The dual reciprocity method: simulation of potential step voltammetry at microelectrodes

The dual reciprocity method (DRM) is presented as an efficient and powerful method for the analysis of electrochemical processes occurring under diffusional transport control. This article outlines the theory and numerical details required to apply the DRM for modelling chronoamperometry at microband and microcylinder electrodes. The results obtained are found to be in good agreement with analytical approximations for the two geometries. The benefits of the DRM approach are discussed, including the reduction in dimensionality brought about by the formulation procedure which permits a two dimensional diffusion problem to be modelled using a one dimensional boundary mesh. The flexibility of the method for tackling geometries of complex topography are noted.