Numerical solvability of system of Fredholm-Hammerstein integral equations using Modification of Hat Function

A system of integral equations can describe different kind of problems in sciences and engineering. There are many different methods for numerical solution of linear and nonlinear system of integral equations. This paper proposed a numerical method based on modification of Hat functions for solving system of Fredholm-Hammerstein integral equations. The proposed method reduced a system of integral equation to a system of algebraic equations that can be solved easily by known methods. For showing the accuracy and capability of the proposed method, some numerical examples are proposed that their results compared by other method results, and shows the capability and the superiority of this method to other existed methods.