A Modified Runge-Kutta Scheme for the Generalized Benjamin-Bona-Mahony-Burgers Equation

被引：1
|
作者：
Xu, Qiubin [1 ]
Liu, Yan [2 ]
机构：
[1] Nanjing Audit Univ, Sch Math, Nanjing 211815, Peoples R China
[2] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2023年 / 63卷 / 07期
关键词：
generalized Benjamin-Bona-Mahony-Burgers equation; MRK scheme; stability; difference scheme; nonlinear;
D O I：
10.1134/S0965542523070175
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：1362 / 1370
页数：9
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