Abstract and Applied Analysis
Volume 2012 (2012), Article ID 960289, 16 pages
http://dx.doi.org/10.1155/2012/960289
Research Article

On Spectral Homotopy Analysis Method for Solving Linear Volterra and Fredholm Integrodifferential Equations

Z. Pashazadeh Atabakan, A. Kılıçman, and A. Kazemi Nasab

Department of Mathematics, Universiti Putra Malaysia (UPM), Selangor, 43400 Serdang, Malaysia

Received 12 June 2012; Revised 19 September 2012; Accepted 4 October 2012

Academic Editor: Lishan Liu

Copyright © 2012 Z. Pashazadeh Atabakan et al. 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

A modification of homotopy analysis method (HAM) known as spectral homotopy analysis method (SHAM) is proposed to solve linear Volterra integrodifferential equations. Some examples are given in order to test the efficiency and the accuracy of the proposed method. The SHAM results show that the proposed approach is quite reasonable when compared to SHAM results and exact solutions.