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Erschienen in:
2015 | OriginalPaper | Buchkapitel
1. Introduction
verfasst von : Lesław K. Bieniasz
Erschienen in: Modelling Electroanalytical Experiments by the Integral Equation Method
Verlag: Springer Berlin Heidelberg
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Abstract
This book is devoted to the theoretical modelling of transient experiments in electroanalytical chemistry, by means of the mathematical approach called the method of integral equations. In electroanalytical experiments one usually perturbs the interface studied by a particular potential-time (or current-time) signal, and observes the current-time (or potential-time) response. The goal is to identify electrochemical and non-electrochemical reactions and other physico-chemical processes occurring at the interface. Theoretical modelling of the experiments is usually based on formulating and solving relevant initial boundary value problems. In the integral equation method these are converted to integral equations that are subsequently solved (most often numerically). The advantage of the method is an increased mathematical insight into the models considered, and (frequently) the reduction of the computational cost, compared to direct numerical solutions of partial differential equations.