Research Article
Solution of Lane-Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method
Table 2
Comparison of the numerical result of Example
2, (Case
1), by present method (
and
) and numerical values [
19].
| | BOM [19] | SADM | ADM [3] | Error (BOM) | Error (SADM) | Error (ADM) |
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0.1 | 0.99833582 | 0.99833583 | 0.99833583 | | | | 0.2 | | 0.99337309 | 0.99337332 | | | | 0.3 | | 0.98519979 | 0.98520236 | | | | 0.4 | | 0.97395826 | 0.97397252 | | | | 0.5 | 0.95983907 | 0.95983907 | 0.95989274 | | | | 0.6 | | 0.94307317 | 0.94323076 | | | | 0.7 | | 0.92392284 | 0.92431254 | | | | 0.8 | | 0.90267209 | 0.90352147 | | | | 0.9 | | 0.78961717 | 0.88129745 | | | | 1 | 0.85505757 | 0.85505757 | 0.85813584 | | | |
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