مشخصات پژوهش

Abstract. In this paper, a special approximate method is presented to solve system of ordinary differential equations. In this method, the given problem is first converted into an integral equation that includes Volterra and Fredholm parts. Then special successive approximation method are performed in Volterra part. Due to the appearance of the factorial factor in the denominator of its kernel, the Volterra part tends to zero in the next iterations. This causes us to discard Volterra’s sentence as an error of method . Finally, the analytical-approximate solution of the problem is obtained by solving the resulting equation, which is the second type of