A fast stable discretization of the Constant-Convection-Diffusion-Reaction equations of Kinetic Capillary Electrophoresis (KCE)

被引：0

作者：

Vass, Jozsef ^{[1
]}

Krylov, Sergey N. ^{[1
]}

机构：

[1] York Univ, Dept Chem, Ctr Res Biomol Interact, Toronto, ON M3J 1P3, Canada

来源：

APPLIED NUMERICAL MATHEMATICS | 2017年 / 122卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Convection-diffusion equations; Multimesh; Stable discretization; SIZE-EXCLUSION CHROMATOGRAPHY; MASS-SPECTROMETRY DETECTION; SMALL MOLECULE INTERACTIONS; EQUILIBRIUM MIXTURES; NUMERICAL-SIMULATION; MATHEMATICAL-MODEL; AFFINITY METHODS; DISSOCIATION; SEPARATIONS; PLATFORM;

D O I：

10.1016/j.apnum.2017.08.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2017 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：82 / 91

页数：10