EPFL | Biomedical Imaging Group | Diffusion Processes

Diffusion Process Modeling by Using Fractional-Order Models

D. Sierociuk, T. Skovranek, M. Macias, I. Podlubny, I. Petras, A. Dzielinski, P. Ziubinski

Applied Mathematics and Computation, vol. 257, pp. 2-11, April 15, 2015.

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.

@ARTICLE(http://bigwww.epfl.ch/publications/sierociuk1501.html,
AUTHOR="Sierociuk, D. and Skovranek, T. and Macias, M. and Podlubny, I.
	and Petras, I. and Dzielinski, A. and Ziubinski, P.",
TITLE="Diffusion Process Modeling by Using Fractional-Order Models",
JOURNAL="Applied Mathematics and Computation",
YEAR="2015",
volume="257",
number="",
pages="2--11",
month="April 15,",
note="")

© 2015 Elsevier. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from Elsevier. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.