In this paper, we present a numerical scheme for a non linear Fokker–Planck equation of one‐dimensional granular medium. We consider a kinetic description of a system of particles undergoing nearly elastic particles and interacting with a thermal bath. We construct a numerical method which preserve all the properties of the continuous model, conservation laws, and decay of the entropy. Moreover, the discretization is such that, on a fixed grid, we deal with arbitrary small temperatures for the bath. Explicit and implicit time discretization are analyzed.
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Buet et al. (2004) studied this question.
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