A Computational Method for System of Linear Fredholm Integral Equations

Abstract

This paper focuses on developing a numerical method based on a cubic spline approach for the solution of system of linear Fredholm equations of the second kind. This method produces a system of algebraic equations. The efficiency and accuracy of the method are demonstrated by a numerical example and the mathematical software Matlab R2010a was used to carry out the necessary computations.

Keywords: System of linear Fredholm integral equations, natural cubic spline