Numerical solution of nonlinear mixed Volterra-Fredholm integral equations in complex plane via PQWs

Abstract

This paper presents an efficient numerical method for solving nonlinear mixed Volterra- integral equations in the complex plane. The method is based on the fixed point iteration procedure. In each iteration of this method, periodic quasi-wavelets are used as basis functions to approximate the solution. Also, using the Banach fixed point theorem, some results concerning the error analysis are obtained. Finally, some numerical examples show the implementation and accuracy of this method.