An operational approach with Pade approximant for the numerical solution of non-linear Fredholm integro-differential equations

In this paper we extend the operational Adomian–Tau method with Pade approximant for the numerical solution of non-linear Fredholm integro-differential equations. To this end, we will present our method based on two simple matrices. Then unknown solution of the considered equation will be determined by using computational aspects of these matrices. Also we will use Pade approximant to improve accuracy of the method. Finally we demonstrate the method by numerical examples.