Araştırma Makalesi

On Two Efficient Numerical Schemes for Nonlinear Burgers’ Type Equations

Cilt: 12 Sayı: 1 30 Haziran 2022
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On Two Efficient Numerical Schemes for Nonlinear Burgers’ Type Equations

Öz

In this work, we investigate two finite difference schemes to solve for nonlinear Burgers’ type equations. In the first stage, we define the numerical methods to solve the equations. Secondly, numerical solutions are obtained and compared with the exact solutions. In comparison with other defined results in the literature, it is deduced in a conclusive way that the methods are reliable and convenient alternative methods for solving for nonlinear Burgers’ type equations.

Anahtar Kelimeler

Kaynakça

  1. Referans1 Wang, X. Y., Zhu Z. S., Lu, Y. K., Solitary wave solutions of the generalized Burgers-Huxley equation, J. Phys. A: Math. Gen., 23, 271-274, 1990.
  2. Referans2 Hashim, I., Noorani, M. S. M., Batiha, B., A note on the Adomian decomposition method for the generalized Huxley Equation, Appl. Math. Comput., 181, 1439-1445, 2006.
  3. Referans3 Sari, M., Gürarslan, G., Zeytinoglu, A., High-order finite difference schemes for numerical solutions of the generalized Burgers-Huxley equation, Numer. Methods Partial Differential Eq., 27, 1313-1326, 2010.
  4. Referans4 Hemida, K., Mohamed, M. S., Numerical simulation of the generalized Huxley equation by homotopy analysis method, J. Appl. Func. Analysis, 5, 344-350, 2010.
  5. Referans5 Hemida, K., Mohamed, M. S., Application of homotopy analysis method to fractional order generalized Huxley equation, J. Appl. Analysis, 7, 367-372, 2012.
  6. Referans6 Hashemi, S. H., Daniali, H. R. M., Ganji, D. D., Numerical simulation of the generalized Huxley equation by He's homotopy perturbation method, Appl. Math. Comput., 192, 157-161, 2007.
  7. Referans7 Batiha, B., Noorani, M. S. M., Hashim, I., Numerical simulation of the generalized Huxley equation by He's variational iteration method, Appl. Math. Comput., 186, 1322-1325, 2007.
  8. Referans8 İnan, B., A new numerical scheme for the generalized Huxley equation, Bulletin of Math. Sci. Appl., 16, 105-111, 2016.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Uygulamalı Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2022

Gönderilme Tarihi

24 Aralık 2021

Kabul Tarihi

13 Mayıs 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 12 Sayı: 1

Kaynak Göster

APA
Inan, B. (2022). On Two Efficient Numerical Schemes for Nonlinear Burgers’ Type Equations. Adıyaman University Journal of Science, 12(1), 70-87. https://doi.org/10.37094/adyujsci.1041652
AMA
1.Inan B. On Two Efficient Numerical Schemes for Nonlinear Burgers’ Type Equations. ADYU J SCI. 2022;12(1):70-87. doi:10.37094/adyujsci.1041652
Chicago
Inan, Bilge. 2022. “On Two Efficient Numerical Schemes for Nonlinear Burgers’ Type Equations”. Adıyaman University Journal of Science 12 (1): 70-87. https://doi.org/10.37094/adyujsci.1041652.
EndNote
Inan B (01 Haziran 2022) On Two Efficient Numerical Schemes for Nonlinear Burgers’ Type Equations. Adıyaman University Journal of Science 12 1 70–87.
IEEE
[1]B. Inan, “On Two Efficient Numerical Schemes for Nonlinear Burgers’ Type Equations”, ADYU J SCI, c. 12, sy 1, ss. 70–87, Haz. 2022, doi: 10.37094/adyujsci.1041652.
ISNAD
Inan, Bilge. “On Two Efficient Numerical Schemes for Nonlinear Burgers’ Type Equations”. Adıyaman University Journal of Science 12/1 (01 Haziran 2022): 70-87. https://doi.org/10.37094/adyujsci.1041652.
JAMA
1.Inan B. On Two Efficient Numerical Schemes for Nonlinear Burgers’ Type Equations. ADYU J SCI. 2022;12:70–87.
MLA
Inan, Bilge. “On Two Efficient Numerical Schemes for Nonlinear Burgers’ Type Equations”. Adıyaman University Journal of Science, c. 12, sy 1, Haziran 2022, ss. 70-87, doi:10.37094/adyujsci.1041652.
Vancouver
1.Bilge Inan. On Two Efficient Numerical Schemes for Nonlinear Burgers’ Type Equations. ADYU J SCI. 01 Haziran 2022;12(1):70-87. doi:10.37094/adyujsci.1041652