Numerical study of the nonlinear combined sine-cosine-Gordon equation with the lattice Boltzmann method

DOI10.1007/s10915-012-9587-6zbMath1259.65130OpenAlexW2003394383MaRDI QIDQ1936312

Huilin Lai, Chang-Feng Ma

Publication date: 4 February 2013

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-012-9587-6

zbMATH Keywords

stabilitynumerical resultsfinite difference methodevolution equationChapman-Enskog expansionlattice Boltzmann methodsine-cosine-Gordon equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs in connection with quantum mechanics (35Q40) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (4)

An efficient explicit immersed boundary-reconstructed lattice Boltzmann flux solver for isothermal fluid-structure interaction problems with large deformations and complex geometries ⋮ Linear Bhatnagar-Gross-Krook equations for simulation of linear diffusion equation by lattice Boltzmann method ⋮ Lattice Boltzmann model for time sub-diffusion equation in Caputo sense ⋮ A lattice Boltzmann model for the fractional advection-diffusion equation coupled with incompressible Navier-Stokes equation

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