Numerical approximation of collisional plasmas by high order methods
Journal of Computational Physics
Numerical resolution of a potential diphasic low Mach number system
Journal of Computational Physics
Application of the Adomian decomposition method for the Fokker-Planck equation
Mathematical and Computer Modelling: An International Journal
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We describe a numerical scheme for dealing with an ion/electron collision operator of the Fokker--Planck type; for that purpose, we introduce the notion of the entropic average of two positive quantities. This scheme has the property to be entropic in the sense of Boltzmann's H-theorem under a CFL criteria. Moreover, we prove that the solution of the semidiscrete scheme converges towards a unique Maxwellian equilibrium state when the time grows. Numerical applications are given and show that our scheme is more precise than the classical Chang--Cooper one.