Numerical simulation for the initial-boundary value problem of the Klein-Gordon-Zakharov equations |
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| Authors: | Juan Chen Lu-ming Zhang |
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| Affiliation: | 1 Department of Mathematics,Changshu Institute of Technology,Changshu 215500,China 2 Department of Mathematics,Nanjing university of Aeronautics and Astronautics,Nanjing 210016,China |
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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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| Keywords: | KGZ equations conservative difference scheme priori estimates convergence |
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