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Diffusion process modeling by using fractional-order models

delete2015-04-01
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OA
AI
D
Dominik Sierociuk
T
Tomáš Škovránek
M
Michał Macias
I
Igor Podlubný
I
Ivo Petráš *
A
Andrzej Dzieliński
P
Paweł Ziubiński
DOI:10.1016/j.amc.2014.11.028delete
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Abstract

Abstract

En 中文
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. (C) 2014 The Authors. Published by Elsevier Inc.
Keywords:
Diffusion process
RC network
Fractional calculus
Matlab
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Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

T
technical university kosice
Scholars:
2.7K
Papers: 1.8K
Citations: 6
W
Warsaw University of Technology
Scholars:
8.3K
Papers: 7.2K
Citations: 5.5K