The explicit finite difference method is widely usedin simulating electroanalytical experiments; however, in many cases the required computation amount becomes too large. Two means of overcoming this difficulty are described in this paper. In the first, a nonuniform space-time grid is built up. If the size of space elements Increases at increasing distance from the electrode according to a geometrical progression, It Is possible to achieve also a nonuniform time discretization, such that the species concentrations are modified with a variable frequency decreasing at increasing distance from the electrode. In the second, the transient behavior of the electrode boundary is improved leading to accurate values in the computed response even at the early points after a sudden change In equilibrium conditions. Efficiency and accuracy of the model are tested in simulating different electrode mechanisms with different electroanalytical techniques.