The ’strongly implicit procedure’ is shown to be a general, easy-to-use, stable and computationally efficient method of solving the mass transport equations necessary to predict transient voltammetric responses of electrode processes to which diffusion, convection and homogeneous chemical reaction may all contribute. The method is illustrated with a diversity of problems relating to electrodes of both micro- and milli-dimensions. In all cases excellent agreement with experiment and/or existing analytical or numerical theory is noted. Comparisons are made with alternative computational methods.