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

Table 2

Numerical results of Example 5.2.

𝑥	ℎ=0.1		ℎ=0.05		ℎ=0.025
	𝑒(𝑓1)	𝑒(𝑓2)	𝑒(𝑓1)	𝑒(𝑓2)	𝑒(𝑓1)	𝑒(𝑓2)
0.1	8.76𝑒^−08	5.4267𝑒^−07	2.5𝑒^−09	4.23𝑒^−09	3.𝑒^−10	5.3𝑒^−10
0.2	1.582𝑒^−07	1.721𝑒^−07	1.93𝑒^−08	1.96𝑒^−08	1.1𝑒^−09	3.0𝑒^−10
0.3	9.821𝑒^−07	1.480𝑒^−07	5.86𝑒^−08	9.1𝑒^−09	3.6𝑒^−09	6.0𝑒^−10
0.4	1.279𝑒^−06	9.462𝑒^−07	7.26𝑒^−08	2.73𝑒^−08	6.0𝑒^−09	2.1𝑒^−09
0.5	1.5475𝑒^−06	8.662𝑒^−07	1.432𝑒^−07	6.44𝑒^−08	8.7𝑒^−09	3.1𝑒^−09
0.6	3.7774𝑒^−06	1.2556𝑒^−06	2.320𝑒^−07	8.35𝑒^−08	1.44𝑒^−08	5.3𝑒^−09
0.7	4.4688𝑒^−06	2.7058𝑒^−06	2.707𝑒^−07	1.421𝑒^−07	1.92𝑒^−08	9.4𝑒^−09
0.8	5.1935𝑒^−06	3.4142𝑒^−06	3.935𝑒^−07	2.295𝑒^−07	2.43𝑒^−08	1.38𝑒^−08
0.9	8.4753𝑒^−06	4.7428𝑒^−06	5.286𝑒^−07	3.101𝑒^−07	3.30𝑒^−08	2.0𝑒^−08
1.0	9.8341𝑒^−06	7.3373𝑒^−06	6.107𝑒^−07	4.427𝑒^−07	4.04𝑒^−08	2.86𝑒^−08