A new numerical scheme for solving system of Volterra integro-differential equation
In this article, we apply Genocchi polynomials to solve numerically a system of Volterra integro-differential equations. This is done by approximating functions using Genocchi polynomials and derivatives using Genocchi polynomials operational matrix of integer order derivative. Com-bining approximat...
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| Format: | Article |
| Language: | English |
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Elsevier
2017
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| Online Access: | http://eprints.uthm.edu.my/5198/ http://eprints.uthm.edu.my/5198/1/AJ%202017%20%28331%29%20A%20new%20numerical%20scheme%20for%20solving%20system.pdf |
| _version_ | 1848888492493373440 |
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| author | Loh, Jian Rong Phang, Chang |
| author_facet | Loh, Jian Rong Phang, Chang |
| author_sort | Loh, Jian Rong |
| building | UTHM Institutional Repository |
| collection | Online Access |
| description | In this article, we apply Genocchi polynomials to solve numerically a system of Volterra integro-differential equations. This is done by approximating functions using Genocchi polynomials and derivatives using Genocchi polynomials operational matrix of integer order derivative. Com-bining approximation with collocation method, the problem is reduced to a system of algebraic equations in terms of Genocchi coefficients of the unknown functions. By solving the Genocchi coefficients, we obtain good approximate functions of the exact solutions of the system. A few numerical examples show that our proposed Genocchi polynomials method achieves better accu-racy compared to some other existing methods. |
| first_indexed | 2025-11-15T20:11:09Z |
| format | Article |
| id | uthm-5198 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:11:09Z |
| publishDate | 2017 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-51982022-01-06T04:23:59Z http://eprints.uthm.edu.my/5198/ A new numerical scheme for solving system of Volterra integro-differential equation Loh, Jian Rong Phang, Chang HA Statistics QA273-280 Probabilities. Mathematical statistics In this article, we apply Genocchi polynomials to solve numerically a system of Volterra integro-differential equations. This is done by approximating functions using Genocchi polynomials and derivatives using Genocchi polynomials operational matrix of integer order derivative. Com-bining approximation with collocation method, the problem is reduced to a system of algebraic equations in terms of Genocchi coefficients of the unknown functions. By solving the Genocchi coefficients, we obtain good approximate functions of the exact solutions of the system. A few numerical examples show that our proposed Genocchi polynomials method achieves better accu-racy compared to some other existing methods. Elsevier 2017 Article PeerReviewed text en http://eprints.uthm.edu.my/5198/1/AJ%202017%20%28331%29%20A%20new%20numerical%20scheme%20for%20solving%20system.pdf Loh, Jian Rong and Phang, Chang (2017) A new numerical scheme for solving system of Volterra integro-differential equation. Alexandria Engineering Journal. ISSN 1110-0168 http://dx.doi.org/10.1016/j.aej.2017.01.021 |
| spellingShingle | HA Statistics QA273-280 Probabilities. Mathematical statistics Loh, Jian Rong Phang, Chang A new numerical scheme for solving system of Volterra integro-differential equation |
| title | A new numerical scheme for solving system of Volterra integro-differential equation |
| title_full | A new numerical scheme for solving system of Volterra integro-differential equation |
| title_fullStr | A new numerical scheme for solving system of Volterra integro-differential equation |
| title_full_unstemmed | A new numerical scheme for solving system of Volterra integro-differential equation |
| title_short | A new numerical scheme for solving system of Volterra integro-differential equation |
| title_sort | new numerical scheme for solving system of volterra integro-differential equation |
| topic | HA Statistics QA273-280 Probabilities. Mathematical statistics |
| url | http://eprints.uthm.edu.my/5198/ http://eprints.uthm.edu.my/5198/ http://eprints.uthm.edu.my/5198/1/AJ%202017%20%28331%29%20A%20new%20numerical%20scheme%20for%20solving%20system.pdf |