Solution of the Nonlinear Mixed Volterra-Fredholm Integral Equations by Hybrid of Block-Pulse Functions and Bernoulli Polynomials

Table 5

𝑡	Method in [8] with 𝑁=2 and 𝑀3=11	Present method with 𝑁=2 and 𝑀=4	Exact solution
0.0	1.0000000000	1.0000000000	1.0000000000
0.0625	0.9990222526	0.9960975654	0.9960975632
0.1250	0.9844055237	0.9844359392	0.9844359398
0.1875	0.9680159682	0.9651516526	0.9651516562
0.2500	0.9383506092	0.9384704781	0.9384704793
0.3125	0.9074518600	0.9047047767	0.9047047741
0.3750	0.8639866978	0.8642498478	0.8642498461
0.4375	0.8201591812	0.8175793124	0.8175793136
0.5000	0.7647877177	0.7652395632	0.7652395632
0.5625	0.7102158051	0.7078433572	0.7078433525
0.6250	0.6453877501	0.6460626343	0.6460626367
0.6875	0.5827577851	0.5806206938	0.5806207020
0.7500	0.5113646167	0.5122836956	0.5122836972
0.8125	0.4437393774	0.4418516716	0.4418516650
0.8750	0.3689792921	0.3701491788	0.3701491750
0.9375	6.2996549401	0.2980156676	0.2980156705
1.0000	0.2248834557	0.2262956409	0.2262956409