On the comparative study integro – Differential equations using difference numerical methods

Abstract

In this paper, we use the Adomian decomposition Sumudu transform method with the Pade approximant (ADST - PA method) to obtain closed form solutions of nonlinear integro-differential equations, and perform a comparative study between the present method and three different numerical methods, namely; the Adomian decomposition Sumudu transform method (ADSTM)), the homotopy perturbation method (HPM), and the variational iteration method (VIM). Our results show that in comparison with other existing methods, the (ADST - PA method) gives a better approximation for solving a large number of nonlinear integro-differential equations than existing methods. Keywords: Adomian decomposition Sumudu transform method, Homotopy perturbation method, Pade approximant, Variational iteration method, Integro-differential equation