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A model for reversible reaction in a subdiffusive regime

J. Math. Phys. 50, 102708 (2009); doi:10.1063/1.3236682

Published 13 October 2009

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Xicheng Li1,2 and Mingyu Xu3
1Department of Engineering Mechanics, College of Civil Engineering, Hohai University, No. 1 XiKang Road, Nanjing, Jiangsu, People's Republic of China
2Department of Mathematics, College of Sciences, Hohai University, No. 1 XiKang Road, Nanjing, Jiangsu, People's Republic of China
3Institute of Applied Mathematics, School of Mathematics, Shandong University, Jinan 250100, People's Republic of China

In this study, a model of reversible reaction in subdiffusive regime is set up by incorporating a reversible reaction term to a subdiffusion equation. Some models discussed previously are special cases of the model here and can be obtained by selecting proper parameters in the equations. Two different forms of the solution are given among which one is more suitable for computation. Though the physical interpretation is not clear, the discussions show that it is reasonable for describing the reaction-diffusion process. ©2009 American Institute of Physics
History: Received 19 June 2009; accepted 31 August 2009; published 13 October 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/102708/1
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KEYWORDS and PACS

Keywords
PACS
  • 82.20.-w
    Chemical kinetics and dynamics
  • 82.30.-b
    Specific chemical reactions; reaction mechanisms
  • YEAR: 2009

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PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
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