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Lattice Boltzmann solver of Rossler equation
Institution:1. Department of Developmental Psychology and Socialization, University of Padova, Padova, Italy;2. Department of Dynamic and Clinical Psychology, and Health Studies, Sapienza University of Rome, Rome, Italy;3. Department of Neurosciences, Mental Health and Sensory Organs, Suicide Prevention Center, Sant''Andrea Hospital, Sapienza University of Rome, Rome, Italy;4. European Network of Psychodynamic Psychiatry, Rome, Italy;5. Department of Psychiatry, ASL Roma 1, Rome, Italy;6. Mental Health Department, ASL Roma 1, S.Spirito Hospital, Rome, Italy
Abstract:We proposed a lattice Boltzmann model for the Rossler equation. Using a method of multiscales in the lattice Boltzmann model, we get the diffusion reaction as a special case. If the diffusion effect disappeared, we can obtain the lattice Boltzmann solution of the Rossler equation on the mesescopic scale. The numerical results show the method can be used to simulate Rossler equation.
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