A conservative compact difference scheme for the coupled Klein–Gordon–Schrödinger equation

IF 2.1 3区数学 Q1 MATHEMATICS, APPLIED Numerical Methods for Partial Differential Equations Pub Date : 2013-09-01 DOI:10.1002/num.21770

Qihang Sun, Lu-ming Zhang, Shanshan Wang, Xiuling Hu

引用次数: 9

Abstract

In this article, a conservative compact difference scheme is presented for the periodic initial‐value problem of Klein–Gordon–Schrödinger equation. On the basis of some inequalities about norms and the priori estimates, convergence of the difference solution is proved with order O(h4 +τ 2) in maximum norm. Numerical experiments demonstrate the accuracy and efficiency of the compact scheme. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013

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耦合Klein-Gordon-Schrödinger方程的保守紧致差分格式

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来源期刊

Numerical Methods for Partial Differential Equations 数学-应用数学

CiteScore

7.20

自引率

2.60%

发文量

审稿时长

9 months

期刊介绍： An international journal that aims to cover research into the development and analysis of new methods for the numerical solution of partial differential equations, it is intended that it be readily readable by and directed to a broad spectrum of researchers into numerical methods for partial differential equations throughout science and engineering. The numerical methods and techniques themselves are emphasized rather than the specific applications. The Journal seeks to be interdisciplinary, while retaining the common thread of applied numerical analysis.