Numerical Simulation for the Initial-boundary Value Problem of the Klein-Gordon-Zakharov Equations  

作　　者：Juan Chen Lu-ming Zhang 

机构地区：[1]Department of Mathematics, Changshu Institute of Technology, Changshu 215500, China [2]Department of Mathematics, Nanjing university of Aeronautics and Astronautics, Nanjing 210016, China

出　　处：《Acta Mathematicae Applicatae Sinica》2012年第2期325-336,共12页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 10471023,11001034.)

摘　　要：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.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.

关 键 词：KGZ equations conservative difference scheme priori estimates CONVERGENCE 

分 类 号：O175.29[理学—数学] O175.8[理学—基础数学]