Numerical Solution of Singular Lane-Emden Equation

Table 4

Numerical results of Example 3.

𝑥	Exact solution	Legendre wavelets	Absolute error
0.0	1	0.9999999958	4.2×10^−9
0.1	1.010050167	1.010050166	1×10^−9
0.2	1.040810774	1.040810774	0
0.3	1.094174284	1.094174282	2×10^−9
0.4	1.173510871	1.173510871	0
0.5	1.284025417	1.284025415	2×10^−9
0.6	1.433329415	1.433329414	1×10^−9
0.7	1.632316220	1.632316219	1×10^−9
0.8	1.896480879	1.896480878	1×10^−9
0.9	2.247907987	2.247907986	1×10^−9
1	2.718281828	2.718281824	4×10^−9