New operational matrix of derivative for solving non-linear fractional differential equations via Genocchi polynomials
In this research, new operational method based on Genocchi polynomials for numerical solutions of nonlinear fractional differential equations (NFDEs) is proposed. The Genocchi operational matrix of fractional derivative is first constructed by using some important properties of Genocchi polynomials....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2019
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| Online Access: | http://eprints.uthm.edu.my/5902/1/AJ%202018%20%28933%29.pdf |
| _version_ | 1825710097111711744 |
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| author | Isah, Abdulnasir Phang, Chang |
| author_facet | Isah, Abdulnasir Phang, Chang |
| author_sort | Isah, Abdulnasir |
| collection | UTHM |
| description | In this research, new operational method based on Genocchi polynomials for numerical solutions of nonlinear fractional differential equations (NFDEs) is proposed. The Genocchi operational matrix of fractional derivative is first constructed by using some important properties of Genocchi polynomials. These operational matrices together with the collocation method are used to reduce the NFDEs into a system of nonlinear algebraic equations. The error bound for this proposed method is shown. Some examples are given to display the simplicity and accuracy of the proposed technique. |
| first_indexed | 2024-03-05T21:52:26Z |
| format | Article |
| id | uthm.eprints-5902 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English |
| last_indexed | 2024-03-05T21:52:26Z |
| publishDate | 2019 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | uthm.eprints-59022022-01-24T08:27:14Z http://eprints.uthm.edu.my/5902/ New operational matrix of derivative for solving non-linear fractional differential equations via Genocchi polynomials Isah, Abdulnasir Phang, Chang T57-57.97 Applied mathematics. Quantitative methods In this research, new operational method based on Genocchi polynomials for numerical solutions of nonlinear fractional differential equations (NFDEs) is proposed. The Genocchi operational matrix of fractional derivative is first constructed by using some important properties of Genocchi polynomials. These operational matrices together with the collocation method are used to reduce the NFDEs into a system of nonlinear algebraic equations. The error bound for this proposed method is shown. Some examples are given to display the simplicity and accuracy of the proposed technique. Elsevier 2019 Article PeerReviewed text en http://eprints.uthm.edu.my/5902/1/AJ%202018%20%28933%29.pdf Isah, Abdulnasir and Phang, Chang (2019) New operational matrix of derivative for solving non-linear fractional differential equations via Genocchi polynomials. Journal of King Saud University – Science, 31 (1). pp. 1-7. ISSN 1018-3647 |
| spellingShingle | T57-57.97 Applied mathematics. Quantitative methods Isah, Abdulnasir Phang, Chang New operational matrix of derivative for solving non-linear fractional differential equations via Genocchi polynomials |
| title | New operational matrix of derivative for solving non-linear fractional differential equations via Genocchi polynomials |
| title_full | New operational matrix of derivative for solving non-linear fractional differential equations via Genocchi polynomials |
| title_fullStr | New operational matrix of derivative for solving non-linear fractional differential equations via Genocchi polynomials |
| title_full_unstemmed | New operational matrix of derivative for solving non-linear fractional differential equations via Genocchi polynomials |
| title_short | New operational matrix of derivative for solving non-linear fractional differential equations via Genocchi polynomials |
| title_sort | new operational matrix of derivative for solving non linear fractional differential equations via genocchi polynomials |
| topic | T57-57.97 Applied mathematics. Quantitative methods |
| url | http://eprints.uthm.edu.my/5902/1/AJ%202018%20%28933%29.pdf |
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