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

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

x Exact HOBW at M = 4, k = 3 Nystrom method (N = 20)
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