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Numerical simulation for the initial-boundary value problem of the Klein-Gordon-Zakharov equations

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Changshu Institute of Technology, Changshu, 215500, China

    Juan Chen

  2. Department of Mathematics, Nanjing university of Aeronautics and Astronautics, Nanjing, 210016, China

    Lu-ming Zhang

Authors
  1. Juan Chen
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  2. Lu-ming Zhang
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Correspondence to Juan Chen.

Additional information

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

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Chen, J., Zhang, Lm. Numerical simulation for the initial-boundary value problem of the Klein-Gordon-Zakharov equations. Acta Math. Appl. Sin. Engl. Ser. 28, 325–336 (2012). https://doi.org/10.1007/s10255-011-0066-x

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  • DOI: https://doi.org/10.1007/s10255-011-0066-x

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