Article ID Journal Published Year Pages File Type
1892145 Chaos, Solitons & Fractals 2008 9 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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