103 × 10−11 | |
0.3 | −1 | 0.77548344 | 0.77548343 | 7.11796 × 10−09 | 0.17340337 | 0.17340337 | 1.59162 × 10−09 |
−0.5 | 0.93293648 | 0.93293649 | 1.79914 × 10−08 | 0.20861094 | 0.20861094 | 4.02300 × 10−09 | |
0 | 0.99977500 | 0.99977503 | 3.37457 × 10−08 | 0.22355649 | 0.22355649 | 7.54577 × 10−09 | |
0.5 | 0.94674634 | 0.94674636 | 1.86237 × 10−08 | 0.21169892 | 0.21169892 | 4.16438 × 10−09 | |
1 | 0.79728485 | 0.79728485 | 6.65882 × 10−09 | 0.17827831 | 0.17827831 | 1.48896 × 10−09 | |
0.5 | −1 | 0.76810985 | 0.76810979 | 5.60719 × 10−08 | 0.17175458 | 0.17175457 | 1.25381 × 10−08 |
−0.5 | 0.92803044 | 0.92803057 | 1.37181 × 10−07 | 0.20751391 | 0.20751394 | 3.06747 × 10−08 | |
0 | 0.99937500 | 0.99937526 | 2.60324 × 10−07 | 0.22346704 | 0.22346710 | 5.82103 × 10−08 | |
0.5 | 0.95103569 | 0.95103584 | 1.45310 × 10−07 | 0.21265805 | 0.21265808 | 3.24923 × 10−08 | |
1 | 0.80443236 | 0.80443231 | 5.01678 × 10−08 | 0.17987654 | 0.17987653 | 1.12179 × 10−08 |