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