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

  • Strutwolf J
  • Britz D
  • 5

    Readers

    Mendeley users who have this article in their library.
  • 2

    Citations

    Citations of this article.

Abstract

The application of fourth order discretisations of the second derivative of concentration with respect to distance from the electrode, in electrochemical digital simulations, is examined. In the bulk of the diffusion space, a central five-point scheme is used, and six-point asymmetric schemes are used at the edges. In this paper, the scheme is applied to the extrapolation technique, based on the backward implicit (BI) algorithm for temporal integration, which (with extrapolation) allows higher orders in time as well. The method is found to be stable, using both the von Neumann and matrix methods. Exceptional efficiency is obtained both for Cottrell and chronopotentiometry simulations, requiring as few as 3-5 steps in time, starting at the dimensionless time t = 0 to gain four-decimal accuracy at t = 1. © 2001 Elsevier Science Ltd. All rights reserved.

Author-supplied keywords

  • Extrapolation
  • Finite difference electrochemical digital simulation
  • Five-point
  • High order spatial discretisation

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free