Mathematical modelling of the chronoamperometric response of an array of rectangular microelectrodes

Abstract

A general mathematical model describing the response of an array of flat amperometric electrodes with arbitrary size and spatial distribution at the bottom of a measuring cell with rectangular walls and finite dimensions is outlined. It is based on the three-dimensional diffusion equation with initial and boundary conditions corresponding to the physical situation which was numerically solved by the implicit alternating-direction finite-difference method. The accuracy of the numerical solution was confirmed by theoretical and experimental results obtained by other authors. By comparing the chronoamperometric curves of the individual electrodes and by examining the spatial concentration distr..