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Modelling electroanalytical experime...

Bieniasz, Leslaw K.

Modelling electroanalytical experiments by the integral equation method

Record Type:	Electronic resources : Monograph/item
Title/Author:	Modelling electroanalytical experiments by the integral equation methodby Leslaw K. Bieniasz.
Author:	Bieniasz, Leslaw K.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg :2015.
Description:	xvii, 406 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Electrochemical analysisMathematical models.
Online resource:	http://dx.doi.org/10.1007/978-3-662-44882-3
ISBN:	9783662448823 (electronic bk.)

Modelling electroanalytical experiments by the integral equation method
Bieniasz, Leslaw K.

Modelling electroanalytical experiments by the integral equation method[electronic resource] /by Leslaw K. Bieniasz. - Berlin, Heidelberg :Springer Berlin Heidelberg :2015. - xvii, 406 p. :ill. (some col.), digital ;24 cm. - Monographs in electrochemistry,1865-1836. - Monographs in electrochemistry..

Introduction -- Basic Assumptions and Equations of Electroanalytical Models -- Mathematical Preliminaries -- Models Independent of Spatial Coordinates -- Models Involving One-Dimensional Diffusion -- Models Involving One-Dimensional Convection-Diffusion -- Models Involving Two- and Three-Dimensional Diffusion -- Models Involving Transport Coupled with Homogeneous Reactions -- Models Involving Distributed and Localised Species -- Models Involving Additional Complications -- Analytical Solution Methods -- Numerical Solution Methods -- Appendices.

This comprehensive presentation of the integral equation method as applied to electro-analytical experiments is suitable for electrochemists, mathematicians and industrial chemists. The discussion focuses on how integral equations can be derived for various kinds of electroanalytical models. The book begins with models independent of spatial coordinates, goes on to address models in one dimensional space geometry and ends with models dependent on two spatial coordinates. Bieniasz considers both semi-infinite and finite spatial domains as well as ways to deal with diffusion, convection, homogeneous reactions, adsorbed reactants and ohmic drops. Bieniasz also discusses mathematical characteristics of the integral equations in the wider context of integral equations known in mathematics. Part of the book is devoted to the solution methodology for the integral equations. As analytical solutions are rarely possible, attention is paid mostly to numerical methods and relevant software. This book includes examples taken from the literature and a thorough literature overview with emphasis on crucial aspects of the integral equation methodology.

ISBN: 9783662448823 (electronic bk.)

Standard No.: 10.1007/978-3-662-44882-3doiSubjects--Topical Terms:

712852
Electrochemical analysis
--Mathematical models.

LC Class. No.: QD115

Dewey Class. No.: 543.4

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520 $a This comprehensive presentation of the integral equation method as applied to electro-analytical experiments is suitable for electrochemists, mathematicians and industrial chemists. The discussion focuses on how integral equations can be derived for various kinds of electroanalytical models. The book begins with models independent of spatial coordinates, goes on to address models in one dimensional space geometry and ends with models dependent on two spatial coordinates. Bieniasz considers both semi-infinite and finite spatial domains as well as ways to deal with diffusion, convection, homogeneous reactions, adsorbed reactants and ohmic drops. Bieniasz also discusses mathematical characteristics of the integral equations in the wider context of integral equations known in mathematics. Part of the book is devoted to the solution methodology for the integral equations. As analytical solutions are rarely possible, attention is paid mostly to numerical methods and relevant software. This book includes examples taken from the literature and a thorough literature overview with emphasis on crucial aspects of the integral equation methodology.
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