A computational method for regularized long wave equation

被引：84

作者：

Bhardwaj, D ^{[1
]}

Shankar, R ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, New Delhi 110016, India

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2000年 / 40卷 / 12期

关键词：

soliton; quintic spline; operator splitting; undular bore; penta-diagonal matrix;

D O I：

10.1016/S0898-1221(00)00248-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Quintic spline technique and splitting method have been used to develop a new-finite difference method to solve regularized long wave (RLW) equation. The convergence and the stability of the proposed method are discussed. Then, it is used to model solitary wave motion and undular bore development by solving two test examples. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：1397 / 1404

页数：8

共 6 条

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EILBECK, JC
MCGUIRE, GR
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[4] NUMERICAL-SOLUTION OF REGULARIZED LONG-WAVE EQUATION
JAIN, PC
SHANKAR, R
SINGH, TV
[J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1993, 9 (07): : 579 - 586
[5] CALCULATIONS OF DEVELOPMENT OF AN UNDULAR BORE
PEREGRINE, DH
[J]. JOURNAL OF FLUID MECHANICS, 1966, 25 : 321 - +
[6] RICHTMYER RD, 1967, DIFFERECE METHODS IN

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