Asymptotic Analysis and Error Estimate for Rosenau-Burgers Equation
Joint Authors
Jiao, Jianjun
Liu, Zixin
Lin, Fubiao
Zhang, Jun
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this work, the asymptotic stability result for Rosenau-Burgers equation is established, under appropriate assumptions on steady state eigenvalue problem and the forcing function.
In addition, we propose and analyze a linearized numerical method for solving this nonlinear Rosenau-Burgers equation.
We prove that the numerical scheme is unconditionally stable, and the error estimate shows that the numerical method is in the order of O(Δt2+N2-m), where Δt, N, and m are, respectively, step of time, polynomial degree, and regularity of u.
Numerical examples are illustrated to verify the theoretical results.
American Psychological Association (APA)
Zhang, Jun& Liu, Zixin& Lin, Fubiao& Jiao, Jianjun. 2019. Asymptotic Analysis and Error Estimate for Rosenau-Burgers Equation. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1200783
Modern Language Association (MLA)
Zhang, Jun…[et al.]. Asymptotic Analysis and Error Estimate for Rosenau-Burgers Equation. Mathematical Problems in Engineering No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1200783
American Medical Association (AMA)
Zhang, Jun& Liu, Zixin& Lin, Fubiao& Jiao, Jianjun. Asymptotic Analysis and Error Estimate for Rosenau-Burgers Equation. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1200783
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1200783