Numerical Study Using Explicit Multistep Galerkin Finite Element Method for the MRLW Equation

被引：8

作者：

Mei, Liquan ^{[1
]}

Gao, Yali ^{[1
]}

Chen, Zhangxin ^{[2
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Dept Computat Sci, Xian 710049, Peoples R China

[2] Univ Calgary, Schulich Sch Engn, Dept Chem & Petr Engn, Calgary, AB T2N 1N4, Canada

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 31卷 / 06期

关键词：

explicit multistep method; finite elements; Galerkin method; modified regularized long wave equation; QUADRATIC B-SPLINE; RLW EQUATION; DIFFERENCE SCHEME; COLLOCATION METHOD; SOLITARY WAVES; LONG; SIMULATION;

D O I：

10.1002/num.21971

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, an explicit multistep Galerkin finite element method for the modified regularized long wave equation is studied. The discretization of this equation in space is by linear finite elements, and the time discretization is based on explicit multistep schemes. Stability analysis and error estimates of our numerical scheme are derived. Numerical experiments indicate the validation of the scheme by L2- and L8-error norms and three invariants of motion.4 (C) 2015 Wiley Periodicals, Inc.

引用

页码：1875 / 1889

页数：15

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