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Convergence of variational iteration method for solving singular partial differential equations of fractional order

We are concerned here with singular partial differential equations of fractional order (FSPDEs). The variational iteration method (VIM) is applied to obtain approximate solutions of this type of equations. Convergence analysis of the VIM is discussed. This analysis is used to estimate the maximum ab...

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Main Authors: Asma Ali, Elbeleze,, Bachok M., Taib,, Adel, Kilicman,
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2015
Online Access:http://ddms.usim.edu.my/handle/123456789/8096
http://www.hindawi.com/journals/aaa/2014/518343/
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spelling my.usim-80962017-05-15T03:31:21Z Convergence of variational iteration method for solving singular partial differential equations of fractional order Asma Ali, Elbeleze, Bachok M., Taib, Adel, Kilicman, We are concerned here with singular partial differential equations of fractional order (FSPDEs). The variational iteration method (VIM) is applied to obtain approximate solutions of this type of equations. Convergence analysis of the VIM is discussed. This analysis is used to estimate the maximum absolute truncated error of the series solution. A comparison between the results of VIM solutions and exact solution is given. The fractional derivatives are described in Caputo sense. 2015-05-18T03:07:40Z 2015-05-18T03:07:40Z 2014-01-01 Article 1085-3375 1687-0409 http://ddms.usim.edu.my/handle/123456789/8096 http://www.hindawi.com/journals/aaa/2014/518343/ 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
description We are concerned here with singular partial differential equations of fractional order (FSPDEs). The variational iteration method (VIM) is applied to obtain approximate solutions of this type of equations. Convergence analysis of the VIM is discussed. This analysis is used to estimate the maximum absolute truncated error of the series solution. A comparison between the results of VIM solutions and exact solution is given. The fractional derivatives are described in Caputo sense.
format Article
author Asma Ali, Elbeleze,
Bachok M., Taib,
Adel, Kilicman,
spellingShingle Asma Ali, Elbeleze,
Bachok M., Taib,
Adel, Kilicman,
Convergence of variational iteration method for solving singular partial differential equations of fractional order
author_facet Asma Ali, Elbeleze,
Bachok M., Taib,
Adel, Kilicman,
author_sort Asma Ali, Elbeleze,
title Convergence of variational iteration method for solving singular partial differential equations of fractional order
title_short Convergence of variational iteration method for solving singular partial differential equations of fractional order
title_full Convergence of variational iteration method for solving singular partial differential equations of fractional order
title_fullStr Convergence of variational iteration method for solving singular partial differential equations of fractional order
title_full_unstemmed Convergence of variational iteration method for solving singular partial differential equations of fractional order
title_sort convergence of variational iteration method for solving singular partial differential equations of fractional order
publisher Hindawi Publishing Corporation
publishDate 2015
url http://ddms.usim.edu.my/handle/123456789/8096
http://www.hindawi.com/journals/aaa/2014/518343/
_version_ 1645152339922780160
score 13.209306

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