Research Article
Solution of Lane-Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method
Table 7
The numerical results for Example
6 for
,
, and
.
| | ADM [3] | SADM | RK4 | Residual error |
| 0.1 | 0.99880903 | 0.99880903 | 0.99880903 | | 0.2 | 0.99525519 | 0.99525519 | 0.99525519 | | 0.3 | 0.98939500 | 0.98939500 | 0.98939500 | | 0.4 | 0.98132029 | 0.98132028 | 0.98132028 | | 0.5 | 0.97115486 | 0.97115480 | 0.97115479 | | 0.6 | 0.95905026 | 0.95904988 | 0.95904987 | | 0.7 | 0.94518104 | 0.94517924 | 0.94517923 | | 0.8 | 0.92574024 | 0.92973345 | 0.92973343 | | 0.9 | 0.91293603 | 0.91291419 | 0.91291416 | | 1 | 0.89499072 | 0.89492872 | 0.89492869 | |
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