New approach for numerical solution of Fredholm integral equations system of the second kind by using an expansion method

ABSTRACT: An expansion method is used for treatment of second kind Fredholm integral equations system. This method gives an analytic solution for the system. The method reduces the system of integral equations to a linear system of ordinary differential equations. After constructing boundary conditions, this system reduces to a system of equations that can be solved easily with any of the usual methods. Finally, for showing the efficiency of the method we use some numerical examples.