Research Article
Solution of Lane-Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method
Table 9
The numerical results for Example
6 for
,
, and
.
| | ADM [3] | SADM | RK4 | Residual error |
| 0.1 | 0.99957876 | 0.99957876 | 0.99957876 | | 0.2 | 0.99831983 | 0.99831983 | 0.99831983 | | 0.3 | 0.99623743 | 0.99623743 | 0.99623743 | | 0.4 | 0.99335491 | 0.99335491 | 0.99335491 | | 0.5 | 0.98970415 | 0.98970415 | 0.98970415 | | 0.6 | 0.98532490 | 0.98532488 | 0.98532487 | | 0.7 | 0.98026385 | 0.98026375 | 0.98026374 | | 0.8 | 0.97457371 | 0.97457333 | 0.97457332 | | 0.9 | 0.96831224 | 0.96831099 | 0.96831098 | | 1 | 0.96154132 | 0.96153777 | 0.96153776 | |
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