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research article

Diffusion Process Modeling by Using Fractional-Order Models

Sierociuk, Dominik
•
Skovranek, Tomas  
•
Macias, Michael
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2015
Applied Mathematics and Computation

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.

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Type
research article
DOI
10.1016/j.amc.2014.11.028
Web of Science ID

WOS:000350996000002

Author(s)
Sierociuk, Dominik
Skovranek, Tomas  
Macias, Michael
Podlubny, Igor
Petras, Ivo
Dzielinski, Andrzej
Ziubinski, Pawel
Date Issued

2015

Publisher

Elsevier

Published in
Applied Mathematics and Computation
Volume

257

Start page

2

End page

11

Subjects

Diffusion process

•

RC network

•

Fractional calculus

•

Matlab

URL

URL

http://bigwww.epfl.ch/publications/sierociuk1501.html

URL

http://bigwww.epfl.ch/publications/sierociuk1501.pdf

URL

http://bigwww.epfl.ch/publications/sierociuk1501.ps
Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LIB  
Available on Infoscience
July 28, 2015
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/116719
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