APPROXIMATE SOLUTIONS TAYLOR POLYNOMIAL TWO VARIABLE OF NONLINEAR VOLTTERA-FREDHOLM INTEGRAL EQUATION SYSTEMS

In this paper we propose a new approximate method to solve voltera-Fredholm equation systems by used of Taylor series two variable to solve voltera-Fredholm equation systems This method transforms the integral system into the matrix equation with the help of Taylor series.By merging these results, a new system which corresponds to a system of linear algebraic equations is obtained.The solution of this system yields the Taylor coefficients.Also,this method gives the analytic solution when the exact solutions are polynomials.so as to show this capabil-ity and robustness,some systems of V-F-IE are solved by the presented method in order to obtain their approximate solutions.