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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2021, Volume 24, Number 1, Pages 103–116
DOI: https://doi.org/10.15372/SJNM20210108 (Mi sjvm768) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the numerical solution of the generalized Burgers-Huxley equation by Lie-Trotter splitting method

Y. Čiček, S. Korkut

Department of Engineering Sciences, Faculty of Engineering and Architecture, Izmir Katip Celebi University, Izmir, Turkey
Full-text PDF (1237 kB) Citations (3)
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DOI: https://doi.org/10.15372/SJNM20210108
Abstract: In this paper, the Lie-Trotter splitting method (LSM) is used to solve the generalized Burgers-Huxley equation (GBHE) numerically. We first establish the local error bounds of approximate solutions of the GBHE with the help of the theory of differential operators in a Banach space. Then we prove the global convergence by using a telescoping identity. At the end, the accuracy of the method is provided by numerical results which are compared with earlier studies.
Key words: convergence analysis, Burgers-Huxley equation, Lie-Trotter splitting method, nonlinear differential equations, Sobolev spaces.
Received: 19.06.2019
Revised: 11.12.2019
Accepted: 21.10.2020
English version:
Numerical Analysis and Applications, 2021, Volume 14, Issue 1, Pages 90–102
DOI: https://doi.org/10.1134/S1995423921010080
Bibliographic databases:
Document Type: Article
MSC: 65L05, 65P40, 65L20
Language: Russian
Citation: Y. Čiček, S. Korkut, “On the numerical solution of the generalized Burgers-Huxley equation by Lie-Trotter splitting method”, Sib. Zh. Vychisl. Mat., 24:1 (2021), 103–116; Num. Anal. Appl., 14:1 (2021), 90–102
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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