Numerical Solution of Singular Lane-Emden Equation

Table 3

Numerical results of Example 2 for 𝑛=5.

𝑥	Exact solution	Legendre wavelets	Absolute error
0.0	1	1	0
0.1	0.9983374884	0.9983374884	0
0.2	0.9933992679	0.9933992677	2×10^−10
0.3	0.9853292781	0.9853292781	0
0.4	0.9743547036	0.9743547036	0
0.5	0.9607689228	0.9607689228	0
0.6	0.9449111826	0.9449111825	1×10^−10
0.7	0.9271455411	0.9271455408	3×10^−10
0.8	0.9078412992	0.9078412989	3×10^−10
0.9	0.8873565093	0.8873565094	1×10^−10
1	0.8660254038	0.8660254038	0