The solution of linear and nonlinear systems of Volterra functional equations using Adomian-Pade technique

The purpose of this study is to implement Adomian-Pade (Modified Adomian-Pade) technique, which is a combination of Adomain decomposition method (Modified Adomain decomposition method) and Pade approximation, for solving linear and nonlinear systems of Volterra functional equations. The results obtained by using, Adomian-Pade (Modified Adomian-Pade) technique, arc compared to those obtained by using Adomian decomposition method (Modified Adomian decomposition method) alone. The numerical results, demonstrate that ADM PADE (MADM PADE) technique, gives the approximate solution with faster convergence rate and higher accuracy than using the standard ADM (MADM). (C) 2007 Elsevier Ltd. All rights reserved.