NUMERICAL SIMULATION FOR SOLITARY WAVES OF RLW EQUATION

A high order finite difference scheme for solving the Regularised Long Wave (RLW) equation, based on the high order Pade approximation and Lax-Wen&off type time discretization, was developed in this paper. Some numerical examples, including the propagation of a single soliton, the interaction of...

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Bibliographic Details
Published inJournal of hydrodynamics. Series B Vol. 16; no. 2; pp. 130 - 135
Main Author XUZhen-li LIURu-xun
Format Journal Article
LanguageEnglish
Published Department of Mathematics,University of Science and Technology of China, Hefei 230026,China 01.04.2004
Subjects
RLW方程
孤立波
数值模拟
流体力学
离散化
非线性色散介质
soliton
Pade approximation
RLW equation
Lax-Wendroff scheme
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Summary:A high order finite difference scheme for solving the Regularised Long Wave (RLW) equation, based on the high order Pade approximation and Lax-Wen&off type time discretization, was developed in this paper. Some numerical examples, including the propagation of a single soliton, the interaction of double solitary waves and the temporal evolution of a Maxwellian initial pulse, were studied to test the accuracy, efficiency and conservation property of the scheme. Compared with the results based on finite element methods, the scheme is proven successful.
Bibliography:31-1563/T
O35
ISSN:1001-6058