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Abstract: Lattice Boltzmann models that asymptotically reproduce solutions of nonlinear systems are derived bythe Chapman-Enskog method and the analytic method based on recursive substitution and Taylor-seriesexpansion. While both approaches yield identical hydrodynamic equations and can be generalized toanalyze a variety of nonlinear systems, they have complementary advantages and disadvantages. ... read moreInparticular, the error analysis is substantially easier using the Taylor-series expansion method. In thiswork, the Burgers’, Korteweg-de Vries, and Kuramoto-Sivashinsky equations are analyzed using bothapproaches, and the results are discussed and compared with analytic solutions and previous studies.read less
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