Numerical Solution of Singular Lane-Emden Equation

Table 2

Numerical results of Example 2 for 𝑛=1.

𝑥	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	2×10^−10
0.7	0.0920310982	0.0920310989	2×10^−10
0.8	0.8966951136	0.8966951137	1×10^−10
0.9	0.8703632328	0.8703632329	1×10^−10
1	0.8414709848	0.8414709848	0