New Iterative Method for Fractional Gas Dynamics and Coupled Burger's Equations

This paper presents the approximate analytical solutions to solve the nonlinear gas dynamics and coupled Burger's equations with fractional time derivative. By using initial values, the explicit solutions of the equations are solved by using a reliable algorithm. Numerical results show that the...

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Detalles Bibliográficos
Autor principal: Al-luhaibi, Mohamed S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2015
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4391695/
https://www.ncbi.nlm.nih.gov/pubmed/25884018
http://dx.doi.org/10.1155/2015/153124
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author Al-luhaibi, Mohamed S.
author_facet Al-luhaibi, Mohamed S.
author_sort Al-luhaibi, Mohamed S.
collection PubMed
description This paper presents the approximate analytical solutions to solve the nonlinear gas dynamics and coupled Burger's equations with fractional time derivative. By using initial values, the explicit solutions of the equations are solved by using a reliable algorithm. Numerical results show that the new iterative method is easy to implement and accurate when applied to time-fractional partial differential equations.
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spelling pubmed-43916952015-04-16 New Iterative Method for Fractional Gas Dynamics and Coupled Burger's Equations Al-luhaibi, Mohamed S. ScientificWorldJournal Research Article This paper presents the approximate analytical solutions to solve the nonlinear gas dynamics and coupled Burger's equations with fractional time derivative. By using initial values, the explicit solutions of the equations are solved by using a reliable algorithm. Numerical results show that the new iterative method is easy to implement and accurate when applied to time-fractional partial differential equations. Hindawi Publishing Corporation 2015 2015-03-26 /pmc/articles/PMC4391695/ /pubmed/25884018 http://dx.doi.org/10.1155/2015/153124 Text en Copyright © 2015 Mohamed S. Al-luhaibi. 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
Al-luhaibi, Mohamed S.
New Iterative Method for Fractional Gas Dynamics and Coupled Burger's Equations
title New Iterative Method for Fractional Gas Dynamics and Coupled Burger's Equations
title_full New Iterative Method for Fractional Gas Dynamics and Coupled Burger's Equations
title_fullStr New Iterative Method for Fractional Gas Dynamics and Coupled Burger's Equations
title_full_unstemmed New Iterative Method for Fractional Gas Dynamics and Coupled Burger's Equations
title_short New Iterative Method for Fractional Gas Dynamics and Coupled Burger's Equations
title_sort new iterative method for fractional gas dynamics and coupled burger's equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4391695/
https://www.ncbi.nlm.nih.gov/pubmed/25884018
http://dx.doi.org/10.1155/2015/153124
work_keys_str_mv AT alluhaibimohameds newiterativemethodforfractionalgasdynamicsandcoupledburgersequations

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