A New Lattice Boltzmann Model for KdV-Burgers Equation

A new lattice Boltzmann model with amending-function for KdV-Burgers equation, u_t+uu_x-α u_xx+βu_xxx=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.