Compact Finite Differences Method for FitzHugh-Nagumo Equation

AKKOYUNLU C.

Universal Journal of Mathematics and Applications, cilt.2, sa.4, ss.180-187, 2019 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.32323/ujma.901792
  • Dergi Adı: Universal Journal of Mathematics and Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.180-187
  • Anahtar Kelimeler: compact finite differences method, FitzHugh-Nagumo equation
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

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.