A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations

Abstract

In this paper, an iterative scheme for extracting approximate solutions of two dimensional Volterra-Fredholm integral equations is proposed. Considering some conditions on the kernel of the integral equation obtained by discretization of the integral equation, the convergence of the approximate solution to the exact solution is investigated. Several examples are provided to demonstrate the effciency of the approach.

Keywords

• volterra-fredholm integral equation
• iterative method
• dis- cretization
• approximation