Research Article
Solution of Lane-Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method
Table 6
Comparison of the numerical result of Example
5 by present method (
and
), ADM [
3], and exact solution.
| | SADM | ADM [3] | Exact | Absolute error (SADM) | Absolute error (ADM) |
| | 0.1 | 1.01005017 | 1.01005017 | 1.01005017 | | 0 | | 0.2 | 1.04081077 | 1.04081078 | 1.04081077 | | | | 0.3 | 1.09417428 | 1.09417428 | 1.09417428 | | | | 0.4 | 1.17351087 | 1.17351085 | 1.17351087 | | | | 0.5 | 1.28402542 | 1.28402507 | 1.28402542 | | | | 0.6 | 1.43332941 | 1.43332623 | 1.43332941 | | | | 0.7 | 1.63231622 | 1.63229556 | 1.63231622 | | | | 0.8 | 1.89648088 | 1.89637596 | 1.89648088 | | |
|
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