Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients

We implement relatively analytical methods, the homotopy perturbation method and the variational iteration method, for solving singular fractional partial differential equations of fractional order. The process of the methods which produce solutions in terms of convergent series is explained. The fr...

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Main Authors:	Asma Ali, Elbeleze, Bachok M., Taib, Adem, Kilicman
Format:	Article
Language:	English
Published:	Hindawi Publishing Corporation 2015
Subjects:	Perturbation Technique
Online Access:	http://ddms.usim.edu.my/handle/123456789/8325
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Institution:	Universiti Sains Islam Malaysia
Language:	English

id	my.usim-8325
record_format	dspace
spelling	my.usim-83252017-02-23T03:32:29Z Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients Asma Ali, Elbeleze, Bachok M., Taib, Adem, Kilicman, Perturbation Technique We implement relatively analytical methods, the homotopy perturbation method and the variational iteration method, for solving singular fractional partial differential equations of fractional order. The process of the methods which produce solutions in terms of convergent series is explained. The fractional derivatives are described in Caputo sense. Some examples are given to show the accurate and easily implemented of these methods even with the presence of singularities. 2015-06-11T02:33:53Z 2015-06-11T02:33:53Z 2014-01-01 Article 1024-123X 1563-5147 http://ddms.usim.edu.my/handle/123456789/8325 en Hindawi Publishing Corporation
institution	Universiti Sains Islam Malaysia
building	USIM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universit Sains Islam i Malaysia
content_source	USIM Institutional Repository
url_provider	http://ddms.usim.edu.my/
language	English
topic	Perturbation Technique
spellingShingle	Perturbation Technique Asma Ali, Elbeleze, Bachok M., Taib, Adem, Kilicman, Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients
description	We implement relatively analytical methods, the homotopy perturbation method and the variational iteration method, for solving singular fractional partial differential equations of fractional order. The process of the methods which produce solutions in terms of convergent series is explained. The fractional derivatives are described in Caputo sense. Some examples are given to show the accurate and easily implemented of these methods even with the presence of singularities.
format	Article
author	Asma Ali, Elbeleze, Bachok M., Taib, Adem, Kilicman,
author_facet	Asma Ali, Elbeleze, Bachok M., Taib, Adem, Kilicman,
author_sort	Asma Ali, Elbeleze,
title	Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients
title_short	Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients
title_full	Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients
title_fullStr	Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients
title_full_unstemmed	Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients
title_sort	numerical methods for fractional order singular partial differential equations with variable coefficients
publisher	Hindawi Publishing Corporation
publishDate	2015
url	http://ddms.usim.edu.my/handle/123456789/8325
_version_	1645152393017425920

Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients

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