A Particle Method for the KdV Equation

被引：18
|
作者：
Chertock, Alina [1 ,2 ]
Levy, Doron [3 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
[2] Univ Calif Berkeley, Lawrence Berkeley Natl Lab, Berkeley, CA 94720 USA
[3] Stanford Univ, Dept Math, Stanford, CA 94305 USA
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2002年 / 17卷 / 1-4期
基金：
美国国家科学基金会;
关键词：
Particle methods; dispersion-velocity method; KdV equation;
D O I：
10.1023/A:1015106210404
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend the dispersion-velocity particle method that we recently introduced to advection models in which the velocity does not depend linearly on the solution or its derivatives. An example is the Korteweg de Vries (KdV) equation for which we derive a particle method and demonstrate numerically how it captures soliton-soliton interactions.
引用
收藏
页码：491 / 499
页数：9
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