A lattice Boltzmann model for reaction dynamical systems with time delay

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.