A Finite Difference Simulation for Rosenau-Burgers Equation

Author

Li, Desheng ; Wang, Zhuangzhuang ; Wu, Yongbing ; Lu, Yao

Author_Institution

Sci. Coll., Yanshan Univ., Qinhuangdao, China

fYear

2009

fDate

19-20 Dec. 2009

Firstpage

1

Lastpage

4

Abstract

In this paper, we propose a linear finite difference scheme for the initial-boundary problem of Rosenau-Burgers equation. We not only discuss solvability, stability and convergence of the scheme in detail, but also prove that the numerical solution of the scheme converges to the exact solution of the original problem in the sense of Â¿Â·Â¿_Â¿-norm. At last, a numerical example, which compares results between the linear scheme and that in paper by Bing Hu (Appl. Math. Comp. 204 (2008) 311-316), shows that the method in this paper is efficient and more accurate.

Keywords

finite difference methods; initial value problems; Rosenau-Burgers equation; equation convergence; equation solvability; equation stability; initial boundary problem; linear finite difference scheme; Boundary conditions; Convergence of numerical methods; Difference equations; Educational institutions; Finite difference methods; Lattices; Mathematical model; Nonlinear equations; Silicon; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Engineering and Computer Science, 2009. ICIECS 2009. International Conference on

Conference_Location

Wuhan

Print_ISBN

978-1-4244-4994-1

Type

conf

DOI

10.1109/ICIECS.2009.5367154

Filename

5367154