A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method

Table 1

Comparison of the absolute errors for Example 5.2.

𝑥	Method in [10]	Present method	Present method
	(𝑛=30)	(𝑁=2, 𝑀=3)	(𝑁=2, 𝑀=5)
0	0	0	0
0.1	1.78e−08	5.73e−006	2.52e−009
0.2	2.09e−08	7.22e−006	3.05e−010
0.5	2.62e−08	1.17e−005	2.61e−009
0.7	3.27e−08	1.22e−006	1.28e−009
0.8	3.79e−08	1.88e−006	6.19e−009
0.9	5.48e−08	1.31e−006	2.02e−010
1.0	2.51e−09	8.49e−006	1.30e−010