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

Ahmet Yıldırım

Department of Mathematics, Faculty of Science, Ege University, 35100 Bornova-İzmir, Turkey

Received 31 January 2008; Revised 1 April 2008; Accepted 14 May 2008

Recommended by Oleg Gendelman

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.