Modelling Electroanalytical Experiments by the Integral Equation Method

  • Lesław K. Bieniasz

Part of the Monographs in Electrochemistry book series (MOEC)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Lesław K. Bieniasz
    Pages 1-7
  3. Lesław K. Bieniasz
    Pages 49-60
  4. Lesław K. Bieniasz
    Pages 61-78
  5. Lesław K. Bieniasz
    Pages 79-125
  6. Lesław K. Bieniasz
    Pages 127-141
  7. Lesław K. Bieniasz
    Pages 143-155
  8. Lesław K. Bieniasz
    Pages 199-232
  9. Lesław K. Bieniasz
    Pages 233-247
  10. Lesław K. Bieniasz
    Pages 249-268
  11. Lesław K. Bieniasz
    Pages 269-304
  12. Back Matter
    Pages 305-406

About this book

Introduction

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.

Keywords

Concentration-Flux Relationship Convection Diffusion PDE Convection-Diffusion Dropping Mercury Electrode Finite Spatial Domains Laplace Transform Approach Non-Linear Homogeneous Reaction Kinetics Ohmic Drops Rotating Disk Electrode Uncomplicated Diffusion

Authors and affiliations

  • Lesław K. Bieniasz
    • 1
  1. 1.Cracow University of TechnologyCracowPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-44882-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2015
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Chemistry and Materials Science
  • Print ISBN 978-3-662-44881-6
  • Online ISBN 978-3-662-44882-3
  • Series Print ISSN 1865-1836
  • Series Online ISSN 1865-1844
  • About this book
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