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2014 A Galerkin Finite Element Method for Numerical Solutions of the Modified Regularized Long Wave Equation
Liquan Mei, Yali Gao, Zhangxin Chen
Abstr. Appl. Anal. 2014: 1-11 (2014). DOI: 10.1155/2014/438289

Abstract

A Galerkin method for a modified regularized long wave equation is studied using finite elements in space, the Crank-Nicolson scheme, and the Runge-Kutta scheme in time. In addition, an extrapolation technique is used to transform a nonlinear system into a linear system in order to improve the time accuracy of this method. A Fourier stability analysis for the method is shown to be marginally stable. Three invariants of motion are investigated. Numerical experiments are presented to check the theoretical study of this method.

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Liquan Mei. Yali Gao. Zhangxin Chen. "A Galerkin Finite Element Method for Numerical Solutions of the Modified Regularized Long Wave Equation." Abstr. Appl. Anal. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/438289

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022395
MathSciNet: MR3226195
Digital Object Identifier: 10.1155/2014/438289

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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