Table 1 The comparison with exact solution and ADM (Wazwaz 2001)
\(\tau\) | LT-HPM | ADM | Exact | Error (LT-HPM) | Error (ADM) |
|---|---|---|---|---|---|
0.0 | 1 | 1 | 1 | 0.0 | 0.0 |
0.1 | 1.0100501670842 | 1.01005017 | 1.0100501670842 | 0.0 | 0.0 |
0.2 | 1.0408107741924 | 1.04081078 | 1.0408107741924 | 0.0 | 1E−9 |
0.3 | 1.0941742836956 | 1.09417428 | 1.0941742837052 | 9.6E−12 | 1E−9 |
0.4 | 1.1735108704484 | 1.17351087 | 1.1735108709918 | 5.434E−10 | 2.3E−8 |
0.5 | 1.2840254041884 | 1.28402542 | 1.2840254166877 | 1.24993E−8 | 3.5E−7 |
0.6 | 1.4333292517888 | 1.43332623 | 1.4333294145603 | 1.627715E−7 | 3.2E−6 |
0.7 | 1.6323147871342 | 1.63229556 | 1.6323162199554 | 1.4328212E−6 | 2.1E−5 |
0.8 | 1.8964714019044 | 1.89637596 | 1.8964808793049 | 9.99706E−4 | 1.1E−4 |