The MWF method for kinetic equations system

Authors:
Carlo Bianca;Francesco Pappalardo;Santo Motta
Affiliations:
Department of Mathematics & Computer Science, University of Catania, Italy;Faculty of Pharmacy, University of Catania, Italy and Department of Mathematics & Computer Science, University of Catania, Italy;Department of Mathematics & Computer Science, University of Catania, Italy
Venue:
Computers & Mathematics with Applications
Year:
2009

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Abstract

Many physical or biological phenomena deal with the dynamics of interacting entities. These class of phenomena are well described in physics, using a kinetic approach based on Boltzmann equation. A Generalized Kinetic theory has been proposed to extend this approach to biological scenarios. An analytical solution of Boltzmann equation can be found only in very simple cases, so numerical methods become extremely relevant. The particle method is a class of numerical methods used to find a numerical solution of Boltzmann equations. The MWF-method for kinetic equations was firstly proposed by S. Motta and J. Wick in 1992. Here, we show that the MWF-method can be extended to system of Boltzamm equations.