期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 33, 期 11, 页码 1384-1398出版社
WILEY-BLACKWELL
DOI: 10.1002/mma.1329
关键词
series solution techniques; homotopy perturbation method (HPM); variational iteration method (VIM); Adomian decomposition method (ADM); Fitzhugh-Nagumo equation; semi-analytical techniques
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 (C) 2010 John Wiley & Sons, Ltd.
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