Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 869614, 7 pages
doi:10.1155/2008/869614
Research Article
Applying He's Variational Iteration Method for Solving Differential-Difference Equation
Department of Mathematics, Faculty of Science, Ege University, 35100 Bornova-İzmir, Turkey
Received 31 January 2008; Revised 1 April 2008; Accepted 14 May 2008
Academic Editor: Oleg Gendelman
Copyright © 2008 Ahmet Yıldırım. 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 extend He's variational iteration method (VIM) to find the approximate solutions for nonlinear differential-difference equation. Simple but typical examples are applied to illustrate the validity and great potential of the generalized variational iteration method in solving nonlinear differential-difference equation. The results reveal that the method is very effective and simple. We find the extended method for nonlinear differential-difference equation is of good
accuracy.