Solution of Lane-Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method

Table 1

Comparison of the numerical result of Example 1 by present method ( and ) and numerical values [3, 19].

	BOM [19]	RK4	SADM	ADM [3]	Error (SADM)	Error (ADM)
0	0	0	0	0	0	0
0.1	−0.0016658338	−0.0016658338	−0.0016658339	−0.0016658339
0.2	−0.0066533671	−0.0066533659	−0.0066533671	−0.0066533671
0.3		−0.0149328824	−0.0149328833	−0.0149328833
0.4		−0.0264554772	−0.0264554763	−0.0264554763
0.5	−0.0411541005	−0.0411539557	−0.0411539573	−0.0411539568
0.6		−0.0589440694	−0.0589440748	−0.0589440720
0.7		−0.0797260141	−0.0797260042	−0.0797599229
0.8		−0.1033860526	−0.1033860532	−0.1033860110
0.9		−0.1297985460	−0.1297985243	−0.1297983987
1	−0.1588624338	−0.1588276877	−0.1588276775	−0.1588273537