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Numerical Simulation for the Initial-boundary Value Problem of the Klein-Gordon-Zakharov Equations 被引量:2

Numerical Simulation for the Initial-boundary Value Problem of the Klein-Gordon-Zakharov Equations
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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.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 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.)
关键词 KGZ equations conservative difference scheme priori estimates CONVERGENCE KGZ equations, conservative difference scheme, priori estimates, convergence
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  • 1郭柏灵.复Schrodinger场和实Klein-Gordon场相互作用下一类方程组某些定解问题的整体解[J].中国科学:A辑,1982,2:97-107. 被引量:1
  • 2Chang Qianshun,Math Comput,1995年,64卷,537页 被引量:1
  • 3Chang Q,J Comput Phys,1994年,113卷,309页 被引量:1
  • 4郭柏灵,中国科学.A,1982年,2卷,97页 被引量:1

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