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

Table 3

Numerical results of Example 5.3.

𝑥	ℎ=0.1		ℎ=0.05		ℎ=0.025
	𝑒(𝑓1)	𝑒(𝑓2)	𝑒(𝑓1)	𝑒(𝑓2)	𝑒(𝑓1)	𝑒(𝑓2)
0.1	3.398𝑒^−06	3.4931𝑒^−06	3.4𝑒^−08	8.21𝑒^−08	3.0𝑒^−09	1.49𝑒^−08
0.2	1.853𝑒^−06	3.2536𝑒^−06	1.36𝑒^−07	5.302𝑒^−07	2.0𝑒^−09	2.76𝑒^−08
0.3	1.934𝑒^−06	1.55679𝑒^−05	8.8𝑒^−08	9.580𝑒^−07	5.0𝑒^−09	5.88𝑒^−08
0.4	1.0510𝑒^−05	2.52780𝑒^−05	2.53𝑒^−07	1.0938𝑒^−06	1.7𝑒^−08	9.17𝑒^−08
0.5	1.1155𝑒^−05	2.21338𝑒^−05	6.96𝑒^−07	2.3675𝑒^−06	2.9𝑒^−08	1.245𝑒^−07
0.6	1.7852𝑒^−05	6.29575𝑒^−05	9.93𝑒^−07	3.9457𝑒^−06	6.0𝑒^−08	2.441𝑒^−07
0.7	6.2599𝑒^−05	1.201563𝑒^−04	2.259𝑒^−06	4.5288𝑒^−06	1.44𝑒^−07	4.090𝑒^−07
0.8	8.9572𝑒^−05	9.5467𝑒^−05	5.569𝑒^−06	1.2368𝑒^−05	2.90𝑒^−07	6.01𝑒^−07
0.9	1.70559𝑒^−04	3.70854𝑒^−04	1.0249𝑒^−05	2.4445𝑒^−05	6.51𝑒^−07	1.533𝑒^−06
1.0	7.91069𝑒^−04	1.185001𝑒^−03	2.6732𝑒^−05	3.0637𝑒^−05	1.730𝑒^−06	3.391𝑒^−06