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Table 3 Comparison of HOBW results and the Nystrom method for Example 7.3

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
y(x) Abs. Error y(x) Abs. Error
0 1 1 0 1 0
0.1 1.10517 1.105167 0.000003 1.10393 0.00123938
0.2 1.2214 1.22138 0.00002 1.21842 0.00297924
0.3 1.34986 1.349857 0.000003 1.34476 0.00510241
0.4 1.49182 1.491816 0.000004 1.4843 0.00752611
0.5 1.64872 1.648718 0.000002 1.63862 0.0101061
0.6 1.82212 1.822119 0.000001 1.80958 0.0125403
0.7 2.01375 2.013747 0.000003 1.99952 0.0142327
0.8 2.22554 2.225538 0.000002 2.21144 0.0141018
0.9 2.4596 2.45956 0.00004 2.44928 0.0103248