Compact Finite Differences Method for FitzHugh-Nagumo Equation

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AKKOYUNLU C.

Universal Journal of Mathematics and Applications, vol.2, no.4, pp.180-187, 2019 (Scopus)

• Publication Type: Article / Article
• Volume: 2 Issue: 4
• Publication Date: 2019
• Doi Number: 10.32323/ujma.901792
• Journal Name: Universal Journal of Mathematics and Applications
• Journal Indexes: Scopus
• Page Numbers: pp.180-187
• Keywords: compact finite differences method, FitzHugh-Nagumo equation
• Istanbul Kültür University Affiliated: Yes

Abstract

In this paper, we developed the compact finite differences method to find approximate solutions for the FitzHugh-Nagumo (F-N) equations. To the best of our knowledge, until now there is no compact finite difference solutions have been reported for the FitzHugh-Nagumo equation arising in gene propagation and model. We have given numerical example to demonstrate the validity and applicability.