Paper Title:

Numerical Aspects of Electrodiffusion Problem Based on Nernst-Planck and Poisson Equations

Periodical Defect and Diffusion Forum (Volumes 323 - 325)
Main Theme Diffusion in Materials - DIMAT 2011
Edited by I. Bezverkhyy, S. Chevalier and O. Politano
Pages 81-86
DOI 10.4028/www.scientific.net/DDF.323-325.81
Citation Janusz Fausek et al., 2012, Defect and Diffusion Forum, 323-325, 81
Online since April, 2012
Authors Janusz Fausek, Krzysztof Szyszkiewicz, Robert Filipek
Keywords Bi-Ionic Case, Electrodiffusion, Inverse Problem, Ion Transport, Ion-Selective Electrode (ISE), Liquid Junction, Method of Lines, Nernst-Planck-Poisson, Sensor
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Abstract

Motivation for this work comes from the application of the inverse method to electrochemical systems. The basic process operating in these systems is electrodiffusion, which can be described by the full form of the Nernst-Planck and Poisson equations. No simplification like electroneutrality assumption is used. Numerical procedure based on the method of lines (MLs) for time dependent electrodiffusion transport is presented with any number of ionic species. The resulting system of ODEs is effectively solved by employing different integrators (Radau IIA, Rosenbrock, SEULEX). Selected electrochemical systems (liquid junction, bi-ionic case, ion selective electrodes (ISE)) are treated. Performance of the integrators is compared.