An initial-boundary value problem of a nonlinear Klein-Gordon equation

被引:1
|
作者
Wong, YS [1 ]
Chang, QS [1 ]
Gong, LG [1 ]
机构
[1] ACAD SINICA,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present a fully implicit and discrete energy conserving finite difference scheme for the solution of an initial-boundary value problem of the nonlinear Klein-Gordon equation. A theoretical analysis is performed, and it has been demonstrated that the numerical scheme is particularly attractive when long time solutions are sought. (C) Elsevier Science Inc., 1997.
引用
收藏
页码:77 / 93
页数:17
相关论文
共 50 条
  • [21] Numerical Simulation for the Initial-boundary Value Problem of the Klein-Gordon-Zakharov Equations
    Chen, Juan
    Zhang, Lu-ming
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2012, 28 (02): : 325 - 336
  • [22] Numerical Simulation for the Initial-boundary Value Problem of the Klein-Gordon-Zakharov Equations
    Juan Chen Luming Zhang Department of MathematicsChangshu Institute of TechnologyChangshu China Department of MathematicsNanjing university of Aeronautics and AstronauticsNanjing China
    Acta Mathematicae Applicatae Sinica(English Series), 2012, 28 (02) : 325 - 336
  • [23] Initial-Boundary Value Problem for a Nonlinear Beam Vibration Equation
    Sabitov, K. B.
    Akimov, A. A.
    DIFFERENTIAL EQUATIONS, 2020, 56 (05) : 621 - 634
  • [24] The linearization of the initial-boundary value problem of the nonlinear Schrodinger equation
    Fokas, AS
    Its, AR
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (03) : 738 - 764
  • [25] Asymptotics of the Solution of the Initial Boundary Value Problem for the One-Dimensional Klein-Gordon Equation with Variable Coefficients
    Dobrokhotov, S. Yu.
    Smirnova, E. S.
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2024, 31 (02) : 187 - 198
  • [27] THE INVERSE PROBLEM OF KLEIN-GORDON EQUATION BOUNDARY VALUE PROBLEM AND ITS APPLICATION IN DATA ASSIMILATION
    Mu Xi-yu
    Xu Qi
    Cheng Hao
    Sun Kang-yuan
    Xu Fen
    Liu Guo-qing
    JOURNAL OF TROPICAL METEOROLOGY, 2019, 25 (01) : 92 - 101
  • [28] THE INVERSE PROBLEM OF KLEIN-GORDON EQUATION BOUNDARY VALUE PROBLEM AND ITS APPLICATION IN DATA ASSIMILATION
    慕熙昱
    徐琪
    程浩
    孙康远
    徐芬
    刘国庆
    Journal of Tropical Meteorology, 2019, 25 (01) : 92 - 101
  • [29] Cauchy problem for the nonlinear Klein-Gordon equation coupled with the Maxwell equation
    Colin, Mathieu
    Watanabe, Tatsuya
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 443 (02) : 778 - 796
  • [30] On nonlinear fractional Klein-Gordon equation
    Golmankhaneh, Alireza K.
    Golmankhaneh, Ali K.
    Baleanu, Dumitru
    SIGNAL PROCESSING, 2011, 91 (03) : 446 - 451