Bk. Jin et al., FINITE ANALYTIC NUMERICAL-METHOD - A NEW NUMERICAL-SIMULATION METHOD FOR ELECTROCHEMICAL PROBLEMS, Journal of electroanalytical chemistry [1992], 411(1-2), 1996, pp. 19-27
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.