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...
| Main Authors: | , , |
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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/34680/1/Numerical%20Methods%20for%20Fractional%20Order%20Singular%20Partial.pdf |
| _version_ | 1796972554000269312 |
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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 |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T08:29:43Z |
| format | Article |
| id | upm.eprints-34680 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:29:43Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Elbeleze, Asma Ali Kilicman, Adem M. Taib, Bachok Numerical methods for fractional order singular partial differential equations with variable coefficients |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/34680/1/Numerical%20Methods%20for%20Fractional%20Order%20Singular%20Partial.pdf |
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