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.

引用

页码：2079 / 2082

页数：3

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