Artificial perturbation for solving the Korteweg-de Vries equation

被引：7
作者：
Khelil N. [1 ]
Bensalah N. [1 ]
Saidi H. [1 ]
Zerarka A. [1 ]
机构：
[1] Laboratory of Physics and Applied Mathematics, University Med Khider, BP 145
来源：
Journal of Zhejiang University-SCIENCE A | 2006年 / 7卷 / 12期
关键词：
Korteweg-de Vries (KdV) equation; Perturbation; Quintic spline; Taylor series;
D O I：
10.1631/jzus.2006.A2079
中图分类号：
学科分类号：
摘要：
A perturbation method is introduced in the context of dynamical system for solving the nonlinear Korteweg-de Vries (KdV) equation. Best efficiency is obtained for few perturbative corrections. It is shown that, the question of convergence of this approach is completely guaranteed here, because a limited number of term included in the series can describe a sufficient exact solution. Comparisons with the solutions of the quintic spline, and finite difference are presented.
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页码：2079 / 2082
页数：3
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