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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: 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/36912/1/36912.pdf
http://psasir.upm.edu.my/id/eprint/36912/
https://www.hindawi.com/journals/aaa/2014/518343/abs/
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spelling my.upm.eprints.369122017-10-19T07:43:22Z http://psasir.upm.edu.my/id/eprint/36912/ Convergence of variational iteration method for solving singular partial differential equations of fractional order Elbeleze, Asma Ali Kilicman, Adem M. Taib, Bachok 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. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36912/1/36912.pdf Elbeleze, Asma Ali and Kilicman, Adem and M. Taib, Bachok (2014) Convergence of variational iteration method for solving singular partial differential equations of fractional order. Abstract and Applied Analysis, 2014. art. no. 518343. pp. 1-11. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2014/518343/abs/ 10.1155/2014/518343
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 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 Elbeleze, Asma Ali
Kilicman, Adem
M. Taib, Bachok
spellingShingle Elbeleze, Asma Ali
Kilicman, Adem
M. Taib, Bachok
Convergence of variational iteration method for solving singular partial differential equations of fractional order
author_facet Elbeleze, Asma Ali
Kilicman, Adem
M. Taib, Bachok
author_sort Elbeleze, Asma Ali
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 2014
url http://psasir.upm.edu.my/id/eprint/36912/1/36912.pdf
http://psasir.upm.edu.my/id/eprint/36912/
https://www.hindawi.com/journals/aaa/2014/518343/abs/
_version_ 1643831864369086464
score 13.2014675

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