Solutions of Fractional Diffusion Equations and Cattaneo-Hristov Diffusion Model

Solutions of Fractional Diffusion Equations and Cattaneo-Hristov Diffusion Model

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The analytical solutions of the fractional diffusion equations in one and two-dimensional spaces have been proposed. The analytical solution of the Cattaneo-Hristov diffusion model with the particular boundary conditions has been suggested. In general, the numerical methods have been used to solve t...

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Main Author: Ndolane Sene
Format: Article
Language:English
Published: Etamaths Publishing 2019-03-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1832
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spelling doaj-72b5292752074255b28033ed0eaea7af2021-08-26T13:44:39ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392019-03-01172191207363Solutions of Fractional Diffusion Equations and Cattaneo-Hristov Diffusion ModelNdolane SeneThe analytical solutions of the fractional diffusion equations in one and two-dimensional spaces have been proposed. The analytical solution of the Cattaneo-Hristov diffusion model with the particular boundary conditions has been suggested. In general, the numerical methods have been used to solve the fractional diffusion equations and the Cattaneo-Hristov diffusion model. The Laplace and the Fourier sine transforms have been used to get the analytical solutions. The analytical solutions of the classical diffusion equations and the Cattaneo-Hristov diffusion model obtained when the order of the fractional derivative converges to 1 have been recalled. The graphical representations of the analytical solutions of the fractional diffusion equations and the Cattaneo-Hristov diffusion model have been provided.http://etamaths.com/index.php/ijaa/article/view/1832
collection DOAJ
language English
format Article
sources DOAJ
author Ndolane Sene
spellingShingle Ndolane Sene
Solutions of Fractional Diffusion Equations and Cattaneo-Hristov Diffusion Model
International Journal of Analysis and Applications
author_facet Ndolane Sene
author_sort Ndolane Sene
title Solutions of Fractional Diffusion Equations and Cattaneo-Hristov Diffusion Model
title_short Solutions of Fractional Diffusion Equations and Cattaneo-Hristov Diffusion Model
title_full Solutions of Fractional Diffusion Equations and Cattaneo-Hristov Diffusion Model
title_fullStr Solutions of Fractional Diffusion Equations and Cattaneo-Hristov Diffusion Model
title_full_unstemmed Solutions of Fractional Diffusion Equations and Cattaneo-Hristov Diffusion Model
title_sort solutions of fractional diffusion equations and cattaneo-hristov diffusion model
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2019-03-01
description The analytical solutions of the fractional diffusion equations in one and two-dimensional spaces have been proposed. The analytical solution of the Cattaneo-Hristov diffusion model with the particular boundary conditions has been suggested. In general, the numerical methods have been used to solve the fractional diffusion equations and the Cattaneo-Hristov diffusion model. The Laplace and the Fourier sine transforms have been used to get the analytical solutions. The analytical solutions of the classical diffusion equations and the Cattaneo-Hristov diffusion model obtained when the order of the fractional derivative converges to 1 have been recalled. The graphical representations of the analytical solutions of the fractional diffusion equations and the Cattaneo-Hristov diffusion model have been provided.
url http://etamaths.com/index.php/ijaa/article/view/1832
work_keys_str_mv AT ndolanesene solutionsoffractionaldiffusionequationsandcattaneohristovdiffusionmodel
_version_ 1721193489958436864

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