A New Lattice Boltzmann Model for KdV-Burgers Equation

Abstract

A new lattice Boltzmann model with amending-function for KdV-Burgers equation, ut+uux−αuxx+βuxxx = 0, is presented by using the single-relaxation form of the lattice Boltzmann equation. Applying the proposed model, we simulate the solutions of a kind of KdV-Burgers equations, and the numerical results agree with the analytical solutions quite well.