| KdV方程的数值解及数值模拟 |
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| 引用本文： | 郝树艳,刘波,李广兴.KdV方程的数值解及数值模拟[J].海军航空工程学院学报,2009,24(5):597-600. |
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| 作者姓名： | 郝树艳 刘波 李广兴 |
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| 作者单位： | 1. 海军航空工程学院,基础部,山东,烟台,264001
2. 山东省枣庄市市中区信息管理中心,山东,枣庄,277100 |
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| 摘 要： | 文章在已构造的一种分片光滑的Lagrange型插值多项式空间中利用Galerkin法对非线性KdV方程进行求解。分析了数值格式的线性稳定性并进行了数值模拟，结果表明格式精确有效。
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| 关 键 词： | KdV方程 分片光滑多项式 Galerkin方法 孤立波 |
The Numerical Solution and Simulation for KdV Equation |
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| HAO Shu-yan,LIU Bo and LI Guang-xing.The Numerical Solution and Simulation for KdV Equation[J].Journal of Naval Aeronautical Engineering Institute,2009,24(5):597-600. |
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| Authors: | HAO Shu-yan LIU Bo and LI Guang-xing |
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| Institution: | 1. Department of Basic Sciences, NAAU, Yantai Shandong 264001, China; 2. Information Management Center of Shizhong District, Zaozhuang Shandong 277100, China) |
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| Abstract: | A smooth piecewise Lagrange polynomials subspace was constructed and used for the Galcrkin approximate solution of nonlinear KdV equation. The linear stability was analyzed. Some numerical results were presented, which showed that the present method was accurate and efficient. |
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| Keywords: | KdV equation smooth piecewise polynomials Galerkin method soliton |
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