Research Article

The Approximate Solution of Singularly Perturbed Burger-Huxley Equation with RDTM

Volume: 10 Number: 3 September 17, 2021
TR

The Approximate Solution of Singularly Perturbed Burger-Huxley Equation with RDTM

Abstract

In this study, reduced differential transform method (RDTM) is proposed to solve singularly perturbed Burger-Huxley partial differential equation. Firstly, this equation is transformed to algebraic equation. Then, recurrence relation and differential transform coefficients are obtained. Finally, highly accurate approximate solutions of this equation are found for three examples given.

Keywords

References

  1. Abazari R., Abazari N. 2013. Numerical Study of Burgers–Huxley Equations via Reduced Differential Transform Method. Comp. Appl. Math., 32 (1): 1-17.
  2. Az-Zo'bi E.A. 2014. On the Reduced Differential Transform Method and its Application to the Generalized Burgers-Huxley Equation. Applied Mathematical Sciences, 8 (177): 8823-8831.
  3. Hashim I., Noorani M.S.M., Batiha B. 2006. A note on the Adomian Decomposition Method for the Generalized Huxley Equation. Applied Mathematics and Computation, 181: 1439–1445.
  4. Ismail H.N.A., Raslan K., Abd Rabboh A.A. 2004. Adomian Decomposition Method for Burger’s–Huxley and Burger’s–Fisher Equations. Applied Mathematics and Computation, 159: 291-301.
  5. Liu L-B., Liang Y., Zhang J. 2020. A Robust Adaptive Grid Method for Singularly Perturbed Burger-Huxley Equations. Electronic Research Archive, 28 (4): 1439-1457.
  6. Hashemi M.S., Baleanu D., Barghi H. 2016. Singularly perturbed Burgers-Huxley Equation by a Meshless Method. Thermal Science, 21 (6): 2689-2698.
  7. Yefımova O.Y., Kudryashov N.A. 2004. Exact Solutions of the Burgers-Huxley Equation. J. Appl. Maths. Mechs., 68 (3): 413-420.
  8. Appadu A.R., Inan B., Olatunji Tijani Y. 2019. Comparative Study of Some Numerical Methods for the Burgers–Huxley Equation. Symmetry, 11 (11).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

September 17, 2021

Submission Date

March 10, 2021

Acceptance Date

June 10, 2021

Published in Issue

Year 2021 Volume: 10 Number: 3

APA
Arslan, D. (2021). The Approximate Solution of Singularly Perturbed Burger-Huxley Equation with RDTM. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 10(3), 703-709. https://izlik.org/JA39HX88GM
AMA
1.Arslan D. The Approximate Solution of Singularly Perturbed Burger-Huxley Equation with RDTM. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2021;10(3):703-709. https://izlik.org/JA39HX88GM
Chicago
Arslan, Derya. 2021. “The Approximate Solution of Singularly Perturbed Burger-Huxley Equation With RDTM”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 10 (3): 703-9. https://izlik.org/JA39HX88GM.
EndNote
Arslan D (September 1, 2021) The Approximate Solution of Singularly Perturbed Burger-Huxley Equation with RDTM. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 10 3 703–709.
IEEE
[1]D. Arslan, “The Approximate Solution of Singularly Perturbed Burger-Huxley Equation with RDTM”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 10, no. 3, pp. 703–709, Sept. 2021, [Online]. Available: https://izlik.org/JA39HX88GM
ISNAD
Arslan, Derya. “The Approximate Solution of Singularly Perturbed Burger-Huxley Equation With RDTM”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 10/3 (September 1, 2021): 703-709. https://izlik.org/JA39HX88GM.
JAMA
1.Arslan D. The Approximate Solution of Singularly Perturbed Burger-Huxley Equation with RDTM. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2021;10:703–709.
MLA
Arslan, Derya. “The Approximate Solution of Singularly Perturbed Burger-Huxley Equation With RDTM”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 10, no. 3, Sept. 2021, pp. 703-9, https://izlik.org/JA39HX88GM.
Vancouver
1.Derya Arslan. The Approximate Solution of Singularly Perturbed Burger-Huxley Equation with RDTM. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi [Internet]. 2021 Sep. 1;10(3):703-9. Available from: https://izlik.org/JA39HX88GM

Bitlis Eren University

Journal of Science Editor

Bitlis Eren University Graduate Institute

Bes Minare Mah. Ahmet Eren Bulvari, Merkez Kampus, 13000 BITLIS

E-mail: fbe@beu.edu.tr