Solving Volterra Integrodifferential Equations via Diagonally Implicit Multistep Block Method

Table 1

Numerical results for Example 1.

	0.025	0.0125	0.00625	0.003125
	MAXE
RK3	8.3229(−08)	1.0910(−08)	1.3953(−09)	1.7637(−10)
ABM3	1.9468(−06)	2.4548(−07)	3.0813(−08)	3.8593(−09)
2PMBM	4.2079(−07)	4.9165(−08)	5.9272(−09)	7.2715(−10)
DIMBM	4.1354(−07)	4.7815(−08)	5.8390(−09)	7.2152(−10)
	TFC
RK3	120	240	480	960
ABM3	82	162	322	642
2PMBM	43	83	163	323
DIMBM	42	82	162	322
	TS
RK3	40	80	160	320
ABM3	40	80	160	320
2PMBM	21	41	81	161
DIMBM	21	41	81	161
	Time
RK3	0.1035	0.1840	0.2970	0.4527
ABM3	0.0860	0.1410	0.2264	0.3454
2PMBM	0.0670	0.1200	0.2024	0.3204
DIMBM	0.0450	0.1120	0.1600	0.2660