Research Article
Numerical Solution of Singular Lane-Emden Equation
Table 2
Numerical results of Example
2 for
.
| | Exact solution | Legendre wavelets | Absolute error |
| 0.0 | 1 | 1 | 0 | 0.1 | 0.9983341665 | 0.9983341665 | 0 | 0.2 | 0.9933466540 | 0.9933466540 | 0 | 0.3 | 0.9850673556 | 0.9850673556 | 0 | 0.4 | 0.9735458558 | 0.9735458558 | 0 | 0.5 | 0.9588510772 | 0.9588510772 | 0 | 0.6 | 0.9410707892 | 0.9410707890 | | 0.7 | 0.0920310982 | 0.0920310989 | | 0.8 | 0.8966951136 | 0.8966951137 | | 0.9 | 0.8703632328 | 0.8703632329 | | 1 | 0.8414709848 | 0.8414709848 | 0 |
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