Abstract and Applied Analysis
Volume 2013 (2013), Article ID 768976, 12 pages
http://dx.doi.org/10.1155/2013/768976
Research Article

Explicit Multistep Mixed Finite Element Method for RLW Equation

Yang Liu,1 Hong Li,1 Yanwei Du,1 and Jinfeng Wang2

1School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China
2School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, China

Received 15 February 2013; Revised 22 April 2013; Accepted 30 April 2013

Academic Editor: Marco Donatelli

Copyright © 2013 Yang Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An explicit multistep mixed finite element method is proposed and discussed for regularized long wave (RLW) equation. The spatial direction is approximated by the mixed Galerkin method using mixed linear space finite elements, and the time direction is discretized by the explicit multistep method. The optimal error estimates in and norms for the scalar unknown and its flux based on time explicit multistep method are derived. Some numerical results are given to verify our theoretical analysis and illustrate the efficiency of our method.