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Single Alternating Group Explicit (SAGE) Method for Electrochemical Finite Difference Digital Simulation
Author(s) -
Deng ZhaoXiang,
Lin XiangQin,
Tong ZhongHua
Publication year - 2002
Publication title -
chinese journal of chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.28
H-Index - 41
eISSN - 1614-7065
pISSN - 1001-604X
DOI - 10.1002/cjoc.20020200309
Subject(s) - electrochemistry , chemistry , homogeneous , stability (learning theory) , space (punctuation) , diffusion , mathematics , statistical physics , thermodynamics , mathematical analysis , physics , computer science , electrode , machine learning , operating system
The four different schemes of Group Explicit Method (GEM): GER, GEL, SAGE and DAGE have been claimed to be unstable when employed for electrochemical digital simulations with large model diffusion coefficient D M . However, in this investigation, in spite of the conditional stability of GER and GEL, the SAGE scheme, which is a combination of GEL and GER, was found to be unconditionally stable when used for simulations of electrochemical reaction‐diffusions and had a performance comparable with or even better than the Fast Quasi Explicit Finite Difference Method (FQEFD) in some aspects. Corresponding differential equations of SAGE scheme for digital simulations of various electrochemical mechanisms with both uniform and exponentially expanded space units were established. The effectiveness of the SAGE method was further demonstrated by the simulations of an EC and a catalytic mechanism with very large homogeneous rate constants.