Research Article
Solution of Lane-Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method
Table 8
The numerical results for Example
6 for
,
, and
.
| | ADM [3] | SADM | RK4 | Residual error |
| 0.1 | 0.99922630 | 0.99922630 | 0.99922630 | | 0.2 | 0.99691595 | 0.99691595 | 0.99691595 | | 0.3 | 0.99310085 | 0.99310085 | 0.99310085 | | 0.4 | 0.98783306 | 0.98783306 | 0.98783306 | | 0.5 | 0.98118327 | 0.98118325 | 0.98118324 | | 0.6 | 0.97323871 | 0.97323859 | 0.97323858 | | 0.7 | 0.96410081 | 0.96410027 | 0.96410026 | | 0.8 | 0.95388278 | 0.95388075 | 0.95388074 | | 0.9 | 0.94270739 | 0.94270085 | 0.94270083 | | 1 | 0.93070541 | 0.93068681 | 0.93068679 | |
|
|