Research Article
Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method
Table 1
Comparison of second order OHAM solution with exact solution and third order MADM solution up to order 14.
| | EXACT solution | MADM solution | OHAM solution | Absolute error MADM | Absolute error OHAM |
| | 0.1 | 0.998337 | 0.998336 | 0.998338 | 1.78094 × 10−6 | 3.03759 × 10−7 | | 0.2 | 0.993399 | 0.993392 | 0.9934 | 7.12004 × 10−6 | 1.00144 × 10−6 | | 0.3 | 0.985329 | 0.985313 | 0.985331 | 1.59824 × 10−5 | 1.59946 × 10−7 | | 0.4 | 0.974355 | 0.974326 | 0.974356 | 2.82262 × 10−5 | 1.66785 × 10−6 | | 0.5 | 0.960769 | 0.960725 | 0.96077 | 4.34674 × 10−5 | 1.14773 × 10−6 | | 0.6 | 0.944911 | 0.94485 | 0.944911 | 6.08991 × 10−5 | 3.98556 × 10−7 | | 0.7 | 0.927145 | 0.927066 | 0.927145 | 7.91571 × 10−5 | 1.05074 × 10−7 | | 0.8 | 0.907842 | 0.907745 | 0.907841 | 9.65148 × 10−5 | 3.56447 × 10−7 | | 0.9 | 0.887358 | 0.887246 | 0.887357 | 1.12075 × 10−4 | 1.45927 × 10−6 | | 1 | 0.866031 | 0.865902 | 0.866026 | 1.29346 × 10−4 | 5.62911 × 10−6 |
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Second order OHAM solution gives encouraging results after comparing it with third order MADM solution.
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