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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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36912/ http://psasir.upm.edu.my/id/eprint/36912/1/36912.pdf |
| _version_ | 1848848464829480960 |
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| author | Elbeleze, Asma Ali Kilicman, Adem M. Taib, Bachok |
| author_facet | Elbeleze, Asma Ali Kilicman, Adem M. Taib, Bachok |
| author_sort | Elbeleze, Asma Ali |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T09:34:55Z |
| format | Article |
| id | upm-36912 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:34:55Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Elbeleze, Asma Ali Kilicman, Adem M. Taib, Bachok Convergence of variational iteration method for solving singular partial differential equations of fractional order |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/36912/ http://psasir.upm.edu.my/id/eprint/36912/ http://psasir.upm.edu.my/id/eprint/36912/ http://psasir.upm.edu.my/id/eprint/36912/1/36912.pdf |