Table Of ContentMonographs in Electrochemistry
Series Editor: F. Scholz
Lesław K. Bieniasz
Modelling
Electroanalytical
Experiments
by the Integral
Equation Method
Modelling Electroanalytical Experiments
by the Integral Equation Method
Monographs in Electrochemistry
SeriesEditor:FritzScholz,UniversityofGreifswald,Germany
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Lesław K. Bieniasz
Modelling Electroanalytical
Experiments by the Integral
Equation Method
123
LesławK.Bieniasz
CracowUniversityofTechnology
Cracow
Poland
ISSN1865-1836 ISSN1865-1844(electronic)
ISBN978-3-662-44881-6 ISBN978-3-662-44882-3(eBook)
DOI10.1007/978-3-662-44882-3
SpringerHeidelbergNewYorkDordrechtLondon
LibraryofCongressControlNumber:2014957755
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Idedicatethisbooktothememoryofmy
mother,Maria
Preface
Theoretical modelling of transient electroanalytical experiments is commonly
accomplishedbyformulatingandsolvinginitialorinitial-boundaryvalueproblems
thatdescribetransportofreactants,homogeneousandheterogeneousreactions,and
otherphenomenatakingplaceinelectrochemicalsystems.Theconversionofthese
problemsintointegralequations,subsequentlysolvedanalyticallyornumerically,is
aclassicalmodellingmethodwhichhascontributedsignificantlytothedevelopment
of electroanalytical techniques. Although this method has limitations (compared
to direct solutions of differential equations by finite difference, finite element, or
similar methods),it can be more rewarding(in cases when it is applicable)owing
to additional theoretical insights that it offers. It can also bring a reduction of
the costs of numerical simulations, albeit at the expense of extra human effort
neededforthederivationoftheintegralequations.Themethodisthereforeworthy
of application and development. Unfortunately for anybody willing to learn and
use the method, its theoretical principles and example applications are scattered
in the electrochemical literature, and none of the existing textbooks provides its
comprehensive description. Even the last edition of the monograph by Dieter
Britz, “Digital Simulation in Electrochemistry”(Springer,Berlin, 2005),which is
currentlythemostthoroughcompendiumofnumericalmethodsusedforsimulating
transientexperiments,devotesonlytwopagestotheintegralequationmethod.
Atthesametime,integralequationsarisinginelectroanalyticalchemistryremain
almostunknowntomathematiciansorcomputationalscientistsengagedinstudiesof
integralequations,andarerarelyusedasexamples,orasaninspirationforresearch.
The present book is intended to help electrochemists, mathematicians, and
computational scientists, to get acquainted with the integral equation method in
electroanalyticalchemistry,byprovidinga(hopefully)comprehensivestate-of-the-
art overview of the method and its applications. It is hoped that the book will
stimulate interdisciplinaryresearch,resultingin newdevelopmentsof the method,
andenlargementofitsapplicationscope.
Cracow,Poland LesławK.Bieniasz
July2014
vii
Acknowledgements
I wish to thank all, the personal contacts or correspondence with whom
have helped me, over the years, to prepare this book. They are (in alpha-
betical order): Dieter Britz, Davis Cope, Alexey Davydov, Milivoj Lovric´,
Peter Mahon, Valentin Mircˇeski, Michael Mirkin, Janice Myland, Keith Oldham,
Waldemar Rachowicz, Palghat Ramachandran, Zdeneˇk Samec, Jörg Strutwolf,
OndˇrejWein,GuntherWittstock.
IamparticularlygratefultoProf.DieterBritzandProf.MarianJaskułafortheir
commentsresultingfromreadinganearlydraftofthisbook.
I apologise for any possible omission of important citations or results in this
book.AlthoughIhavedevotedalotoftimetocollectingliterature,onecanneverbe
sureifsucheffortisfullysuccessful.InafewcasesIhavenotbeenabletoaccess
thesourcematerialslistedindatabasesorontheInternet.Iwillappreciatefeedback
fromtheReadersandindicationofanyremainingflawsinthisbook.
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