Solution of the Lane-Emden Equation Using the Bernstein Operational Matrix of Integration

Table 2

Comparison of the numerical solution and error obtained by present method with series solution [25].

𝑥	Our method			Series method [25]
	𝑚=32	𝑚=128	𝑚=256
0.0	0.00𝐸+00	0.00𝐸+00	0.00𝐸+00	0.00𝐸+00
0.1	4.05𝐸−05	2.53𝐸−06	6.32𝐸−07	5.85𝐸−07
0.2	4.00𝐸−05	2.50𝐸−06	6.26𝐸−07	6.04𝐸−07
0.5	3.65𝐸−05	2.28𝐸−06	5.72𝐸−07	5.58𝐸−07
1.0	2.51𝐸−05	7.88𝐸−07	5.07𝐸−07	8.20𝐸−07