Theory and Modern Applications
From: A reliable technique to study nonlinear time-fractional coupled Korteweg–de Vries equations
x | NIM[43] | q-HATM \((S^{(3)})\) | Exact | ABS error (NIM) [43] | ABS error (q-HATM) |
---|---|---|---|---|---|
−50 | 9.77629 × 10−06 | 9.77690 × 10−06 | 9.77691 × 10−06 | 6.24540 × 10−10 | 1.15064 × 10−11 |
−40 | 7.22150 × 10−05 | 7.22195 × 10−05 | 7.22196 × 10−05 | 4.60471 × 10−09 | 8.46214 × 10−11 |
−30 | 5.32373 × 10−04 | 5.32406 × 10−04 | 5.32406 × 10−04 | 3.34797 × 10−08 | 6.03701 × 10−10 |
−20 | 3.86797 × 10−03 | 3.86819 × 10−03 | 3.86819 × 10−03 | 2.19196 × 10−07 | 3.38628 × 10−09 |
−10 | 2.54382 × 10−02 | 2.54388 × 10−02 | 2.54388 × 10−02 | 5.70005 × 10−07 | 5.51964 × 10−09 |
0 | 1.03700 × 10−01 | 1.03698 × 10−01 | 1.03698 × 10−01 | 1.75596 × 10−06 | 9.24074 × 10−10 |
10 | 1.77670 × 10−01 | 1.77670 × 10−01 | 1.77670 × 10−01 | 5.80831 × 10−07 | 4.87746 × 10−09 |
20 | 1.96655 × 10−01 | 1.96655 × 10−01 | 1.96655 × 10−01 | 2.12492 × 10−07 | 3.31998 × 10−09 |
30 | 1.99541 × 10−01 | 1.99541 × 10−01 | 1.99541 × 10−01 | 3.22892 × 10−08 | 5.86792 × 10−10 |
40 | 1.99938 × 10−01 | 1.99938 × 10−01 | 1.99938 × 10−01 | 4.43792 × 10−09 | 8.21664 × 10−11 |
50 | 1.99992 × 10−01 | 1.99992 × 10−01 | 1.99992 × 10−01 | 6.01862 × 10−10 | 1.11710 × 10−11 |