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 50 条

[41] A Fully Galerkin Method for the Damped Generalized Regularized Long-Wave (DGRLW) Equation
Achouri, Talha
Ayadi, Mekki
Omrani, Khaled
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (03) : 668 - 684
[42] A Galerkin Finite Element Method for Numerical Solutions of the Modified Regularized Long Wave Equation
Mei, Liquan
Gao, Yali
Chen, Zhangxin
ABSTRACT AND APPLIED ANALYSIS, 2014,
[43] The Solution of the Regularized Long Wave Equation Using the Fourier Leap-Frog Method
Hassan, Hany N.
Saleh, Hassan K.
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (04): : 268 - 276
[44] Numerical simulation of the regularized long wave equation by He's homotopy perturbation method
Inc, Mustafa
Ugurlu, Yavuz
PHYSICS LETTERS A, 2007, 369 (03) : 173 - 179
[45] A second-order Fourier pseudospectral method for the generalized regularized long wave equation
Xiaorong Kang
Kelong Cheng
Chunxiang Guo
Advances in Difference Equations, 2015
[46] Numerical solution of regularized long wave equation using Petrov-Galerkin method
Dogan, A
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2001, 17 (07): : 485 - 494
[47] Interacting localized waves for the regularized long wave equation via a Galerkin spectral method
Christou, MA
Christov, CI
MATHEMATICS AND COMPUTERS IN SIMULATION, 2005, 69 (3-4) : 257 - 268
[48] A Petrov-Galerkin method for solving the generalized regularized long wave (GRLW) equation
Roshan, Thoudam
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (05) : 943 - 956
[49] Non-polynomial splines method for numerical solutions of the regularized long wave equation
Lin, Bin
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (08) : 1591 - 1607
[50] Transcendental surface wave to the symmetric regularized long-wave equation
Fatema, Kaniz
Islam, Md. Ekramul
Akhter, Mousumi
Akbar, M. Ali
Inc, Mustafa
PHYSICS LETTERS A, 2022, 439

← 1 2 3 4 5 →