Araştırma Makalesi

A New Method for Solving Fisher-Type Equations

Cilt: 11 Sayı: 2 29 Kasım 2024
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A New Method for Solving Fisher-Type Equations

Öz

In this article, we implemented the Fourier Adomian Decomposition Method (FADM) which depends on the Fourier transform method and the Adomian decomposition method to solve Fisher-type equations. Besides, two examples are represented to show the accuracy and validity of the proposed method.

Anahtar Kelimeler

Kaynakça

  1. Fisher, R. (1937). The wave of advance of advantageous genes, Annals of eugenics, 7, 355-369.
  2. Kolmogorov, A., Petrovsky, L. & Piskunov, N. (1937). An investigation of the diffusion equation combined with an increase in mass and its application to a biological problem, Bull Uni Moscow Ser Int A, 1, 1-26.
  3. Ali, A., Humaira, L. & Shah, K. (2018). Analytical solution of general Fisher’s equation by using Laplace Adomian decomposition method, J. Pure Appl. Math, 2, 1-4.
  4. Yıldırım, K., Ibis, B. & Bayram, M. (2012) New solutions of the nonlinear Fisher type equations by the reduced differential transform, Nonlinear Sci Lett A, 3, 29-36.
  5. Ağırseven, D. & Öziş, T. (2010) An analytical study for Fisher type equations by using homotopy perturbation method, Computers & Mathematics with Applications, 60, 602-609.
  6. Bhalekar, S. & Patade, J. (2016) An analytical solution of fishers equation using decomposition method, Am. J. Comput. Appl. Math, 6, 123-127.
  7. Zhou, X. (2008) Exp-function method for solving Fisher's equation. InJournal of Physics: Conference Series, 96, 012063.
  8. Kudryashov, N. & Zakharchenko, A. (2014). A note on solutions of the generalized Fisher equation, Applied Mathematics Letters, 32, 53-56.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Uygulamalı Matematik (Diğer)

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

29 Kasım 2024

Gönderilme Tarihi

17 Haziran 2023

Kabul Tarihi

16 Aralık 2023

Yayımlandığı Sayı

Yıl 2024 Cilt: 11 Sayı: 2

Kaynak Göster

APA
Düz, M., & Issa, A. (2024). A New Method for Solving Fisher-Type Equations. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, 11(2), 270-275. https://doi.org/10.35193/bseufbd.1315932
AMA
1.Düz M, Issa A. A New Method for Solving Fisher-Type Equations. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi. 2024;11(2):270-275. doi:10.35193/bseufbd.1315932
Chicago
Düz, Murat, ve Ahmad Issa. 2024. “A New Method for Solving Fisher-Type Equations”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 11 (2): 270-75. https://doi.org/10.35193/bseufbd.1315932.
EndNote
Düz M, Issa A (01 Kasım 2024) A New Method for Solving Fisher-Type Equations. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 11 2 270–275.
IEEE
[1]M. Düz ve A. Issa, “A New Method for Solving Fisher-Type Equations”, Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, c. 11, sy 2, ss. 270–275, Kas. 2024, doi: 10.35193/bseufbd.1315932.
ISNAD
Düz, Murat - Issa, Ahmad. “A New Method for Solving Fisher-Type Equations”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 11/2 (01 Kasım 2024): 270-275. https://doi.org/10.35193/bseufbd.1315932.
JAMA
1.Düz M, Issa A. A New Method for Solving Fisher-Type Equations. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi. 2024;11:270–275.
MLA
Düz, Murat, ve Ahmad Issa. “A New Method for Solving Fisher-Type Equations”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, c. 11, sy 2, Kasım 2024, ss. 270-5, doi:10.35193/bseufbd.1315932.
Vancouver
1.Murat Düz, Ahmad Issa. A New Method for Solving Fisher-Type Equations. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi. 01 Kasım 2024;11(2):270-5. doi:10.35193/bseufbd.1315932