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

Table 8

Errors of the ADM-SLM at selected values of 𝑥.

𝑥	[3,1]	[4,1]	[5,1]	[6,1]
0.5	0.0000000	0.0000000	0.0000000	0.0000000
1.0	0.0000000	0.0000000	0.0000000	0.0000000
1.5	0.0000001	0.0000000	0.0000000	0.0000000
2.0	0.0000005	0.0000000	0.0000000	0.0000000
2.5	0.0000059	0.0000000	0.0000000	0.0000000
3.0	0.0000574	0.0000000	0.0000000	0.0000000
3.5	0.0009556	0.0000003	0.0000000	0.0000000
4.0	0.0256775	0.0000049	0.0000000	0.0000000