Diffusion process modeling by using fractional-order models

Dominik Sierociuk, Tomas Skovranek, Michal Macias, Igor Podlubny, Ivo Petras, Andrzej Dzielinski and Pawel Ziubinski

Applied Mathematics and Computation, 2015, vol. 257, issue C, 2-11

Abstract: This paper deals with a concept and description of a RC network as an electro-analog model of diffusion process which enables to simulate heat dissipation under different initial and boundary conditions. It is based on well-known analogy between heat and electrical conduction. In the paper are compared analytical solution together with numerical solution and experimentally measured data. For the first time a fractional order model of diffusion process and its modeling via lumped RC network has been used. Simple examples of simulations, measurements and their comparison are shown.

Keywords: Diffusion process; RC network; Fractional calculus; Matlab (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:2-11

DOI: 10.1016/j.amc.2014.11.028

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