| KdV方程带修正函数的格子Boltzmann模拟 |
| |
| 引用本文： | 何郁波,董晓亮,林晓艳.KdV方程带修正函数的格子Boltzmann模拟[J].计算机工程与应用,2012,48(27):38-41. |
| |
| 作者姓名： | 何郁波 董晓亮 林晓艳 |
| |
| 作者单位： | 1. 怀化学院数学系,湖南怀化,418008
2. 北方民族大学信息与计算科学学院,银川,750021 |
| |
| 基金项目： | 湖南省自然科学基金(No.06JJ5013);湖南省教育厅重点项目(No.08A503);怀化学院创新性试验点资助项目;宁夏高等学校科学研究后续项目(No.2009JY006);北方民族大学自主科研项目(No.2011ZQY025) |
| |
| 摘 要： | 采用一种带修正函数的新格子Boltzmann模型模拟了KdV方程,分析了由此得出的迭代格式的单调性和稳定性,得到了格式的单调性条件。在单调性条件下,迭代格式是L1稳定的。数值模拟结果表明该格式是可行的。
|
| 关 键 词： | 格子Boltzmann模型 KdV方程 单调性条件 稳定性 |
Lattice Boltzmann model with amending function for KdV equation |
| |
| HE Yubo
,
DONG Xiaoliang
,
LIN Xiaoyan.Lattice Boltzmann model with amending function for KdV equation[J].Computer Engineering and Applications,2012,48(27):38-41. |
| |
| Authors: | HE Yubo DONG Xiaoliang LIN Xiaoyan |
| |
| Affiliation: | 1.Department of Mathematics,Huaihua University,Huaihua,Hunan 418008,China 2.School of Information and Computation Science,Beifang University of Nationalities,Yinchuan 750021,China |
| |
| Abstract: | A new lattice Boltzmann model with amending-function for KdV equation is presented.Monotonicity and stability of the scheme are analyzed.The conditions of monotonicity are obtained,under which the stability of the scheme is proved in the L1 norm.Applied the proposed scheme,the solutions of KdV equation are simulated,and numerical results agree with the analytical solutions quite well. |
| |
| Keywords: | lattice Boltzmann model KdV equation monotonicity stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
