Application of semi‐analytic methods for the Fitzhugh–Nagumo equation,which models the transmission of nerve impulses |
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| Authors: | Mehdi Dehghan Jalil Manafian Heris Abbas Saadatmandi |
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| Institution: | 1. Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15914, Iran;2. Department of Mathematics, Faculty of Science, University of Kashan, Kashan, Iran |
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| Abstract: | In this work, the homotopy perturbation method (HPM), the variational iteration method (VIM) and the Adomian decomposition method (ADM) are applied to solve the Fitzhugh–Nagumo equation. Numerical solutions obtained by these methods when compared with the exact solutions reveal that the obtained solutions produce high accurate results. The results show that the HPM, the VIM and the ADM are of high accuracy and are efficient for solving the Fitzhugh–Nagumo equation. Also the results demonstrate that the introduced methods are powerful tools for solving the nonlinear partial differential equations. Copyright © 2010 John Wiley & Sons, Ltd. |
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| Keywords: | series solution techniques homotopy perturbation method (HPM) variational iteration method (VIM) Adomian decom‐position method (ADM) Fitzhugh– Nagumo equation semi‐analytical techniques |
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