New Analytic Solution to the Lane-Emden Equation of Index 2

Table 5

Errors of the MSLM at selected values of 𝑥.

𝑥	4th order	6th order	8th order	10th order
0.5	0.0000000	0.0000000	0.0000000	0.0000000
1.0	0.0000003	0.0000000	0.0000000	0.0000000
1.5	0.0000131	0.0000001	0.0000000	0.0000000
2.0	0.0001538	0.0000002	0.0000000	0.0000000
2.5	0.0008648	0.0000022	0.0000000	0.0000000
3.0	0.0029816	0.0000126	0.0000000	0.0000000
3.5	0.0071421	0.0000440	0.0000001	0.0000000
4.0	0.0126415	0.0001044	0.0000003	0.0000000