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Digital Simulation of Two‐Dimensional Mass Transfer Problems in Electrochemistry Using the Extrapolation Method
Author(s) -
Strutwolf Jörg,
Williams David E.
Publication year - 1999
Publication title -
electroanalysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.574
H-Index - 128
eISSN - 1521-4109
pISSN - 1040-0397
DOI - 10.1002/(sici)1521-4109(199906)11:7<487::aid-elan487>3.0.co;2-k
Subject(s) - extrapolation , diffusion , relaxation (psychology) , mass transfer , finite difference method , stability (learning theory) , finite difference , electrochemistry , mathematics , electrode , computer science , mathematical analysis , chemistry , mechanics , thermodynamics , physics , psychology , social psychology , machine learning
In this article we report the application of the extrapolation method to electrochemical problems involving two‐dimensional mass transfer. The extrapolation method is based on a combination of fully implicit difference schemes and was previously successfully used in solving electrochemical processes including linear diffusion. The diffusion equation to a microband electrode under diffusion controlled conditions is solved by the extrapolation method and the alternating implicit direction technique. The results are compared. Both finite difference methods have the same order of accuracy but the extrapolation technique has a higher order of stability making it preferable for stiff relaxation problems and for an accurate simulation of short time behavior.