Solving second order delay differential equations by direct extended two and three point implicit one-step block method
The purpose of this paper is to solve directly the second order delay differential equations (DDEs) using The extended two and extended three point implicit one-step block methods using constant step size. The formulae for the extended two and extended three point implicit one-step block methods wil...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51854/ http://psasir.upm.edu.my/id/eprint/51854/1/Solving%20second%20order%20delay%20differential%20equations%20by%20direct%20extended%20two%20and%20three%20point%20implicit%20one-step%20block%20method.pdf |
| _version_ | 1848851946338779136 |
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| author | Rasdi, Nadzirah Abdul Majid, Zanariah |
| author_facet | Rasdi, Nadzirah Abdul Majid, Zanariah |
| author_sort | Rasdi, Nadzirah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The purpose of this paper is to solve directly the second order delay differential equations (DDEs) using The extended two and extended three point implicit one-step block methods using constant step size. The formulae for the extended two and extended three point implicit one-step block methods will be derived using Lagrange interpolation polynomial. The stability polynomials for the methods are obtained and their regions of absolute stability are discussed. The efficiency of the proposed method is supported by some numerical results. |
| first_indexed | 2025-11-15T10:30:16Z |
| format | Conference or Workshop Item |
| id | upm-51854 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:30:16Z |
| publishDate | 2015 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-518542017-05-02T08:05:12Z http://psasir.upm.edu.my/id/eprint/51854/ Solving second order delay differential equations by direct extended two and three point implicit one-step block method Rasdi, Nadzirah Abdul Majid, Zanariah The purpose of this paper is to solve directly the second order delay differential equations (DDEs) using The extended two and extended three point implicit one-step block methods using constant step size. The formulae for the extended two and extended three point implicit one-step block methods will be derived using Lagrange interpolation polynomial. The stability polynomials for the methods are obtained and their regions of absolute stability are discussed. The efficiency of the proposed method is supported by some numerical results. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51854/1/Solving%20second%20order%20delay%20differential%20equations%20by%20direct%20extended%20two%20and%20three%20point%20implicit%20one-step%20block%20method.pdf Rasdi, Nadzirah and Abdul Majid, Zanariah (2015) Solving second order delay differential equations by direct extended two and three point implicit one-step block method. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 29-34). http://ieeexplore.ieee.org/document/7357021/?section=abstract 10.1109/ICREM.2015.7357021 |
| spellingShingle | Rasdi, Nadzirah Abdul Majid, Zanariah Solving second order delay differential equations by direct extended two and three point implicit one-step block method |
| title | Solving second order delay differential equations by direct extended two and three point implicit one-step block method |
| title_full | Solving second order delay differential equations by direct extended two and three point implicit one-step block method |
| title_fullStr | Solving second order delay differential equations by direct extended two and three point implicit one-step block method |
| title_full_unstemmed | Solving second order delay differential equations by direct extended two and three point implicit one-step block method |
| title_short | Solving second order delay differential equations by direct extended two and three point implicit one-step block method |
| title_sort | solving second order delay differential equations by direct extended two and three point implicit one-step block method |
| url | http://psasir.upm.edu.my/id/eprint/51854/ http://psasir.upm.edu.my/id/eprint/51854/ http://psasir.upm.edu.my/id/eprint/51854/ http://psasir.upm.edu.my/id/eprint/51854/1/Solving%20second%20order%20delay%20differential%20equations%20by%20direct%20extended%20two%20and%20three%20point%20implicit%20one-step%20block%20method.pdf |