Abstract and Applied Analysis

Explicit Multistep Mixed Finite Element Method for RLW Equation

Yang Liu, Hong Li, Yanwei Du, and Jinfeng Wang

Full-text: Open access

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 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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 768976, 12 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511906

Digital Object Identifier
doi:10.1155/2013/768976

Mathematical Reviews number (MathSciNet)
MR3064335

Zentralblatt MATH identifier
1275.65061

Citation

Liu, Yang; Li, Hong; Du, Yanwei; Wang, Jinfeng. Explicit Multistep Mixed Finite Element Method for RLW Equation. Abstr. Appl. Anal. 2013 (2013), Article ID 768976, 12 pages. doi:10.1155/2013/768976. https://projecteuclid.org/euclid.aaa/1393511906


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