| Klein-Gordon-Schrodinger 耦合方程的线性化紧致差分格式 |
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| 引用本文： | 孙启航,徐尚巧.Klein-Gordon-Schrodinger 耦合方程的线性化紧致差分格式[J].徐州师范大学学报(自然科学版),2014(4):44-50. |
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| 作者姓名： | 孙启航 徐尚巧 |
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| 作者单位： | 鲁东大学 信息与电气工程学院,山东 烟台,264025 |
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| 摘 要： | 构造了一个新的紧致差分格式对 Klein-Gordon-Schrodinger（KGS）耦合方程的周期边值问题进行数值研究，该格式是非耦合且线性的，因此具有更快的计算速度，且便于并行计算。同时讨论了该格式的守恒性质，并在先验估计的基础上运用能量方法分析了差分格式的收敛性，收敛阶是 O（τ^2＋h4）。数值实验也证明了该格式的有效性。
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| 关 键 词： | Klein-Gordon-Schrodinger 耦合方程 紧致差分格式 收敛性 离散守恒律 |
A linear compact difference scheme for the coupled Klein-Gordon-Schrodinger equation |
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| Sun Qihang,Xu Shangqiao.A linear compact difference scheme for the coupled Klein-Gordon-Schrodinger equation[J].Journal of Xuzhou Normal University(Natural Science Edition),2014(4):44-50. |
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| Authors: | Sun Qihang Xu Shangqiao |
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| Institution: | Sun Qihang;Xu Shangqiao;School of Information & Electrical Engineering,Ludong University; |
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| Abstract: | A conservative compact difference scheme is explored for the strongly coupled nonlinear Klein-Gordon-Schrodinger equations.The scheme is uncoupled and linear,thus can be computed by parallel method and need less CPU time than other schemes.After transforming the scheme into matrix form,the convergence and stability of the difference scheme are proved in the L ∞ norm.Numerical experiments are carried out to demonstrate that the com-pact difference scheme is accurate and efficient. |
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| Keywords: | coupled Klein-Gordon-Schrodinger equation compact difference scheme convergence discrete conservation law |
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