Research Article
Solution of Lane-Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method
Table 3
The numerical results for Example
2, Case
2, for
and
.
| | SADM | Exact | ADM [3] | Absolute error (SADM) | Absolute error (ADM) |
| 0 | 1 | 1 | 1 | 0 | 0 | 0.1 | 0.998337489 | 0.998337489 | 0.99833750 | | | 0.2 | 0.993399268 | 0.993399268 | 0.99339998 | | | 0.3 | 0.985329278 | 0.985329278 | 0.98533726 | | | 0.4 | 0.974354704 | 0.974354704 | 0.97439865 | | | 0.5 | 0.960768923 | 0.960768923 | 0.96093234 | | | 0.6 | 0.944911183 | 0.944911183 | 0.94538460 | | | 0.7 | 0.927145541 | 0.927145541 | 0.92829868 | | | 0.8 | 0.907841299 | 0.907841299 | 0.91031357 | | | 0.9 | 0.887356510 | 0.887356509 | 0.89216242 | | | 1 | 0.866025411 | 0.866025404 | 0.87467085 | | |
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