On solving fractional mobile/immobile equation

On solving fractional mobile/immobile equation

In this article, a numerical efficient method for fractional mobile/immobile equation is developed. The presented numerical technique is based on the compact finite difference method. The spatial and temporal derivatives are approximated based on two difference schemes of orders O ( τ 2 − α ) and O...

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Main Authors: Hossein Pourbashash, Dumitru Baleanu, Maysaa Mohamed Al Qurashi
Format: Article
Language:English
Published: SAGE Publishing 2017-01-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814016688616
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spelling doaj-a9732e3ddf4646d1b05b18fab87463a92020-11-25T03:15:33ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402017-01-01910.1177/168781401668861610.1177_1687814016688616On solving fractional mobile/immobile equationHossein Pourbashash0Dumitru Baleanu1Maysaa Mohamed Al Qurashi2Department of Mathematics, University of Garmsar, Garmsar, IranInstitute of Space Sciences, Magurele-Bucharest, RomaniaDepartment of Mathematics, King Saud University, Riyadh, Saudi ArabiaIn this article, a numerical efficient method for fractional mobile/immobile equation is developed. The presented numerical technique is based on the compact finite difference method. The spatial and temporal derivatives are approximated based on two difference schemes of orders O ( τ 2 − α ) and O ( h 4 ) , respectively. The proposed method is unconditionally stable and the convergence is analyzed within Fourier analysis. Furthermore, the solvability of the compact finite difference approach is proved. The obtained results show the ability of the compact finite difference.https://doi.org/10.1177/1687814016688616
collection DOAJ
language English
format Article
sources DOAJ
author Hossein Pourbashash
Dumitru Baleanu
Maysaa Mohamed Al Qurashi
spellingShingle Hossein Pourbashash
Dumitru Baleanu
Maysaa Mohamed Al Qurashi
On solving fractional mobile/immobile equation
Advances in Mechanical Engineering
author_facet Hossein Pourbashash
Dumitru Baleanu
Maysaa Mohamed Al Qurashi
author_sort Hossein Pourbashash
title On solving fractional mobile/immobile equation
title_short On solving fractional mobile/immobile equation
title_full On solving fractional mobile/immobile equation
title_fullStr On solving fractional mobile/immobile equation
title_full_unstemmed On solving fractional mobile/immobile equation
title_sort on solving fractional mobile/immobile equation
publisher SAGE Publishing
series Advances in Mechanical Engineering
issn 1687-8140
publishDate 2017-01-01
description In this article, a numerical efficient method for fractional mobile/immobile equation is developed. The presented numerical technique is based on the compact finite difference method. The spatial and temporal derivatives are approximated based on two difference schemes of orders O ( τ 2 − α ) and O ( h 4 ) , respectively. The proposed method is unconditionally stable and the convergence is analyzed within Fourier analysis. Furthermore, the solvability of the compact finite difference approach is proved. The obtained results show the ability of the compact finite difference.
url https://doi.org/10.1177/1687814016688616
work_keys_str_mv AT hosseinpourbashash onsolvingfractionalmobileimmobileequation
AT dumitrubaleanu onsolvingfractionalmobileimmobileequation
AT maysaamohamedalqurashi onsolvingfractionalmobileimmobileequation
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