Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method

This paper aims to obtain the approximate solution of time-fractional advection-dispersion equation (FADE) involving Jumarie's modification of Riemann-Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides an analytical approximate solution in the form of a co...

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Detalles Bibliográficos
Autores principales: İbiş, Birol, Bayram, Mustafa
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3919056/
https://www.ncbi.nlm.nih.gov/pubmed/24578662
http://dx.doi.org/10.1155/2014/769713
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author İbiş, Birol
Bayram, Mustafa
author_facet İbiş, Birol
Bayram, Mustafa
author_sort İbiş, Birol
collection PubMed
description This paper aims to obtain the approximate solution of time-fractional advection-dispersion equation (FADE) involving Jumarie's modification of Riemann-Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides an analytical approximate solution in the form of a convergent series. Some examples are given and the results indicate that the FVIM is of high accuracy, more efficient, and more convenient for solving time FADEs.
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spelling pubmed-39190562014-02-26 Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method İbiş, Birol Bayram, Mustafa ScientificWorldJournal Research Article This paper aims to obtain the approximate solution of time-fractional advection-dispersion equation (FADE) involving Jumarie's modification of Riemann-Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides an analytical approximate solution in the form of a convergent series. Some examples are given and the results indicate that the FVIM is of high accuracy, more efficient, and more convenient for solving time FADEs. Hindawi Publishing Corporation 2014-01-22 /pmc/articles/PMC3919056/ /pubmed/24578662 http://dx.doi.org/10.1155/2014/769713 Text en Copyright © 2014 B. İbiş and M. Bayram. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
İbiş, Birol
Bayram, Mustafa
Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method
title Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method
title_full Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method
title_fullStr Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method
title_full_unstemmed Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method
title_short Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method
title_sort approximate solution of time-fractional advection-dispersion equation via fractional variational iteration method
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3919056/
https://www.ncbi.nlm.nih.gov/pubmed/24578662
http://dx.doi.org/10.1155/2014/769713
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AT bayrammustafa approximatesolutionoftimefractionaladvectiondispersionequationviafractionalvariationaliterationmethod

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