Numerical simulation of a class of nonlinear wave equations by lattice Boltzmann method

DOI10.1007/s40304-016-0098-xzbMath1372.65286OpenAlexW2588188557MaRDI QIDQ2401492

Min Guo, Linghua Kong, Ya-Li Duan

Publication date: 1 September 2017

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40304-016-0098-x

zbMATH Keywords

numerical examplesKlein-Gordon equationChapman-Enskog expansionnonlinear wave equationsine-Gordon equationlattice Boltzmann methodsecond-order hyperbolic telegraph equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) PDEs in connection with quantum mechanics (35Q40) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (4)

Lattice Boltzmann Model for Time-Fractional Nonlinear Wave Equations ⋮ A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation ⋮ Explicit high-order compact difference method for solving nonlinear hyperbolic equations with three types of boundary conditions ⋮ LATTICE BOLTZMANN MODEL FOR TWO-DIMENSIONAL GENERALIZED SINE-GORDON EQUATION

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