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

Table 3

The exact and numerical solutions of applying Algorithm 2 for system (66).

	Exact solution	Numerical solution	Exact solution	Numerical solution	Exact solution	Numerical solution
0	0	2.690833666996184	1	0.9999999999543171	2	1.9999999974820484
0.1	−0.1999	−0.19990000000022942	0.999	0.9990000000727636	2.3103418361512955	2.3103418351947798
0.2	−0.3984	−0.39839999999984066	0.992	0.991999999990548	2.64280551632034	2.6428055151638277
0.4	−0.7744	−0.7744000000009819	0.936	0.9360000000694738	3.3836493952825406	3.3836493955712172
0.5	−0.9375	−0.9374999999997702	0.875	0.875000000131186	3.7974425414002564	3.7974425389296056
0.6	−1.0704	−1.0703999999956941	0.784	0.7840000001191981	4.244237600781018	4.244237600772698
0.7	−1.1599	−1.1598999999883794	0.657	0.6570000000729469	4.727505414940953	4.727505417496077
0.8	−1.1904	−1.190399999977122	0.488	0.4880000000954549	5.251081856984936	5.2510818561222665
0.9	−1.1439	−1.1438999999585011	0.271	0.27100000021849296	5.8192062223139	5.819206221276965