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 discreti- zation is such that, on a fixed grid, we deal with arbitrary small temperatures for the bath. Explicit and implicit time discretization are analyzed.