Picard’s iterative method for nonlinear multicomponent transport equations

Cogent Mathematics

Juergen Geiser¹ 

[1] Ruhr University of Bochum;

关键词: Picard’s iterative method;    variational iterative method;    multicomponent transport;    multilevel iterative method;    plasma models;    multidiffusion model;    nonlinear solver methods;   

DOI  :  10.1080/23311835.2016.1158510

来源: DOAJ

【 摘 要 】

In this paper, we present a Picard’s iterative method for the solution of nonlinear multicomponent transport equations. The multicomponent transport equations are important for mixture models of the ionized and neutral particles in plasma simulations. Such mixtures deal with the so-called Stefan–Maxwell approaches for the multicomponent diffusion. The underlying nonlinearities are delicate and it is not necessary to be an analytical function of the dependent variables. The proposed solver method is based on Banach’s contraction fix-point principle that allows to solve such nonlinearities without making any use to Lagrange multipliers and constrained variations. Such an improvement allows to solve delicate nonlinear problems and we test the application to model with multicomponent transport equations.

【 授权许可】

Unknown