A New Lattice Boltzmann Model for KdV-Burgers Equation

Chin. Phys. Lett.

2005, Vol. 22

Issue (9): 2313-2315 DOI:

Original Articles

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

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MA Chang-Feng 2005 Chin. Phys. Lett. 22 2313-2315

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Abstract A new lattice Boltzmann model with amending-function for KdV-Burgers equation, u_t+uu_x-α u_xx+βu_xxx=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.

Keywords: 45.10.-b 46.12.-x 05.40.-a

Published: 01 September 2005

PACS:	45.10.-b	(Computational methods in classical mechanics)
	46.12.-x
	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2005/V22/I9/02313

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