Numerical Solution of Linear Volterra-Fredholm Integral Equations Using Lagrange Polynomials

Abstract

In this paper, new algorithms for finding numerical solution of Linear Volterra-Fredholm integral equations (LVFIE's) of the second kind are introduced. The methods based upon Lagrange polynomial approximation, Barycentric Lagrange polynomial approximation, and Modified Lagrange polynomial approximation. Also, some examples are included to improve the validity and applicability of the techniques. Finally a comparison between the proposed methods and other methods were used to solve this kind of equations.