A unified lattice Boltzmann model for some nonlinear partial differential equations

Zhenhua Chai, Baochang Shi and Lin Zheng

Chaos, Solitons & Fractals, 2008, vol. 36, issue 4, 874-882

Abstract: In this paper, a unified and novel lattice Boltzmann model is proposed for solving nonlinear partial differential equation that has the form DUt+αUUx+βUnUx−γUxx+δ Uxxx=F(x,t). Numerical results agree well with the analytical solutions and results derived by existing literature, which indicates the present model is satisfactory and efficient on solving nonlinear partial differential equations.

Date: 2008
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:36:y:2008:i:4:p:874-882

DOI: 10.1016/j.chaos.2006.07.023

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