  In this paper, we present a splitting algorithm to solve multicomponent
transport models. These models are related to plasma simulations, in which we
consider the local thermodynamic equilibrium and weakly ionised plasma-mixture
models that are used for medical and technical applications in etching
processes. These multi-component transport-mixture models can be derived by
approximately solving a linearised multi-component Boltzmann equation with an
approximation of the collision terms in the mass, momentum and energy
equations. The model-equations are nonlinear partial differential equations and
they are known as Stefan-Maxwell equations. However, these partial differential
equations are delicate to solve and we propose to use noniterative and
iterative splitting methods. In the numerical experiments, we see the benefit
of the iterative splitting methods, while these methods can relax the nonlinear
terms.
