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

Table 5

The exact and numerical solutions of applying Algorithm 1 for system (69).

	Exact solution	Numerical solution	Absolute error	Exact solution	Numerical solution	Absolute error
0	2	2	0	1	1	0
0.1	2.1051709180756477	2.1051397636262448	0.00003115444940293699	0.9950041652780258	0.9949953813521188	0.00000878392590697441
0.2	2.2214027581601696	2.2212621771873557	0.00014058097281388626	0.9800665778412416	0.9800269511507578	0.00003962669048385159
0.3	2.349858807576003	2.353150577162296	0.0032917695862928475	0.955336489125606	0.9562638272781463	0.0009273381525403135
0.4	2.4918246976412703	2.5101191909529916	0.018294493311721283	0.9210609940028851	0.9262143139859589	0.005153319983073779
0.5	2.648721270700128	2.694898115680843	0.046176844980714726	0.8775825618903728	0.890587846895059	0.013005285004686229
0.6	2.822118800390509	2.8955876162197285	0.07346881582921938	0.8253356149096782	0.8460218395509642	0.020686224641286
0.7	3.0137527074704766	3.094820636647796	0.08106792917731953	0.7648421872844884	0.7876576255740133	0.022815438289524925
0.8	3.225540928492468	3.289093529586907	0.06355260109443917	0.6967067093471654	0.7145821371224699	0.017875427775304487
0.9	3.45960311115695	3.4945194299151083	0.03491631875815848	0.6216099682706644	0.631444245918761	0.009834277648096634