Solving Fredholm integral equations by linear functions using rationalized Haar functions

The numerical solution to the linear Fredholm integral equations of the second kind by linear functions, using rationalized Haar functions are investigated. Using rationalized Haar functions and linear functions, the accuracy has increased in addition to simplicity of the method which is the dominate quality of rationalized Haar functions. In this paper, we convert the integral equation to a system of linear equations, and finally we can calculate the coefficients of the linear functions after solving this system. By using numerical example, we illustrate that our estimation have a good degree of accuracy