A New Lattice Boltzmann Model for KdV-Burgers Equation
MA Chang-Feng
College of Mathematics and Physics, Zhejiang Normal University, Zhejiang 321004
Department of Computer Science and Mathematics, Guilin Institute of Electronic Technology, Guangxi 541004
A New Lattice Boltzmann Model for KdV-Burgers Equation
MA Chang-Feng
College of Mathematics and Physics, Zhejiang Normal University, Zhejiang 321004
Department of Computer Science and Mathematics, Guilin Institute of Electronic Technology, Guangxi 541004
Abstract： A new lattice Boltzmann model with amending-function for KdV-Burgers equation, ut+uux-α uxx+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.
(Fluctuation phenomena, random processes, noise, and Brownian motion)
引用本文:
MA Chang-Feng. A New Lattice Boltzmann Model for KdV-Burgers Equation[J]. 中国物理快报, 2005, 22(9): 2313-2315.
MA Chang-Feng. A New Lattice Boltzmann Model for KdV-Burgers Equation. Chin. Phys. Lett., 2005, 22(9): 2313-2315.
2005, Vol. 22 
