Lattice Boltzmann model with amending function for KdV equation

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (27): 38-41.

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Lattice Boltzmann model with amending function for KdV equation

HE Yubo1, DONG Xiaoliang2, LIN Xiaoyan1

1.Department of Mathematics, Huaihua University, Huaihua, Hunan 418008, China
2.School of Information and Computation Science, Beifang University of Nationalities, Yinchuan 750021, China

Online:2012-09-21 Published:2012-09-24

KdV方程带修正函数的格子Boltzmann模拟

何郁波1，董晓亮2，林晓艳1

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

Abstract

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.

Key words: lattice Boltzmann model, KdV equation, monotonicity, stability

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

HE Yubo1, DONG Xiaoliang2, LIN Xiaoyan1. Lattice Boltzmann model with amending function for KdV equation[J]. Computer Engineering and Applications, 2012, 48(27): 38-41.

何郁波1，董晓亮2，林晓艳1. 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.

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Lattice Boltzmann model with amending function for KdV equation

KdV方程带修正函数的格子Boltzmann模拟

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