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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 7, Page 1238
DOI: https://doi.org/10.31857/S0044466923070104 (Mi zvmmf11594) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical physics

A modied Runge–Kutta scheme for the generalized Benjamin–Bona–Mahony–Burgers' equation

Qiubin Xua, Yan Liuyb

a School of Mathematics, Nanjing Audit University, 211815 Nanjing, China
b School of Mathematics and Statistics, Jiangsu Normal University, 221116 Xuzhou, China
Citations (1)
DOI: https://doi.org/10.31857/S0044466923070104
Abstract: This paper presents a modified Runge–Kutta (MRK) scheme for the generalized Benjamin–Bona–Mahony–Burgers equation. The MRK method separate this equation into two parts which apply different finite difference scheme in space, and finally use fourth-order Runge–Kutta method in time.The scheme is conditionally stable and convergent with order of $O(\tau^4+h^2)$, the Comparisons of the existing numerical methods demonstrate that this scheme is capable of high accuracy and stability.
Key words: generalized Benjamin–Bona–Mahony–Burgers equation, MRK scheme, stability, difference scheme, nonlinear.
Received: 10.01.2023
Revised: 10.01.2023
Accepted: 30.03.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 7, Pages 1362–1370
DOI: https://doi.org/10.1134/S0965542523070175
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: English
Citation: Qiubin Xu, Yan Liuy, “A modied Runge–Kutta scheme for the generalized Benjamin–Bona–Mahony–Burgers' equation”, Zh. Vychisl. Mat. Mat. Fiz., 63:7 (2023), 1238; Comput. Math. Math. Phys., 63:7 (2023), 1362–1370
Citation in format AMSBIB
\Bibitem{XuLiu23}
\by Qiubin~Xu, Yan~Liuy
\paper A modied Runge--Kutta scheme for the generalized Benjamin--Bona--Mahony--Burgers' equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 7
\pages 1238
\mathnet{http://mi.mathnet.ru/zvmmf11594}
\crossref{https://doi.org/10.31857/S0044466923070104}
\elib{https://elibrary.ru/item.asp?id=54238543}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 7
\pages 1362--1370
\crossref{https://doi.org/10.1134/S0965542523070175}
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  • https://www.mathnet.ru/eng/zvmmf/v63/i7/p1238
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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