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

被引：0
|
作者：
Juan Chen Luming Zhang Department of MathematicsChangshu Institute of TechnologyChangshu China Department of MathematicsNanjing university of Aeronautics and AstronauticsNanjing China [1 ,2 ,1 ,215500 ,2 ,210016 ]
机构：
来源：
Acta Mathematicae Applicatae Sinica(English Series) | 2012年 / 28卷 / 02期
关键词：
D O I：
暂无
中图分类号：
O175.8 [边值问题];
学科分类号：
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.
引用
收藏
页码：325 / 336
页数：12
相关论文
共 50 条
  • [41] INITIAL BOUNDARY VALUE PROBLEM FOR MODIFIED ZAKHAROV EQUATIONS
    游淑军
    郭柏灵
    宁效琦
    ActaMathematicaScientia, 2012, 32 (04) : 1455 - 1466
  • [42] NORMAL-FORM AND GLOBAL-SOLUTIONS FOR THE KLEIN-GORDON-ZAKHAROV EQUATIONS
    OZAWA, T
    TSUTAYA, K
    TSUTSUMI, Y
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1995, 12 (04): : 459 - 503
  • [43] The Klein-Gordon-Zakharov equations with the positive fractional power terms and their exact solutions
    Zhang, Jinliang
    Hu, Wuqiang
    Ma, Yu
    PRAMANA-JOURNAL OF PHYSICS, 2016, 87 (06):
  • [44] A NEW METHOD TO CONSTRUCT TRAVELLING WAVE SOLUTIONS FOR THE KLEIN-GORDON-ZAKHAROV EQUATIONS
    Zhang, Zai-Yun
    Zhong, Juan
    Dou, Sha Sha
    Liu, Jiao
    Peng, Dan
    Gao, Ting
    ROMANIAN JOURNAL OF PHYSICS, 2013, 58 (7-8): : 766 - 777
  • [45] The solitary wave solutions to the Klein-Gordon-Zakharov equations by extended rational methods
    Yao, Shao-Wen
    Zekavatmand, Sayyed Masood
    Rezazadeh, Hadi
    Vahidi, Javad
    Ghaemi, Mohammad Bagher
    Inc, Mustafa
    AIP ADVANCES, 2021, 11 (06)
  • [46] Solitary wave propagation and interactions for the Klein-Gordon-Zakharov equations in plasma physics
    Wang, Jian
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (08)
  • [47] Complex traveling-wave and solitons solutions to the Klein-Gordon-Zakharov equations
    Houwe, Alphonse
    Abbagari, Souleymanou
    Salathiel, Yakada
    Inc, Mustafa
    Doka, Serge Y.
    Crepin, Kofane Timoleon
    Baleanu, Dumitru
    RESULTS IN PHYSICS, 2020, 17
  • [48] Orbital stability of periodic standing waves of the coupled Klein-Gordon-Zakharov equations
    Li, Qiuying
    Zheng, Xiaoxiao
    Wang, Zhenguo
    AIMS MATHEMATICS, 2023, 8 (04): : 8560 - 8579
  • [49] Modified scattering for the mixed initial-boundary problem for the nonlinear Klein?Gordon equation
    Naumkin, Ivan
    NONLINEARITY, 2020, 33 (01) : 276 - 324
  • [50] Numerical treatment of an initial-boundary value problem for fractional partial differential equations
    Ciesielski, Mariusz
    Leszczynski, Jacek
    SIGNAL PROCESSING, 2006, 86 (10) : 2619 - 2631
12345