The application of a simulation procedure which combines the Hopscotch algorithm with a hyperbolic space grid in solving the initial value problems at an inlaid disk electrode for electrochemical processes of any reversibility degree is discussed. The importance of the resolution of the space and time grid in connection with the use of the Hopscotch algorithm and of the Butler-Volmer equation to gain good accuracy, is stressed. The improvements introduced to define analytically the diffusion layer at different mass transfer conditions and to save computing time with the use of an exponentially expanding time grid and a cubic-spline interpolation make the simulation algorithm suitable to regression procedures for parameter estimation.

Performance of a Numerical Method Based on the Hopscotch Algorithm and on an Oblate Spheroidal Space Coordinate-Expanding Time Grid for Simulation of Voltammetric Curves at an Inlaid Disk Microelectrode

PASTORE, PAOLO;
1991

Abstract

The application of a simulation procedure which combines the Hopscotch algorithm with a hyperbolic space grid in solving the initial value problems at an inlaid disk electrode for electrochemical processes of any reversibility degree is discussed. The importance of the resolution of the space and time grid in connection with the use of the Hopscotch algorithm and of the Butler-Volmer equation to gain good accuracy, is stressed. The improvements introduced to define analytically the diffusion layer at different mass transfer conditions and to save computing time with the use of an exponentially expanding time grid and a cubic-spline interpolation make the simulation algorithm suitable to regression procedures for parameter estimation.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/124163
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