About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 621019, 5 pages
http://dx.doi.org/10.1155/2013/621019
Research Article

A Comparison between Adomian Decomposition and Tau Methods

1Department of Mathematics, Science Faculty, Celal Bayar University, 45030 Manisa, Turkey
2Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkey

Received 22 February 2013; Revised 7 June 2013; Accepted 8 June 2013

Academic Editor: Adem Kılıcman

Copyright © 2013 Necdet Bildik and Mustafa Inc. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present a comparison between Adomian decomposition method (ADM) and Tau method (TM) for the integro-differential equations with the initial or the boundary conditions. The problem is solved quickly, easily, and elegantly by ADM. The numerical results on the examples are shown to validate the proposed ADM as an effective numerical method to solve the integro-differential equations. The numerical results show that ADM method is very effective and convenient for solving differential equations than Tao method.