| A New Lattice Boltzmann Model for KdV-Burgers Equation |
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| 引用本文： | 马昌凤. A New Lattice Boltzmann Model for KdV-Burgers Equation[J]. 中国物理快报, 2005, 22(9): 2313-2315 |
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| 作者姓名： | 马昌凤 |
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| 作者单位： | [1]College of Mathematics and Physics, Zhejiang Normal University, Zhejiang 321004 [2]Department of Computer Science and Mathematics, Guilin Institute of Electronic Technology, Guangxi 541004 |
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| 基金项目： | Supported by China Postdoctoral Science Foundation under Grant No 2004036133, and the Guangxi Science Foundation under Grant No 0448075. |
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| 摘 要： | A new lattice Boltzmann model with amending-function for KdV-Burgers equation, ut ＋ uux -αuxx ＋ βuxxx = 0, is presented by using the single-relaxation form of the lattice Boltzmann equation. Applying the proposed model, we simulate the solutions of a kind of KdV-Burgers equations, and the numerical results agree with the analytical solutions quite well.
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| 关 键 词： | 格子 Boltzmann模型 KdV-Burgers方程 线性分析 |
| 收稿时间： | 2005-02-22 |
| 修稿时间： | 2005-02-22 |
A New Lattice Boltzmann Model for KdV-Burgers Equation |
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| Ma ChangFeng. A New Lattice Boltzmann Model for KdV-Burgers Equation[J]. Chinese Physics Letters, 2005, 22(9): 2313-2315 |
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| Authors: | Ma ChangFeng |
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