FINITE ANALYTIC NUMERICAL METHOD - A NEW NUMERICAL SIMULATION METHOD FOR ELECTROCHEMICAL PROBLEMS

摘要

An attractive numerical method - the finite analytical (FA) numerical method for diffusion in electrochemical problems - is developed, Unlike finite-difference or finite-element methods, the discrete algebraic equation is obtained from the analytical solution for each local element in the FA method. These yield a fast and accurate numerical method applied to electrochemical diffusion problems. The FA method is suitable for a simple electrode reaction with any value of heterogeneous electron transfer kinetic-parameters or electrode reaction with a coupled chemical reaction. The problems of transport to inlaid disk and band microelectrodes controlled by diffusion and kinetics are studied in this paper. The chronoamperograms and cyclic voltammograms were computed by the FA method and the results were compared with those in the literature. [References: 26]