Solution of fractional Volterra–Fredholm integro-differential equations under mixed boundary conditions by using the HOBW method

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 Comparison of HOBW results and Abs. Error for Example 7.2

x	Exact	HOBW at M = 4, k = 3		Nystrom method (N = 20)
x	y(x)	y(x)	Abs. Error	y(x)	Abs. Error
0	0	0.000766339	0.0000766339	0	0
0.1	0.01	0.0106897	0.00006897	0.0100005	0.00000487
0.2	0.04	0.040613	0.0000613	0.0400065	0.0000065
0.3	0.09	0.0905364	0.00005364	0.0900304	0.0000304128
0.4	0.16	0.16046	0.000046	0.160101	0.00010141
0.5	0.25	0.250372	0.0000372	0.250329	0.000329115
0.6	0.36	0.360307	0.0000307	0.361156	0.00115625
0.7	0.49	0.490222	0.0000222	0.494128	0.00412784
0.8	0.64	0.640136	0.0000136	0.653945	0.0139455
0.9	0.81	0.810069	0.000069	0.85402	0.0440196