Discrete artificial boundary conditions for the linearized Korteweg-de Vries equation

被引：13
|
作者：
Besse, C. [1 ]
Ehrhardt, M. [2 ]
Lacroix-Violet, I. [3 ]
机构：
[1] Univ Toulouse, CNRS, Inst Math Toulouse UMR5219, UPS IMT, F-31062 Toulouse 9, France
[2] Berg Univ Wuppertal, Fak Math & Nat Wissensch, Lehrstuhl Angew Math & Numer Anal, Gaussstr 20, D-42119 Wuppertal, Germany
[3] Univ Lille 1, CNRS UMR 8524, Lab Paul Painleve, F-59655 Villeneuve Dascq, France
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2016年 / 32卷 / 05期
关键词：
artificial boundary conditions; KdV equation; numerical simulation; TRANSPARENT; SOLITONS;
D O I：
10.1002/num.22058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the derivation of continuous and fully discrete artificial boundary conditions for the linearized Korteweg-de Vries equation. We show that we can obtain them for any constant velocities and any dispersion. The discrete artificial boundary conditions are provided for two different numerical schemes. In both continuous and discrete case, the boundary conditions are nonlocal with respect to time variable. We propose fast evaluations of discrete convolutions. We present various numerical tests which show the effectiveness of the artificial boundary conditions.(c) 2016 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 1455-1484, 2016
引用
收藏
页码：1455 / 1484
页数：30
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