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

Table 4

A numerical comparison of the approximate solution to Example 5 when 𝑘=10 for different values of 𝑥 in [0,1].

𝑥𝑖	Reference [5]	Reference [6]	Reference [7]	Reference [8]	Present method
0	0	0	0	0	0
0.1	0.0016	0.0166	0.0016	0.0027	0.0017
0.2	0.0065	0.0333	0.0066	0.0038	0.0067
0.3	0.0145	0.0500	0.0149	0.0152	0.0149
0.4	0.0253	0.0666	0.0266	0.0341	0.0265
0.5	0.0385	0.0833	0.0416	0.0456	0.0412
0.6	0.0536	0.1000	0.0598	0.0601	0.0589
0.7	0.0700	0.1166	0.0813	0.0935	0.0797
0.8	0.0870	0.1333	0.1060	0.1399	0.1034
0.9	0.1038	0.1500	0.1338	0.1786	0.1298
1	0.1199	0.1666	0.1646	0.2005	0.1588