On the solution of a nonlinear integral equation on the basis of a fixed point technique and cubic B-spline scaling functions

Abstract

In this paper we apply the fixed point method to solve some nonlinear functional Volterra integral equations which appear in many physical, chemical, and biological problems. In each iteration of this method, cubic semi-orthogonal compactly supported B-spline wavelets are used as basis functions to approximate the solution. Also, the convergence of this numerical method is investigated and some examples are presented to show the accuracy and convergence of the method.