NUMERICAL STUDY OF NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS BY ADOMIAN'S METHOD†

Abstract

The main purpose of this paper is to consider Adomian's decomposition method in non-linear Volterra integro-differential equations. The advantages of this method, compared with the recent numerical techniques (in particular the implicitly linear collocation methods) , and the convergence of Adomian's method applied to such nonlinear integro-differential equations are discussed. Finally, by using various examples, the accuracy of this method will be shown