A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method

Table 3

A numerical comparison of the approximate solution to Example 4 for different values of 𝑥 in [0,2].

𝑥𝑖	Reference [3]	Reference [2]	Reference [4]	Present method
0	1	1	1	1
0.1	0.9985979358	0.9986051425	0.9985979358	0.9985979274
0.2	0.9943962733	0.9944062706	0.9943962733	0.9943962649
0.5	0.9651777886	0.9651881683	0.9651777886	0.9651777802
1	0.8636811027	0.8636881301	0.8636811027	0.8636811256
1.5	0.7050419247	0.7050524103	0.7050419247	0.7050452522
2	0.5063720330	0.5064687568	0.5063720330	0.5064651631