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

Table 5

Numerical results of Example 5.5.

𝑥	ℎ=0.1		ℎ=0.05		ℎ=0.025
	𝑒(𝑓1)	𝑒(𝑓2)	𝑒(𝑓1)	𝑒(𝑓2)	𝑒(𝑓1)	𝑒(𝑓2)
0.1	3.671𝑒^−07	2.9894𝑒^−07	1.30𝑒^−08	1.057𝑒^−08	7.0𝑒^−10	2.11𝑒^−09
0.2	4.491𝑒^−07	3.780𝑒^−07	8.39𝑒^−08	7.33𝑒^−08	5.0𝑒^−09	4.6𝑒^−09
0.3	2.1364𝑒^−06	2.0417𝑒^−06	1.439𝑒^−07	1.335𝑒^−07	1.07𝑒^−08	8.4𝑒^−09
0.4	3.1803𝑒^−06	2.5989𝑒^−06	1.946𝑒^−07	1.627𝑒^−07	1.22𝑒^−08	1.17𝑒^−08
0.5	3.8590𝑒^−06	3.0494𝑒^−06	2.841𝑒^−07	2.441𝑒^−07	1.82𝑒^−08	1.54𝑒^−08
0.6	5.3109𝑒^−06	5.0008𝑒^−06	3.539𝑒^−07	3.262𝑒^−07	2.28𝑒^−08	2.06𝑒^−08
0.7	7.0863𝑒^−06	5.9892𝑒^−06	4.518𝑒^−07	3.856𝑒^−07	2.86𝑒^−08	2.52𝑒^−08
0.8	8.5579𝑒^−06	7.0265𝑒^−06	5.596𝑒^−07	4.947𝑒^−07	3.55𝑒^−08	3.15𝑒^−08
0.9	9.9840𝑒^−06	9.3934𝑒^−06	6.597𝑒^−07	6.118𝑒^−07	4.28𝑒^−08	3.89𝑒^−08
1.0	1.29156𝑒^−05	1.10909𝑒^−05	8.334𝑒^−07	7.207𝑒^−07	5.42𝑒^−08	4.64𝑒^−08