Araştırma Makalesi
BibTex RIS Kaynak Göster

A New Method for Solving Fisher-Type Equations

Yıl 2024, , 270 - 275, 29.11.2024
https://doi.org/10.35193/bseufbd.1315932

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.

Kaynakça

  • Fisher, R. (1937). The wave of advance of advantageous genes, Annals of eugenics, 7, 355-369.
  • 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.
  • 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.
  • 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.
  • Ağırseven, D. & Öziş, T. (2010) An analytical study for Fisher type equations by using homotopy perturbation method, Computers & Mathematics with Applications, 60, 602-609.
  • Bhalekar, S. & Patade, J. (2016) An analytical solution of fishers equation using decomposition method, Am. J. Comput. Appl. Math, 6, 123-127.
  • Zhou, X. (2008) Exp-function method for solving Fisher's equation. InJournal of Physics: Conference Series, 96, 012063.
  • Kudryashov, N. & Zakharchenko, A. (2014). A note on solutions of the generalized Fisher equation, Applied Mathematics Letters, 32, 53-56.
  • Wazwaz, A. & Gorguis, A. (2004) An analytic study of Fisher's equation by using Adomian decomposition method, Applied Mathematics and Computation, 154, 609-620.
  • Aminikhah, H., Mehrdoust, F. & Jamalian, A. (2012) A new efficient method for nonlinear Fisher-type equations, Journal of Applied Mathematics, 1.
  • Boggess, A. & Narcowich, F. (2015) A first course in wavelets with Fourier analysis, John Wiley & Sons.
  • Bracewell, R. (1986) The Fourier transform and its applications, New York: McGraw-Hill, 31999, 267-272.
  • Düz, M., Issa, A. & Avezov, S. (2022) A new computational technique for Fourier transforms by using the Differential transformation method, Bulletin of International Mathematical Virtual Institute, 12 (2), 287-295.

Fisher Tipi Denklemleri Çözmek İçin Yeni Bir Metod

Yıl 2024, , 270 - 275, 29.11.2024
https://doi.org/10.35193/bseufbd.1315932

Öz

Bu makalede, Fisher tipi denklemleri çözmek için Fourier dönüşüm metodu ve Adomian Ayrıştırma Metoduna bağlı Fourier Adomian ayrıştırma metodunu (FADM) uyguladık. Ayrıca önerilen metodun dogrulugunu göstermek için iki örnek verildi.

Kaynakça

  • Fisher, R. (1937). The wave of advance of advantageous genes, Annals of eugenics, 7, 355-369.
  • 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.
  • 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.
  • 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.
  • Ağırseven, D. & Öziş, T. (2010) An analytical study for Fisher type equations by using homotopy perturbation method, Computers & Mathematics with Applications, 60, 602-609.
  • Bhalekar, S. & Patade, J. (2016) An analytical solution of fishers equation using decomposition method, Am. J. Comput. Appl. Math, 6, 123-127.
  • Zhou, X. (2008) Exp-function method for solving Fisher's equation. InJournal of Physics: Conference Series, 96, 012063.
  • Kudryashov, N. & Zakharchenko, A. (2014). A note on solutions of the generalized Fisher equation, Applied Mathematics Letters, 32, 53-56.
  • Wazwaz, A. & Gorguis, A. (2004) An analytic study of Fisher's equation by using Adomian decomposition method, Applied Mathematics and Computation, 154, 609-620.
  • Aminikhah, H., Mehrdoust, F. & Jamalian, A. (2012) A new efficient method for nonlinear Fisher-type equations, Journal of Applied Mathematics, 1.
  • Boggess, A. & Narcowich, F. (2015) A first course in wavelets with Fourier analysis, John Wiley & Sons.
  • Bracewell, R. (1986) The Fourier transform and its applications, New York: McGraw-Hill, 31999, 267-272.
  • Düz, M., Issa, A. & Avezov, S. (2022) A new computational technique for Fourier transforms by using the Differential transformation method, Bulletin of International Mathematical Virtual Institute, 12 (2), 287-295.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Uygulamalı Matematik (Diğer)
Bölüm Makaleler
Yazarlar

Murat Düz 0000-0003-2387-4045

Ahmad Issa 0000-0001-7495-3443

Yayımlanma Tarihi 29 Kasım 2024
Gönderilme Tarihi 17 Haziran 2023
Kabul Tarihi 16 Aralık 2023
Yayımlandığı Sayı Yıl 2024

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