Abstract
AbstractThe 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 DM. 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.
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