Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 824385, 10 pages
doi:10.1155/2009/824385
Research Article

Application of Variational Iteration Method to Fractional Hyperbolic Partial Differential Equations

Fadime Dal

Department of Mathematics, Ege University, Izmir, 35100 Bornova, Turkey

Received 4 May 2009; Revised 16 July 2009; Accepted 6 October 2009

Academic Editor: Jihuan Huan He

Copyright © 2009 Fadime Dal. 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 solution of the fractional hyperbolic partial differential equation is obtained by means of the variational iteration method. Our numerical results are compared with those obtained by the modified Gauss elimination method. Our results reveal that the technique introduced here is very effective, convenient, and quite accurate to one-dimensional fractional hyperbolic partial differential equations. Application of variational iteration technique to this problem has shown the rapid convergence of the sequence constructed by this method to the exact solution.