Research Article
Least Square Homotopy Perturbation Method for Ordinary Differential Equations
Table 3
Comparison of second-order absolute error of LSHPM with HPM, Q-spline, and B-spline in Problem
3.
| | Exact | LSHPM | HPM | Q-spline | B-spline | Solution | Solution | Error | Solution | Error | Error [22] | Error [23] |
| 0 | 0 | | | 0 | 0 | 0 | 0 | 0.1 | 0.0994654 | 0.0994654 | | 0.0994651 | | | 0 | 0.2 | 0.195424 | 0.195424 | | 0.195423 | | | | 0.3 | 0.28347 | 0.28347 | | 0.283468 | | | | 0.4 | 0.358038 | 0.358038 | | 0.358033 | | | | 0.5 | 0.41218 | 0.41218 | | 0.412173 | | | | 0.6 | 0.437309 | 0.437309 | | 0.437299 | | | | 0.7 | 0.422888 | 0.422888 | | 0.422877 | | | | 0.8 | 0.356087 | 0.356087 | | 0.356076 | | | | 0.9 | 0.221364 | 0.221364 | | 0.221357 | | | | 1 | 0 | | | | | 0 | |
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