Solving delay differential equations using modified 2-point block method
The performance of a modified 2-point block method for solving delay differential equations (DDE) has been investigated. The proposed method computes the numerical solution at two points simultaneously and produces two new equally spaced solution values within a block. This method is based on a pair...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57319/ http://psasir.upm.edu.my/id/eprint/57319/1/Solving%20delay%20differential%20equations%20using%20modified%202-point%20block%20method.pdf |
| _version_ | 1848853331892502528 |
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| author | Abdul Aziz, Nurul Huda Abdul Majid, Zanariah |
| author_facet | Abdul Aziz, Nurul Huda Abdul Majid, Zanariah |
| author_sort | Abdul Aziz, Nurul Huda |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The performance of a modified 2-point block method for solving delay differential equations (DDE) has been investigated. The proposed method computes the numerical solution at two points simultaneously and produces two new equally spaced solution values within a block. This method is based on a pair of explicit and implicit of Adams formulas which are implemented in PE(CE)s mode. The Newton divided difference interpolation has been used to approximate the delay solutions and the algorithm is implemented in variable step size. Numerical results demonstrate the efficiency of the proposed method when solving delay differential equations. |
| first_indexed | 2025-11-15T10:52:17Z |
| format | Conference or Workshop Item |
| id | upm-57319 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:17Z |
| publishDate | 2012 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-573192017-09-26T04:04:47Z http://psasir.upm.edu.my/id/eprint/57319/ Solving delay differential equations using modified 2-point block method Abdul Aziz, Nurul Huda Abdul Majid, Zanariah The performance of a modified 2-point block method for solving delay differential equations (DDE) has been investigated. The proposed method computes the numerical solution at two points simultaneously and produces two new equally spaced solution values within a block. This method is based on a pair of explicit and implicit of Adams formulas which are implemented in PE(CE)s mode. The Newton divided difference interpolation has been used to approximate the delay solutions and the algorithm is implemented in variable step size. Numerical results demonstrate the efficiency of the proposed method when solving delay differential equations. AIP Publishing LLC 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57319/1/Solving%20delay%20differential%20equations%20using%20modified%202-point%20block%20method.pdf Abdul Aziz, Nurul Huda and Abdul Majid, Zanariah (2012) Solving delay differential equations using modified 2-point block method. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 791-797). 10.1063/1.4801207 |
| spellingShingle | Abdul Aziz, Nurul Huda Abdul Majid, Zanariah Solving delay differential equations using modified 2-point block method |
| title | Solving delay differential equations using modified 2-point block method |
| title_full | Solving delay differential equations using modified 2-point block method |
| title_fullStr | Solving delay differential equations using modified 2-point block method |
| title_full_unstemmed | Solving delay differential equations using modified 2-point block method |
| title_short | Solving delay differential equations using modified 2-point block method |
| title_sort | solving delay differential equations using modified 2-point block method |
| url | http://psasir.upm.edu.my/id/eprint/57319/ http://psasir.upm.edu.my/id/eprint/57319/ http://psasir.upm.edu.my/id/eprint/57319/1/Solving%20delay%20differential%20equations%20using%20modified%202-point%20block%20method.pdf |