Sitong Dong, Xin Zhang, Yuanfeng Jin
Abstract:
We construct a two-level implicit nonlinear finite difference scheme for the initial
boundary value problem of Rosenau-Burgers equation based on the method of order
reduction. We discuss conservation, unique solvability, and convergence for the
difference scheme. The new scheme is shown to be second-order convergent in time
and space. Finally, numerical simulations illustrate our theoretical analysis.
Submitted December 2, 2023. Published July 4, 2024.
Math Subject Classifications: 65M06, 65M12.
Key Words: Rosenau-Burgers equation; nonlinearized difference scheme; conservation law; convergence.
DOI: 10.58997/ejde.2024.38
Show me the PDF file (516 KB), TEX file for this article.
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Sitong Dong Department of Mathematics Yanbian University Yanji 133002, China email: 394018165@qq.com |
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Xin Zhang Department of Mathematics Science Harbin Engineering University Harbin 150000, China email: zhangxin2022@hrbeu.edu.cn |
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Yuanfeng Jin Department of Mathematics Yanbian University Yanji 133002, China email: yfkim@ybu.edu.cn |
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