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Attaining exponential convergence for the flux error with second- and fourth-order accurate finite-difference equations. Part 3. Application to electrochemical systems comprising second-order chemical reactions

✍ Scribed by Manfred Rudolph

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
199 KB
Volume
26
Category
Article
ISSN
0192-8651

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✦ Synopsis

Abstract

This article demonstrates that exponential convergence of the flux error can be attained with second‐ and fourth‐order accurate finite difference equations even for such electrochemical kinetic‐diffusion systems where difficult‐to‐resolve solution structures occur on account of fast second‐order chemical reactions. Thus, as far as the flux is concerned, the simulation of some example models treated in the literature by means of more sophisticated adaptive grid techniques turns out to be as straightforward as the simulation of a simple system under diffusion control. © 2005 Wiley Periodicals, Inc. J Comput Chem 26: 1193–1204, 2005

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