A conservative compact difference scheme for the coupled Klein-Gordon-Schrodinger equation

被引：8
|
作者：
Sun, Qihang [1 ]
Zhang, Luming [1 ]
Wang, Shanshan [1 ]
Hu, Xiuling [2 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 210016, Jiangsu, Peoples R China
[2] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 29卷 / 05期
关键词：
Klein-Gordon-Schrodinger equation; compact difference scheme; conservation; convergence; EFFICIENT;
D O I：
10.1002/num.21770
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a conservative compact difference scheme is presented for the periodic initial-value problem of Klein-Gordon-Schrodinger equation. On the basis of some inequalities about norms and the priori estimates, convergence of the difference solution is proved with order O(h(4) + tau(2)) in maximum norm. Numerical experiments demonstrate the accuracy and efficiency of the compact scheme. (C) 2013 Wiley Periodicals, Inc.
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页码：1657 / 1674
页数：18
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