A short introduction to digital simulations in electrochemistry: simulating the Cottrell experiment in NI LabVIEW

Keywords: Explicit and implicit Euler method, Runge–Kutta methods, Crank–Nicolson method, Padé approximants


A brief introduction to the use of digital simulations in electrochemistry is given by a detailed description of the simulation of Cottrell’s experiment in the LabVIEW programming language. A step-by-step approach is followed and different simulation techniques (explicit and implicit Euler, Runge–Kutta and Crank–Nicolson methods) are applied. The applied techniques are introduced and discussed on the basis of Padé approximants. The paper might be found useful by undergraduate and graduate students familiarizing themselves with the digital simulation of electrochemical problems, as well as by university lecturers involved with the teaching of theoretical electrochemistry.


Download data is not yet available.


S. Vesztergom, V. Grozovski, G. G. Láng, P. Broekmann, 6th Regional Symposium on Electrochemistry for South-East Europe, On the Electrolysis of Dilute Solutions of Strong Acids, Balatonkenese, Hungary, 2017, p. 103 (KN103).

V. Grozovski, S. Vesztergom, G. G. Láng, P. Broekmann, Journal of the Electrochemical Society 164 (2017) 3171–3178.

A. J. Bard, L. R. Faulkner, Electrochemical Methods: Fundamentals and Applications, John Wiley & Sons, New York, 2001, pp. 785–807.

D. Britz, J. Strutwolf, Digital Simulation in Electrochemistry, 4th Edition, Springer, Berlin, 2016.

F. G. Cottrell, Zeitschrift für physikalische Chemie 42 (1903) 385–431.

E. Kätelhön, R.G. Compton, Analyst 140 (2015) 2592–2598.

A. J. Bard, Gy. Inzelt, F. Scholz (Eds), Electrochemical Dictionary, Springer, Berlin, 2008, p. 163.

G. W. Johnson, R. Jennings, LabVIEW Graphical Programming, 4th Edition, McGraw-Hill, New York, 2006.

G. A. Baker, P. Graves-Morris, Padé Approximants, Cambridge University Press, Cambridge, 1996.

K. A. Atkinson, An Introduction to Numerical Analysis, John Wiley & Sons, New York, 1989.

J. Crank, P. Nicolson, Proceedings of the Cambridge Philosophical Society, 43 (1947) 50–67.

S. Vesztergom, N. Barankai, N. Kovács, M. Ujvári, Th. Wandlowski, G.G. Láng, Acta Chimica Slovenica 61 (2014) 223–232.

S. Vesztergom, N. Barankai, N. Kovács, M. Ujvári, H. Siegenthaler, P. Broekmann, G. G. Láng, Journal of Solid State Electrochemistry 20 (2016) 3165–3177.

S. Vesztergom, N. Barankai, N. Kovács, M. Ujvári, H. Siegenthaler, P. Broekmann, G. G. Láng, Electrochemistry Communications 68 (2016) 54–58.

6th RSE SEE Special Issue