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High-order spatial discretisations in electrochemical digital simulation. Part 3. Combination with the explicit Runge-Kutta algorithm
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UNSPECIFIED (2002) High-order spatial discretisations in electrochemical digital simulation. Part 3. Combination with the explicit Runge-Kutta algorithm. COMPUTERS & CHEMISTRY, 26 (2). pp. 97-103. ISSN 0097-8485.
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Abstract
The application of fourth-order finite difference discretisations of the second derivative of concentration with respect to distance from the electrode. in electrochemical digital simulations, is examined further. In the bulk of the diffusion space., a central 5-point scheme is used, and 6-point asymmetric schemes are used at the edges. In this paper, four Runge-Kutta schemes have been used for the time integration. The observed efficiencies, for the Cottrell experiment and chronopotentiometry, are satisfactory, going beyond those for the 3-point scheme. However, it is third-order Runge-Kutta, rather than the fourth-order scheme, which is the most efficient. the two resulting in practically the same errors. This is probably due to the computational procedure where a constant ratio of deltat/h(2) was used. (C) 2002 Elsevier Science Ltd. All rights reserved.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software Q Science > QD Chemistry |
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Journal or Publication Title: | COMPUTERS & CHEMISTRY | ||||
Publisher: | PERGAMON-ELSEVIER SCIENCE LTD | ||||
ISSN: | 0097-8485 | ||||
Official Date: | January 2002 | ||||
Dates: |
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Volume: | 26 | ||||
Number: | 2 | ||||
Number of Pages: | 7 | ||||
Page Range: | pp. 97-103 | ||||
Publication Status: | Published |
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