Abstract and Applied Analysis
Volume 2013 (2013), Article ID 704137, 6 pages
http://dx.doi.org/10.1155/2013/704137
Research Article

Perturbation-Iteration Method for First-Order Differential Equations and Systems

Mehmet Şenol,1 İhsan Timuçin Dolapçı,2 Yiğit Aksoy,2 and Mehmet Pakdemirli2

1Department of Mathematics, Nevsehir University, 50300 Nevsehir, Turkey
2Department of Mechanical Engineering, Celal Bayar University, Muradiye, 45140 Manisa, Turkey

Received 16 March 2013; Revised 18 April 2013; Accepted 19 April 2013

Academic Editor: Yisheng Song

Copyright © 2013 Mehmet Şenol 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

The previously developed new perturbation-iteration algorithm has been applied to differential equation systems for the first time. The iteration algorithm for systems is developed first. The algorithm is tested for a single equation, coupled two equations, and coupled three equations. Solutions are compared with those of variational iteration method and numerical solutions, and a good agreement is found. The method can be applied to differential equation systems with success.