A Fast Stable Discretization of the Constant-Convection-Diffusion-Reaction Equations of Kinetic Capillary Electrophoresis (KCE)

Autor:	Vass, József, Krylov, Sergey N.
Rok vydání:	2016
Předmět:	Physics - Computational Physics 65M08 (Primary) 65M12 35C05 (Secondary)
Druh dokumentu:	Working Paper
Popis:	A discretization scheme is introduced for a set of convection-diffusion equations with a non-linear reaction term, where the convection velocity is constant for each reactant. This constancy allows a transformation to new spatial variables, which ensures the global stability of discretization. Convection-diffusion equations are notorious for their lack of stability, arising from the algebraic interaction of the convection and diffusion terms. Unexpectedly, our implemented numerical algorithm proves to be faster than computing exact solutions derived for a special case, while remaining reasonably accurate, as demonstrated in our runtime and error analysis. Comment: Accepted for publication. (Contains 18 pages with 3 figures.)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1611.05795 Zobrazit plný text záznamu View this record from Arxiv