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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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/518343 |
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| author | Asma Ali Elbeleze Adem Kılıçman Bachok M. Taib |
| author_facet | Asma Ali Elbeleze Adem Kılıçman Bachok M. Taib |
| author_sort | Asma Ali Elbeleze |
| collection | DOAJ |
| 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 |
| id | doaj-art-58acbf5a7d764d1d9a75e02acd673287 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-58acbf5a7d764d1d9a75e02acd6732872025-02-03T01:30:13ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/518343518343Convergence of Variational Iteration Method for Solving Singular Partial Differential Equations of Fractional OrderAsma Ali Elbeleze0Adem Kılıçman1Bachok M. Taib2Faculty of Science and Technology, Universiti Sains Islam Malaysia, 71800 Nilai, MalaysiaDepartment of Mathematics, Faculty of Science, University Putra Malaysia, 4300 Serdang, Selangor, MalaysiaFaculty of Science and Technology, Universiti Sains Islam Malaysia, 71800 Nilai, MalaysiaWe 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.http://dx.doi.org/10.1155/2014/518343 |
| spellingShingle | Asma Ali Elbeleze Adem Kılıçman Bachok M. Taib Convergence of Variational Iteration Method for Solving Singular Partial Differential Equations of Fractional Order Abstract and Applied Analysis |
| 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://dx.doi.org/10.1155/2014/518343 |
| work_keys_str_mv | AT asmaalielbeleze convergenceofvariationaliterationmethodforsolvingsingularpartialdifferentialequationsoffractionalorder AT ademkılıcman convergenceofvariationaliterationmethodforsolvingsingularpartialdifferentialequationsoffractionalorder AT bachokmtaib convergenceofvariationaliterationmethodforsolvingsingularpartialdifferentialequationsoffractionalorder |