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# A lattice Boltzmann model for reaction dynamical systems with time delay

• ##### Xiaomei Yu
State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, PR China; Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, PR China
Applied Mathematics and Computation (Impact Factor: 1.35). 01/2006; DOI: 10.1016/j.amc.2006.02.020
Source: DBLP

ABSTRACT Nonlinear reaction dynamical systems with time delay are investigated to evaluate the capability of the lattice Boltzmann model for delay differential dynamical systems. The stiff delay systems, multi-delay systems and two-dimensional partial delay differential equation are studied. Computation precise, efficiency, delay appearances are observed. The simulation results indicate that the lattice Boltzmann method is an innovative and effective numerical method to simulate the nonlinear delay differential dynamical systems.

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