Classic Spline Functions for Approximate Solution of System of Non-Linear Volterra Integral Equations of the Second Kind

Abstract

In this paper we consider non-linear system of Volterra integral equations of the second kind (NSVIEK2), Three different kinds of classic spline functions (Linear, quadratic and cubic) have been modified and applied for the first time to treat the above system, A comparison between approximate and exact results for two numerical examples depending on the least-square error are given to show the accuracy of the results obtained by using this method, Programs are written in matlab program version 7.0.