Open Access
2013 Explicit Multistep Mixed Finite Element Method for RLW Equation
Yang Liu, Hong Li, Yanwei Du, Jinfeng Wang
Abstr. Appl. Anal. 2013: 1-12 (2013). DOI: 10.1155/2013/768976


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 L 2 and H 1 norms for the scalar unknown u and its flux q = u x 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.


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Yang Liu. Hong Li. Yanwei Du. Jinfeng Wang. "Explicit Multistep Mixed Finite Element Method for RLW Equation." Abstr. Appl. Anal. 2013 1 - 12, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1275.65061
MathSciNet: MR3064335
Digital Object Identifier: 10.1155/2013/768976

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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