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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Power Series Solution for a Two-step Reactive-diffusive Equation with Variable Pre-exponential Factor

E.A. Adebile, O.K. Koriko and U.S. Idiong

Abstract

We discussed in this research a power series method for solution of a two-step reactive-diffusive equation with variable pre-exponential factor. A transformation was used to fit in the geometry of the model to allow an asymptotic series expansion which is invoked in a two compartmental regions with respect to the spatial variable. Adequate matching conditions were used at the interface between the two regions. The results were displayed graphically and compared with the previous work in the literature.

Journal of Mathematics and Statistics
Volume 4 No. 2, 2008, 65-69

DOI: https://doi.org/10.3844/jmssp.2008.65.69

Submitted On: 18 March 2008 Published On: 30 June 2008

How to Cite: Adebile, E., Koriko, O. & Idiong, U. (2008). Power Series Solution for a Two-step Reactive-diffusive Equation with Variable Pre-exponential Factor . Journal of Mathematics and Statistics, 4(2), 65-69. https://doi.org/10.3844/jmssp.2008.65.69

Open AccessCopyright: © 2008 E.A. Adebile, O.K. Koriko and U.S. Idiong. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Reactive-diffusive equation
  • two-step reaction
  • exothermic chemical reaction
  • variable pre-exponential factor