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Abstract and Applied Analysis
Volume 2012, Article ID 762516, 13 pages
http://dx.doi.org/10.1155/2012/762516
Research Article

Numerical Simulation of the FitzHugh-Nagumo Equations

1Department of Mathematics, Faculty of Education (AL-Arish), Suez Canal University, AL-Arish 45111, Egypt
2Department of Mathematics, Bisha Faculty of Science and Arts, King Khalid University, P.O. Box. 344, Bisha, 61922, Saudi Arabia

Received 2 March 2012; Accepted 1 June 2012

Academic Editor: Irena Rachůnková

Copyright © 2012 A. A. Soliman. 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 variational iteration method and Adomian decomposition method are applied to solve the FitzHugh-Nagumo (FN) equations. The two algorithms are illustrated by studying an initial value problem. The obtained results show that only few terms are required to deduce approximated solutions which are found to be accurate and efficient.