Bernstein Series Solution of a Class of Lane-Emden Type Equations

Table 9

Comparison of the approximate solutions, between present method and the method given in [19] for Example 12.

𝑥	Bernstein series solution	The method of [19]
0.5	6.4028𝐸−7	8.5210𝐸−7
1.0	6.8904𝐸−7	2.5303𝐸−6
1.5	5.8873𝐸−7	6.5438𝐸−6
2.0	4.2867𝐸−7	1.1482𝐸−6
2.5	2.5070𝐸−7	5.5047𝐸−6
3.0	7.8804𝐸−8	1.7238𝐸−6
3.5	5.8535𝐸−8	5.0772𝐸−6
4.0	1.4224𝐸−7	1.9317𝐸−6
4.5	6.2010𝐸−7	4.6236𝐸−6
5.0	1.9237𝐸−5	2.8580𝐸−6