Numerical Method and Analysis of Consistency for Electrodiffusion Problem

Numerical procedure based on method of lines for time-dependent electrodiffusion transport is developed. Finite difference space discretization with suitably selected weights based on a non-uniform grid is applied. Consistency of this method and the method put forward by Brumleve and Buck are analyz...

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Bibliographic Details
Main Authors: Filipek, R, Szyszkiewicz, K, Danielewski, M, Lewenstam, A
Format: Conference Proceeding
Language:English
Online Access:Get full text
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Summary:Numerical procedure based on method of lines for time-dependent electrodiffusion transport is developed. Finite difference space discretization with suitably selected weights based on a non-uniform grid is applied. Consistency of this method and the method put forward by Brumleve and Buck are analyzed and compared. The resulting stiff system of ODEs is effectively solved using the Radau IIa integrator. The applications to selected electrochemical systems: liquid junction, bi-ionic case and fused salts have been tested. Results for ion-selective electrodes are demonstrated.
ISSN:0094-243X
DOI:10.1063/1.2836115