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High order spatial discretisations in electrochemical digital simulation. 2. Combination with the extrapolation

J Strutwolf1, D Britz

  • 1Department of Chemistry, Christopher-Ingold-Laboratories, University College London, UK. j.strutwolf@ucl.ac.uk

Computers & Chemistry
|August 22, 2001
PubMed
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This study introduces a stable and efficient fourth-order numerical method for electrochemical simulations. The technique achieves high accuracy in minimal time steps for Cottrell and chronopotentiometry simulations.

Area of Science:

  • Electrochemistry
  • Computational Science
  • Numerical Analysis

Background:

  • Electrochemical digital simulations are crucial for analyzing reaction kinetics and mass transport.
  • Accurate numerical methods are needed to model diffusion processes near electrodes.
  • Existing methods may require significant computational resources or time.

Purpose of the Study:

  • To examine the application of fourth-order discretizations for the second derivative of concentration in electrochemical simulations.
  • To develop a stable and efficient numerical scheme for modeling diffusion-controlled electrochemical systems.
  • To assess the accuracy and performance of the proposed method for specific electrochemical techniques.

Main Methods:

  • Utilized fourth-order central five-point schemes in the bulk diffusion space.

Related Experiment Videos

  • Employed six-point asymmetric schemes at the boundaries of the diffusion domain.
  • Applied the scheme with an extrapolation technique based on the backward implicit (BI) algorithm for temporal integration.
  • Assessed stability using both von Neumann and matrix methods.

    • Main Results:

    • The numerical scheme was found to be stable.
    • Exceptional efficiency was achieved for both Cottrell and chronopotentiometry simulations.
    • Four-decimal accuracy was obtained at dimensionless time t = 1 using as few as 3-5 time steps from t = 0.

    Conclusions:

    • The fourth-order discretization scheme combined with extrapolation offers a stable and highly efficient approach for electrochemical digital simulations.
    • This method significantly reduces the number of time steps required to achieve high accuracy, particularly for diffusion-controlled processes.
    • The developed technique provides a valuable tool for researchers in electrochemistry and related fields requiring precise and fast simulations.