NUMERICALLY INDUCED PHASE-SHIFT IN THE KDV SOLITON

被引：9

作者：

HERMAN, RL ^{[1
]}

KNICKERBOCKER, CJ ^{[1
]}

机构：

[1] ST LAWRENCE UNIV, DEPT MATH, CANTON, NY 13617 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1993年 / 104卷 / 01期

关键词：

D O I：

10.1006/jcph.1993.1006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

When using a finite difference scheme to study the motion of a KdV solition, a shift in the position of the solition from the exact solution is detected. In this paper we retain the lowest order terms in the truncation error and treat them analytically as a perturbation of the KdV equation. It is found that perturbation theory can be used to determine the numerically induced shift. © 1993 Academic Press. All rights reserved.

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页码：50 / 55

页数：6

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