Numerical Solution of Nonlinear Volterra Integral Equations System Using Simpson’s 38 Rule

Abstract EN

The Simpson’s 3/8 rule is used to solve the nonlinear Volterra integral equations system.

Using this rule the system is converted to a nonlinear block system and then by solving this nonlinear system we find approximate solution of nonlinear Volterra integral equations system.

One of the advantages of the proposed method is its simplicity in application.

Further, we investigate the convergence of the proposed method and it is shown that its convergence is of order O(h4).

Numerical examples are given to show abilities of the proposed method for solving linear as well as nonlinear systems.

Our results show that the proposed method is simple and effective.