A numerical approach to ionic transport through charged membranes
type: Item
instance of: scholarly article
title: A numerical approach to ionic transport through charged membranes
zbMATH Open document ID: 0637.65129
DOI: 10.1016/0021-9991(88)90095-2
author: V. M. Aguilella
author: Salvador Mafe
author: Julio Pellicer
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: The ionic transport through charged membranes is described in terms of Nernst-Planck and Poisson equations. Even introducing the electroneutrality assumption (which has been often used) does not eliminate difficulties in solving the equation system - the intrinsic nonlinearity and others - stating the need for numerical procedures. A finite-difference method, including refinements in distance scaling, is proposed for the solution of the steady state transport across charged membranes when an electric current density and a convective flux are involved. The method is capable of dealing with an arbitrary number of ionic species of any charge number. Main features of the algorithm are the numerical stability and the ease and flexibility for introducing the boundary conditions.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 82C70
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 78A35
zbMATH DE Number: 4039225
zbMATH Keywords: Nernst-Planck equation
zbMATH Keywords: ionic transport through charged membranes
zbMATH Keywords: Poisson equations
zbMATH Keywords: finite-difference method
zbMATH Keywords: refinements
zbMATH Keywords: scaling
zbMATH Keywords: steady state transport
zbMATH Keywords: numerical stability
Wikidata QID: Q57937066
reviewed by: L. M. Berkovich
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90095-2
OpenAlex ID: W1971127013
description: scientific article; zbMATH DE number 4039225