Single Alternating Group Explicit (SAGE) Method for Electrochemical Finite Difference Digital Simulation

• 来源期刊: 中国化学（英文版）
• 年，卷（期）: 2002,（3）
• 页码范围: 252-262
• 页数: 11页
• 语种: 英文

摘要

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 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 srme 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 homogoneous rate constants.