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

An attractive numerical method - the finite analytical (FA) numerical method for diffusion in electrochemical problems - is developed, Unlik e finite-difference or finite-element methods, the discrete algebraic equation is obtained from the analytical solution for each local eleme nt in the FA method. These yield a fast and accurate numerical method applied to electrochemical diffusion problems. The FA method is suitab le for a simple electrode reaction with any value of heterogeneous ele ctron 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 th is paper. The chronoamperograms and cyclic voltammograms were computed by the FA method and the results were compared with those in the lite rature.