Research Article
Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method
Table 3
Comparison of the series of OHAM solution with exact solution and MADM solution with order 10.
| | EXACT solution | MADM solution | OHAM solution | Absolute error MADM | Absolute error OHAM |
| | 0.1 | 0.00110517 | 0.00110273 | 0.00110615 | 2.4423 × 10−6 | 9.77862 × 10−7 | | 0.2 | 0.00977122 | 0.00973215 | 0.00978687 | 3.90768 × 10−5 | 1.56458 × 10−5 | | 0.3 | 0.0364462 | 0.0362484 | 0.0365254 | 1.97827 × 10−4 | 7.92069 × 10−5 | | 0.4 | 0.0954768 | 0.0948515 | 0.0957271 | 6.25242 × 10−4 | 2.50333 × 10−4 | | 0.5 | 0.20609 | 0.204564 | 0.20670 | 1.52656 × 10−3 | 6.11167 × 10−4 | | 0.6 | 0.393578 | 0.390412 | 0.394845 | 3.16596 × 10−3 | 1.26732 × 10−3 | | 0.7 | 0.690717 | 0.684849 | 0.693064 | 5.86744 × 10−3 | 2.34789 × 10−3 | | 0.8 | 1.13947 | 1.12946 | 1.14348 | 1.00169 × 10−2 | 4.00545 × 10−3 | | 0.9 | 1.79304 | 1.77697 | 1.79946 | 1.6067 × 10−2 | 6.41611 × 10−3 | | 1 | 2.71825 | 2.69371 | 2.72805 | 2.45465 × 10−2 | 9.77953 × 10−3 |
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