Boundary element approach of solving Fredholm and Volterra integral equations

Abstract

A simple numerical technique namely boundary element method (BEM) is employed here to solve Fredholm and Volterra integral equations of the second kind. In this method, the integral equation is converted into a system of linear algebraic equations by discretising the range of the integration and interval of definition into a finite number of line elements. By solving the system of linear equations by standard technique the solution of the integral equation is obtained for points in each line element. The method is computationally very simple and gives quite accurate results.