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.

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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,",
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