Explicit multistep method for the numerical solution of RLW equation

被引：21

作者：

Mei, Liquan ^{[1
]}

Chen, Yaping ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 18期

关键词：

RLW equation; Finite element methods; Galerkin method; Explicit multistep method; LONG-WAVE EQUATION; FINITE-ELEMENT-METHOD; QUADRATIC B-SPLINE; GALERKIN METHOD; SCHEME;

D O I：

10.1016/j.amc.2012.03.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present explicit multistep method for regularized long wave (RLW) equation. The discretization in space is based on the Galerkin method using linear space finite elements, and for the time discretization the explicit multistep method is used. Propagation of solitary waves and interaction of two solitary waves are simulated using the proposed method to confirm the theoretical results. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：9547 / 9554

页数：8

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