Numerical solution of linear Fredholm integral equations system by rationalized Haar functions method

Abstract

In this paper rationalized Haar functions are developed to approximate the solutions of the linear Fredholm integral equations system. Properties of rationalized Haar functions are first presented, the operational matrix of the product of rationalized Haar functions vector is utilized to reduce the computation of Fredholm integral equations system to some algebraic equations. Finally, numerical result are given which support the theoretical results.

^†E-mail: [email protected]

Keywords:

• Linear Fredholm integral equations system
• Operational matrix
• Product operation
• Rationalized Haar functions

Notes

^†E-mail: [email protected]