Research Article
Solution of Lane-Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method
Table 4
Comparison of the numerical result of Example
3 by present method (
and
) and ADM [
3].
| | RK4 | SADM | ADM [3] | Error (SADM) | Error (ADM) |
| 0.1 | 0.99859793 | 0.99859793 | 0.99859793 | | | 0.2 | 0.99439626 | 0.99439626 | 0.99439626 | | | 0.5 | 0.96517781 | 0.96517778 | 0.96517778 | | | 0.8 | 0.91183204 | 0.91183203 | 0.91183204 | | | 1.1 | 0.83609012 | 0.83609015 | 0.83609012 | | | 1.3 | 0.77443518 | 0.77443523 | 0.77443518 | | | 1.5 | 0.70504518 | 0.70504523 | 0.70504518 | | | 1.6 | 0.66783443 | 0.66783449 | 0.66783443 | | | 1.7 | 0.62917734 | 0.62917741 | 0.62917734 | | | 1.8 | 0.58926208 | 0.58926216 | 0.58926208 | | | 1.9 | 0.54828781 | 0.54828789 | 0.54828781 | | | 2 | 0.50646355 | 0.50646362 | 0.50646355 | | |
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