The two-dimensional Saul'yev method of simulating processes at an ultramicrodisk electrode is compared with the fully implicit backward differentiation method started with a few backward implicit steps, and an alternating direction implicit method. 2D Saul'yev is convenient to program and although it is significantly slower in execution than the other two methods, it still executes in reasonable time, and yields equally good results with a suitable choice of discrete intervals, and despite its inherent propagation problem, and a certain restriction in the relationship of the spatial and temporal intervals. Saul'yev was implemented for the diffusion limited potential step experiment, as well as linear sweep voltammetry for a reversible system. (C) 2017 Elsevier Ltd. All rights reserved.