Abstract
This book is about the application of digital simulation to electrochemical problems. The term “simulation” came into wide use with the advent of analog computers, which could produce electrical signals that followed mathematical functions to describe or model a given physical system [1–3], and there was even a digital simulator of an analog control circuit for an electrochemical simulation [4]. When digital computers became common, people began to do these simulations digitally and called this digital simulation. Most commonly we simulate electrochemical transport problems, which are difficult to solve analytically in all but a few model system cases—when things get more complicated, as they do in real electrochemical cells, problems may not be solvable algebraically, yet we still want answers.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bucur RV, Covaci I, Miron C (1964) Die Modellierung der Elektrolyse bei konstantem Strom im Falle ebener, endlicher Diffusion mit Hilfe des Analogrechners. J Electroanal Chem 8:277–285
Holub K, Němec L (1966) The analog method for solution of problems involving diffusion to the electrode. I. Diffusion to a sphere with Langmurian adsorption solved by analog method. J Electroanal Chem 11:1–11
Kabakchi SA, Filinovskii VY (1972) Simulation of convection diffusion processes close to a rotating disk electrode by means of a Model MN-7 analog computer. Sov Electrochem 8:1390–1394
Klinger J, Conway BE, Angerstein-Kozlowska H (1978) Procedures for computer simulation of kinetics of electrochemical surface processes. Comput Chem 2:117–129
Fick A (1855) Ueber diffusion. Pogg Ann 94:59–86
Fourier F (1822) Théorie Analytique de la Chaleur, vol I. Didot, Pere et Fils, Paris
Richardson LF (1911) The approximate arithmetical solution by finite differences of physical problems involving differential equations, with an application to the stresses in a masonry dam. Philos Trans R Soc Lond Ser A 210:307–357
Courant R, Friedrichs K, Lewy H (1928) Über die partiellen Differenzengleichungen der mathematischen Physik. Math Ann 100:32–74
Emmons HW (1944) The numerical solution of partial differential equations. Quart Appl Math 2:173–195
Lapidus L, Pinder GF (1982) Numerical solution of partial differential equations in science and engineering. Wiley, New York
Smith GD (1985) Numerical solution of partial differential equations, 3rd edn. Oxford University Press, Oxford
Feldberg SW, Auerbach C (1964) Model for current reversal chronopotentiometry with second-order kinetic complications. Anal Chem 36:505–509
Randles JEB (1948) A cathode-ray polarograph. Part II - the current-voltage curves. Trans Faraday Soc 44:327–338
Feldberg SW (1969) Digital simulation: a general method for solving electrochemical diffusion-kinetic problems. In: Bard AJ (ed) Electroanalytical chemistry, vol 3. Marcel Dekker, New York, pp 199–296
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Britz, D., Strutwolf, J. (2016). Introduction. In: Digital Simulation in Electrochemistry. Monographs in Electrochemistry. Springer, Cham. https://doi.org/10.1007/978-3-319-30292-8_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-30292-8_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-30290-4
Online ISBN: 978-3-319-30292-8
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)