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Numerical simulation for the initial-boundary value problem of the Klein-Gordon-Zakharov equations

Numerical simulation for the initial-boundary value problem of the Klein-Gordon-Zakharov equations In this paper, a new conservative finite difference scheme with a parameter θ is proposed for the initial-boundary problem of the Klein-Gordon-Zakharov (KGZ) equations. Convergence of the numerical solutions are proved with order O(h 2 + τ 2) in the energy norm. Numerical results show that the scheme is accurate and efficient. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Numerical simulation for the initial-boundary value problem of the Klein-Gordon-Zakharov equations

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References (22)

Publisher
Springer Journals
Copyright
Copyright © 2012 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-011-0066-x
Publisher site
See Article on Publisher Site

Abstract

In this paper, a new conservative finite difference scheme with a parameter θ is proposed for the initial-boundary problem of the Klein-Gordon-Zakharov (KGZ) equations. Convergence of the numerical solutions are proved with order O(h 2 + τ 2) in the energy norm. Numerical results show that the scheme is accurate and efficient.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Apr 7, 2011

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