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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: Elbeleze, Asma Ali, Kilicman, Adem, M. Taib, Bachok
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2014
Online Access:http://psasir.upm.edu.my/id/eprint/34680/1/Numerical%20Methods%20for%20Fractional%20Order%20Singular%20Partial.pdf
http://psasir.upm.edu.my/id/eprint/34680/
http://www.hindawi.com/journals/mpe/2014/398286/abs/
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spelling my.upm.eprints.346802015-12-18T01:34:31Z http://psasir.upm.edu.my/id/eprint/34680/ Numerical methods for fractional order singular partial differential equations with variable coefficients Elbeleze, Asma Ali Kilicman, Adem M. Taib, Bachok 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. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/34680/1/Numerical%20Methods%20for%20Fractional%20Order%20Singular%20Partial.pdf Elbeleze, Asma Ali and Kilicman, Adem and M. Taib, Bachok (2014) Numerical methods for fractional order singular partial differential equations with variable coefficients. Mathematical Problems in Engineering, 2014. art. no. 398286. pp. 1-8. ISSN 1024-123X; ESSN: 1563-5147 http://www.hindawi.com/journals/mpe/2014/398286/abs/ 10.1155/2014/398286
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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 Elbeleze, Asma Ali
Kilicman, Adem
M. Taib, Bachok
spellingShingle Elbeleze, Asma Ali
Kilicman, Adem
M. Taib, Bachok
Numerical methods for fractional order singular partial differential equations with variable coefficients
author_facet Elbeleze, Asma Ali
Kilicman, Adem
M. Taib, Bachok
author_sort Elbeleze, Asma Ali
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 2014
url http://psasir.upm.edu.my/id/eprint/34680/1/Numerical%20Methods%20for%20Fractional%20Order%20Singular%20Partial.pdf
http://psasir.upm.edu.my/id/eprint/34680/
http://www.hindawi.com/journals/mpe/2014/398286/abs/
_version_ 1643831226498285568
score 13.18916

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