Asymptotic Analysis and Error Estimate for Rosenau-Burgers Equation

Jun Zhang, Zixin Liu, Fubiao Lin and Jianjun Jiao

Mathematical Problems in Engineering, 2019, vol. 2019, 1-8

Abstract:

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 , where , , and are, respectively, step of time, polynomial degree, and regularity of . Numerical examples are illustrated to verify the theoretical results.

Date: 2019
References: Add references at CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2019/9673514.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2019/9673514.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9673514

DOI: 10.1155/2019/9673514

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().