jsat

Journal of Studies in Advanced Technologies

2980-2695

Ardahan University

10.5281/zenodo.8074822

Numerical and Computational Mathematics (Other)

Sayısal ve Hesaplamalı Matematik (Diğer)

Investigation of Hyperbolic Type Solutions of the Fitzhugh-Nagumo Model in Neuroscience

Sinirbilimde Fitzhugh-Nagumo Modelinin Hiperbolik Tip Çözümlerinin İncelenmesi

https://orcid.org/0000-0002-9297-6873

Durur

Hülya

Ardahan University

https://orcid.org/0009-0004-6277-1473

Aydın

Aleyna

https://orcid.org/0009-0004-0446-2891

Arslantürk

Reyhan

06 30 2023

1 1 11 16 04 20 2023 05 28 2023

2023

Journal of Studies in Advanced Technologies

This article aims to obtain analytical solutions of the Fitzhugh – Nagumo (FN) model, which has an important place in neuroscience. The 1/G' - expansion method is used to obtain the solutions. Hyperbolic type travelling wave solutions are produced by using the 1/G'- expansion method, which is an effective and efficient method in solving nonlinear partial differential equations (NLPDEs). Then 3D, 2D and contour graphs are presented using a computer program.

Bu makale sinirbilimde önemli bir yere sahip olan Fitzhugh – Nagumo (FN) modelinin analitik çözümlerini elde etmeyi amaçlamaktadır. Çözümleri elde etmek için 1/G'- açılım yöntemi kullanılır. Lineer olmayan kısmi diferansiyel denklemlerin (NLPDE) çözümünde etkili ve verimli bir yöntem olan 1/G'-açılım yöntemi kullanılarak hiperbolik tip ilerleyen dalga çözümleri üretilmektetir. Daha sonra bir bilgisayar programı kullanılarak 3boyutlu, 2boyutlu ve kontur grafikleri sunulur.

Fitzhugh – Nagumo model hyperbolic type solution 1/G'-expansion method.

Fitzhugh – Nagumo modeli hiperbolik tip çözüm 1/G'-açılım yöntemi.

Yok

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