CLC number: O343.2
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
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KHELIL N., BENSALAH N., SAIDI H., ZERARKA A.. Artificial perturbation for solving the Korteweg-de Vries equation[J]. Journal of Zhejiang University Science A, 2006, 7(12): 2079-2082.
@article{title="Artificial perturbation for solving the Korteweg-de Vries equation",
author="KHELIL N., BENSALAH N., SAIDI H., ZERARKA A.",
journal="Journal of Zhejiang University Science A",
volume="7",
number="12",
pages="2079-2082",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A2079"
}
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%T Artificial perturbation for solving the Korteweg-de Vries equation
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%A SAIDI H.
%A ZERARKA A.
%J Journal of Zhejiang University SCIENCE A
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%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A2079
TY - JOUR
T1 - Artificial perturbation for solving the Korteweg-de Vries equation
A1 - KHELIL N.
A1 - BENSALAH N.
A1 - SAIDI H.
A1 - ZERARKA A.
J0 - Journal of Zhejiang University Science A
VL - 7
IS - 12
SP - 2079
EP - 2082
%@ 1673-565X
Y1 - 2006
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2006.A2079
Abstract: 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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