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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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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
score 13.222552

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