Research Article
Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method
Table 2
Comparison of OHAM solution with exact solution and MADM solution of order 10.
| | EXACT solution | MADM solution | OHAM solution | Absolute error MADM | Absolute error OHAM |
| | 0.1 | 0.00110519 | 0.00110515 | 0.00110517 | 1.87999 × 10−8 | 2.64081 × 10−14 | | 0.2 | 0.00977122 | 0.00977092 | 0.00977122 | 3.00822 × 10−7 | 1.58487 × 10−9 | | 0.3 | 0.0364462 | 0.036447 | 0.0364462 | 1.52339 × 10−6 | 2.99917 × 10−8 | | 0.4 | 0.0954768 | 0.095472 | 0.0954765 | 4.81805 × 10−6 | 2.31584 × 10−7 | | 0.5 | 0.20609 | 0.206078 | 0.206089 | 1.17777 × 10−5 | 1.12844 × 10−6 | | 0.6 | 0.393578 | 0.393553 | 0.393573 | 2.44717 × 10−5 | 4.14866 × 10−6 | | 0.7 | 0.690717 | 0.690671 | 0.690704 | 4.54747 × 10−5 | 1.26327 × 10−5 | | 0.8 | 1.13947 | 1.1394 | 1.13944 | 7.79179 × 10−5 | 3.36654 × 10−5 | | 0.9 | 1.79304 | 1.79292 | 1.79296 | 1.25578 × 10−4 | 8.13233 × 10−5 | | 1 | 2.71825 | 2.71806 | 2.71807 | 1.93023 × 10−4 | 1.82278 × 10−4 |
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