Numerical Solution of System of Fredholm-Hammerstein Integral Equations using Modification of Hat Functions

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 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.
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