Communications in Mathematical Sciences
Volume 8 (2010)
On the Chang and Cooper scheme applied to a linear Fokker-Planck equation
Pages: 1079 – 1090
We show that for a particular linear Fokker-Planck operator, the explicit Chang and Cooper scheme is positive and entropy satisfying under a CFL criterion when the initial condition is positive. Then, we deduce that the distribution given by the explicit Chang and Cooper scheme converges toward a discrete Maxwellian equilibrium.
Kinetic equation; Fokker-Planck-Landau operator; explicit Chang and Cooper scheme; positive and entropy satisfying scheme
2010 Mathematics Subject Classification
65M06, 65M12, 82C40, 82D10