Multistep block method for solving vanishing delay differential equations
The multistep block method is applied to solve the particular vanishing delay case in delay differential equations. The proposed method which is based on predictor-corrector scheme are used to determine three approximate solutions concurrently in each step of integration. The new strategy to obtain...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57429/ http://psasir.upm.edu.my/id/eprint/57429/1/Multistep%20block%20method%20for%20solving%20vanishing%20delay%20differential%20equations.pdf |
| _version_ | 1848853363631849472 |
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| author | Abdul Majid, Zanariah Abdul Aziz, Nurul Huda |
| author_facet | Abdul Majid, Zanariah Abdul Aziz, Nurul Huda |
| author_sort | Abdul Majid, Zanariah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The multistep block method is applied to solve the particular vanishing delay case in delay differential equations. The proposed method which is based on predictor-corrector scheme are used to determine three approximate solutions concurrently in each step of integration. The new strategy to obtain the solution of the vanishing delay within the three point in each block is investigated with the implementation of variable step size. Numerical results are presented for some problems to demonstrate the efficiency and accuracy of this method. |
| first_indexed | 2025-11-15T10:52:47Z |
| format | Conference or Workshop Item |
| id | upm-57429 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:47Z |
| publishDate | 2014 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-574292017-09-27T10:13:35Z http://psasir.upm.edu.my/id/eprint/57429/ Multistep block method for solving vanishing delay differential equations Abdul Majid, Zanariah Abdul Aziz, Nurul Huda The multistep block method is applied to solve the particular vanishing delay case in delay differential equations. The proposed method which is based on predictor-corrector scheme are used to determine three approximate solutions concurrently in each step of integration. The new strategy to obtain the solution of the vanishing delay within the three point in each block is investigated with the implementation of variable step size. Numerical results are presented for some problems to demonstrate the efficiency and accuracy of this method. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57429/1/Multistep%20block%20method%20for%20solving%20vanishing%20delay%20differential%20equations.pdf Abdul Majid, Zanariah and Abdul Aziz, Nurul Huda (2014) Multistep block method for solving vanishing delay differential equations. In: International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM 2014), 22-28 Sept. 2014, Rodos Palace Hotel, Rhodes, Greece. (pp. 1-3). 10.1063/1.4913014 |
| spellingShingle | Abdul Majid, Zanariah Abdul Aziz, Nurul Huda Multistep block method for solving vanishing delay differential equations |
| title | Multistep block method for solving vanishing delay differential equations |
| title_full | Multistep block method for solving vanishing delay differential equations |
| title_fullStr | Multistep block method for solving vanishing delay differential equations |
| title_full_unstemmed | Multistep block method for solving vanishing delay differential equations |
| title_short | Multistep block method for solving vanishing delay differential equations |
| title_sort | multistep block method for solving vanishing delay differential equations |
| url | http://psasir.upm.edu.my/id/eprint/57429/ http://psasir.upm.edu.my/id/eprint/57429/ http://psasir.upm.edu.my/id/eprint/57429/1/Multistep%20block%20method%20for%20solving%20vanishing%20delay%20differential%20equations.pdf |