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A Modified Runge–Kutta Scheme for the Generalized Benjamin–Bona–Mahony–Burgers Equation
- Authors: Xu Q.1, Liu Y.2
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Affiliations:
- School of Mathematics, Nanjing Audit University
- School of Mathematics and Statistics, Jiangsu Normal University
- Issue: Vol 63, No 7 (2023)
- Pages: 1238
- Section: Mathematical physics
- URL: https://edgccjournal.org/0044-4669/article/view/665022
- DOI: https://doi.org/10.31857/S0044466923070189
- EDN: https://elibrary.ru/ZXXETN
- ID: 665022
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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 (тау4+h2), the Comparisons of the existing numerical methods demonstrate that this scheme is capable of high accuracy and stability.
About the authors
Qiubin Xu
School of Mathematics, Nanjing Audit University
Email: xqb0209@nau.edu.cn
211815, Nanjing, China
Yan Liu
School of Mathematics and Statistics, Jiangsu Normal University
Author for correspondence.
Email: xqb0209@nau.edu.cn
221116, Xuzhou, China
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