Numerical Solution of Nonlinear Volterra Integral Equations System Using Simpson’s 3/8 Rule

Table 1

Numerical results of Example 5.1.

𝑥	𝑒HPM in [9]		ℎ=0.1		ℎ=0.05
	𝑒(𝑓1)	𝑒(𝑓2)	𝑒(𝑓1)	𝑒(𝑓2)	𝑒(𝑓1)	𝑒(𝑓2)
0.1	9.678𝑒^−07	4.711𝑒^−05	0	0	0	0
0.2	3.002𝑒^−05	7.111𝑒^−04	0	0	0	0
0.3	2.211𝑒^−04	3.399𝑒^−03	0	0	0	0
0.4	9.053𝑒^−04	1.015𝑒^−02	0	0	0	0
0.5	2.687𝑒^−03	2.346𝑒^−02	0	1.0𝑒^−10	0	1.0𝑒^−10
0.6	6.511𝑒^−03	4.605𝑒^−02	0	0	0	0
0.7	1.372𝑒^−02	8.084𝑒^−02	0	1.0𝑒^−10	0	1.0𝑒^−10
0.8	2.609𝑒^−02	0.131	1.0𝑒^−10	1.0𝑒^−10	0	1.0𝑒^−10
0.9	2.929𝑒^−02	0.198	0	0	0	0
1.0	7.601𝑒^−02	0.287	0	0	0	0