Affiliation:
1. Computational Mathematics Research Center, Guizhou University of Finance and Economics, Guiyang, Guizhou 550025, China
2. School of Mathematics and Statistical, Guizhou University of Finance and Economics, Guiyang, Guizhou 550025, China
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 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.
Funder
Chinese Postdoc Foundation Grant
Subject
General Engineering,General Mathematics
Cited by
2 articles.
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