Approximation Techniques for Solving Linear Systems of Volterra Integro-Differential Equations

Table 1

The exact and numerical solutions of applying Algorithm 1 for system (66) with .

	Exact solution	Numerical solution	Exact solution	Numerical solution	Exact solution	Numerical solution
0	0	0	1	1	2	2
0.1	−0.1999	−0.1998999986410037	0.999	0.9989999996164405	2.3103418361512955	2.310341836911406
0.2	−0.3984	−0.39840000469382025	0.992	0.992000001268595	2.64280551632034	2.642805513660997
0.3	−0.5919	−0.5919000795392859	0.973	0.9730000216099085	2.999717615152006	2.9997175706314225
0.4	−0.7744	−0.77440022803092	0.936	0.9360000615945837	3.3836493952825406	3.3836492678242998
0.5	−0.9375	−0.9375003156846542	0.875	0.8750000858865024	3.7974425414002564	3.7974423632300143
0.6	−1.0704	−1.0704001918522101	0.784	0.784000056734032	4.244237600781018	4.244237484652817
0.7	−1.1599	−1.1598998894031196	0.657	0.6569999842789827	4.727505414940953	4.72750545433764
0.8	−1.1904	−1.190399643757478	0.488	0.4879999282244343	5.251081856984936	5.251082019406921
0.9	−1.1439	−1.1438996142131692	0.271	0.2709999270259329	5.8192062223139	5.819206393371196