An effective numerical method to solve a class of nonlinear singular boundary value problems using improved differential transform method

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Table 6 Comparison of the approximate solutions for Example 3

x	BSDM (Khuri and Sayfy 2010)	BSM (Çağlar et al. 2009)	VIM (Wazwaz 2011)	SGM (Babolian et al. 2015)	Present method
0.0	0.8284832948	0.8284832729	0.8284832761	0.8284832912	0.8284832870
0.1	0.8297060968	0.8297060752	0.8297060781	0.8297060933	0.8297060890
0.2	0.8333747380	0.8333747169	0.8333747193	0.8333747345	0.8333747303
0.3	0.8394899183	0.8394898981	0.8394898996	0.8394899148	0.8394899106
0.4	0.8480527887	0.8480527703	0.8480527701	0.8480527859	0.8480527816
0.5	0.8590649275	0.8590649139	0.8590649108	0.8590649281	0.8590649239
0.6	0.8725283156	0.8725283084	0.8725282997	0.8725283208	0.8725283166
0.7	0.8884452994	0.8884452958	0.8884452781	0.8884453065	0.8884453023
0.8	0.9068185417	0.9068185402	0.9068185095	0.9068185490	0.9068185448
0.9	0.9276509830	0.9276509825	0.9276509392	0.9276509893	0.9276509853
1.0	0.9509457948	0.9509457946	0.9509457539	0.9509457994	0.9509457960