Convergence Analysis of the Preconditioned Group Splitting Methods in Boundary Value Problems

Table 1

Comparison of performances for the original EDG SOR and MEDG SOR.

	Unpreconditioned methods
𝑁	EDG SOR				MEDG SOR
	𝑤	𝑘	𝑡 (secs)	𝑒	𝑤	𝑘	𝑡 (secs)	𝑒
34	1.753	49	0	4.11𝐸−06	1.586	21	0	5.00𝐸−06
86	1.894	122	0.047	4.88𝐸−06	1.812	42	0.023	4.57𝐸−06
118	1.921	166	0.078	4.89𝐸−06	1.862	50	0.035	2.08𝐸−06
186	1.943	233	0.187	4.79𝐸−06	1.914	81	0.064	4.36𝐸−06
222	1.948	256	0.327	4.78𝐸−06	1.931	96	0.145	1.84𝐸−06