Explicit finite difference method in simulating electrode processes

The expllclt flnite dlfference method is widely used In slmulatingelectroanalytical experiments; however, In many casesthe required computation amount becomes too large. Twomeans of overcomlng Nhls dlfflculty are descrlbed In this paper.In the first, a nonunlform space-tlme grld ls built up. Ifthe slre of space elements Increases at Increasing dlstancefrom the electrode according to a geometrlcal progression,It Is posslble to achieve also a nonunlform tlme dlscretlzatlon,such that the species concentratlons are modlfled wlth avarlable frequency decreaslng at Increasing distance from theelectrode. In the second, the transient behavior of theelectrode boundary Is improved leading to accurate values inthe computed response even at the early polnts after a suddenchange In equilibrium conditions. Efficlency and accuracyof the model are tesUed in simulating different electrodemechanlsms wlth different electroanalytical techniques.