Mathematical Researches

Introduction
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.
Material and methods
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.
Results and discussion
For showing the accuracy and capability of the proposed method, some numerical examples are proposed that their results compared by results of other methods, and shows the capability and the superiority of this method to other existed methods.
Also this paper derived the computational cost and the error analysis of the proposed method.
Conclusion
The following conclusions were drawn from this research.

• 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.
• The presented error analysis and solved problems show capability and the superiority of this method to other existed methods../files/site1/files/52/1.pdf