Extended Residual Power Series Algorithm for Boundary Value Problems

Table 1

Comparison of RPSM with HPM [2], MVIM [33], and MDM [8] in Test Problem 1.

r	Exact; sol	RPSM sol	RPSM	HPM [2]	MVIM [33]	MDM [8]
0.0	1	1	0	0	0	0
0.1	0.994654	0.994654
0.2	0.977122	0.977122
0.3	0.944901	0.944901
0.4	0.895095	0.895095
0.5	0.824361	0.824361
0.6	0.728848	0.728848
0.7	0.604126	0.604126
0.8	0.445108	0.445108
0.9	0.24596	0.24596
1	0			0	0	0

 = exact − approx.