A New Lattice Boltzmann Model for KdV-Burgers Equation
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Abstract
A new lattice Boltzmann model with amending-function for KdV-Burgers equation, ut+uux-α uxx+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.
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