Diffusion process modeling by using fractional-order models

نویسندگان

  • Dominik Sierociuk
  • Tomas Skovranek
  • Michal Macias
  • Igor Podlubny
  • Ivo Petras
  • Andrzej Dzielinski
  • Pawel Ziubinski
چکیده

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. 2014 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/).

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 257  شماره 

صفحات  -

تاریخ انتشار 2015