Two and three point one-step block methods for solving delay differential equations
In this paper, initial value problems of first order delay differential equations (DDEs) are solved using two and three point one step block method. Neville’s interpolation will be implemented for the solutions of the delay argument. The general formulation of one-step block method for solving ordin...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51852/ http://psasir.upm.edu.my/id/eprint/51852/1/Two%20and%20three%20point%20one-step%20block%20methods%20for%20solving%20delay%20differential%20equations.pdf |
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| author | Mohd Radzi, Hazwani Abdul Majid, Zanariah Ismail, Fudziah Suleiman, Mohamed |
| author_facet | Mohd Radzi, Hazwani Abdul Majid, Zanariah Ismail, Fudziah Suleiman, Mohamed |
| author_sort | Mohd Radzi, Hazwani |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, initial value problems of first order delay differential equations (DDEs) are solved using two and three point one step block method. Neville’s interpolation will be implemented for the solutions of the delay argument. The general formulation of one-step block method for solving ordinary differential equations is adapted to solve DDEs. The P- and Q-stability are also discussed. Numerical results are given to illustrate the performance of those block methods for solving delay differential equations. |
| first_indexed | 2025-11-15T10:30:15Z |
| format | Article |
| id | upm-51852 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:30:15Z |
| publishDate | 2012 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-518522017-05-02T08:05:07Z http://psasir.upm.edu.my/id/eprint/51852/ Two and three point one-step block methods for solving delay differential equations Mohd Radzi, Hazwani Abdul Majid, Zanariah Ismail, Fudziah Suleiman, Mohamed In this paper, initial value problems of first order delay differential equations (DDEs) are solved using two and three point one step block method. Neville’s interpolation will be implemented for the solutions of the delay argument. The general formulation of one-step block method for solving ordinary differential equations is adapted to solve DDEs. The P- and Q-stability are also discussed. Numerical results are given to illustrate the performance of those block methods for solving delay differential equations. Universiti Kebangsaan Malaysia 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51852/1/Two%20and%20three%20point%20one-step%20block%20methods%20for%20solving%20delay%20differential%20equations.pdf Mohd Radzi, Hazwani and Abdul Majid, Zanariah and Ismail, Fudziah and Suleiman, Mohamed (2012) Two and three point one-step block methods for solving delay differential equations. Journal of Quality Measurement and Analysis, 8 (1). pp. 29-41. ISSN 1823-5670 http://www.ukm.my/jqma/jqma8_1a.html |
| spellingShingle | Mohd Radzi, Hazwani Abdul Majid, Zanariah Ismail, Fudziah Suleiman, Mohamed Two and three point one-step block methods for solving delay differential equations |
| title | Two and three point one-step block methods for solving delay differential equations |
| title_full | Two and three point one-step block methods for solving delay differential equations |
| title_fullStr | Two and three point one-step block methods for solving delay differential equations |
| title_full_unstemmed | Two and three point one-step block methods for solving delay differential equations |
| title_short | Two and three point one-step block methods for solving delay differential equations |
| title_sort | two and three point one-step block methods for solving delay differential equations |
| url | http://psasir.upm.edu.my/id/eprint/51852/ http://psasir.upm.edu.my/id/eprint/51852/ http://psasir.upm.edu.my/id/eprint/51852/1/Two%20and%20three%20point%20one-step%20block%20methods%20for%20solving%20delay%20differential%20equations.pdf |