Cyclic voltammetric current functions determined with a prescribed accuracy by the adaptive Huber method for Abel...

Modern electroanalytical applications of cyclic voltammetry require that theoretical current functions be obtainable automatically, efficiently, and with a prescribed accuracy, by computer simulation algorithms. One of the classical simulation approaches relies on formulating and solving relevant integral equations. Numerical solution methods, used for this purpose so far, are nonautomatic and do not provide information about accuracy of the results. The adaptive variant of the Huber method, developed by the present author, can generate theoretical cyclic voltammograms automatically, with a given target accuracy, and more efficiently than the formerly studied patch-adaptive direct simulation method. This is demonstrated using examples of cyclic voltammograms described by the first-kind Abel integral equations. The method is therefore a candidate for automatic integral equation solvers, needed for building a new generation of problem solving environments for electroanalytical chemistry and for widely understood automation of electroanalytical investigations.