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• W1978996173 abstract "A lattice Boltzmann model for convection-diffusion equation with nonlinear convection and isotropic-diffusion terms is proposed through selecting equilibrium distribution function properly. The model can be applied to the common real and complex-valued nonlinear evolutionary equations, such as the nonlinear Schrodinger equation, complex Ginzburg-Landau equation, Burgers-Fisher equation, nonlinear heat conduction equation, and sine-Gordon equation, by using a real and complex-valued distribution function and relaxation time. Detailed simulations of these equations are performed, and it is found that the numerical results agree well with the analytical solutions and the numerical solutions reported in previous studies." @default.
• W1978996173 created "2016-06-24" @default.
• W1978996173 creator A5004033194 @default.
• W1978996173 creator A5036548485 @default.
• W1978996173 date "2009-01-06" @default.
• W1978996173 modified "2023-10-02" @default.
• W1978996173 title "Lattice Boltzmann model for nonlinear convection-diffusion equations" @default.
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• W1978996173 doi "https://doi.org/10.1103/physreve.79.016701" @default.
• W1978996173 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/19257160" @default.
• W1978996173 hasPublicationYear "2009" @default.
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