Implementation of variable step size strategy for solving neutral delay differential equation in multistep block method
The numerical solution of neutral delay differential equation (NDDE) with variable step size implementation in multistep block method is addressed in this paper. The strategy of variable step size was actually from the idea in adapting the step size control mechanism in the block method that allows...
| Main Authors: | , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2015
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/51888/ http://psasir.upm.edu.my/id/eprint/51888/1/Implementation%20of%20variable%20step%20size%20strategy%20for%20solving%20neutral%20delay%20differential%20equation%20in%20multistep%20block%20method.pdf |
| _version_ | 1848851955490750464 |
|---|---|
| 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 numerical solution of neutral delay differential equation (NDDE) with variable step size implementation in multistep block method is addressed in this paper. The strategy of variable step size was actually from the idea in adapting the step size control mechanism in the block method that allows each block to have different step size ratios as it moves in the interval. Special attention is paid in approximating the neutral delay term using the stored value of derivative solution in Newton divided difference interpolation. Numerical results shown that the proposed multistep block method is reliable when compared with the other existing Adams method. |
| first_indexed | 2025-11-15T10:30:24Z |
| format | Conference or Workshop Item |
| id | upm-51888 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:30:24Z |
| publishDate | 2015 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-518882017-05-03T04:09:09Z http://psasir.upm.edu.my/id/eprint/51888/ Implementation of variable step size strategy for solving neutral delay differential equation in multistep block method Abdul Aziz, Nurul Huda Abdul Majid, Zanariah The numerical solution of neutral delay differential equation (NDDE) with variable step size implementation in multistep block method is addressed in this paper. The strategy of variable step size was actually from the idea in adapting the step size control mechanism in the block method that allows each block to have different step size ratios as it moves in the interval. Special attention is paid in approximating the neutral delay term using the stored value of derivative solution in Newton divided difference interpolation. Numerical results shown that the proposed multistep block method is reliable when compared with the other existing Adams method. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51888/1/Implementation%20of%20variable%20step%20size%20strategy%20for%20solving%20neutral%20delay%20differential%20equation%20in%20multistep%20block%20method.pdf Abdul Aziz, Nurul Huda and Abdul Majid, Zanariah (2015) Implementation of variable step size strategy for solving neutral delay differential equation in multistep block method. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 71-75). http://ieeexplore.ieee.org/document/7357029/ 10.1109/ICREM.2015.7357029 |
| spellingShingle | Abdul Aziz, Nurul Huda Abdul Majid, Zanariah Implementation of variable step size strategy for solving neutral delay differential equation in multistep block method |
| title | Implementation of variable step size strategy for solving neutral delay differential equation in multistep block method |
| title_full | Implementation of variable step size strategy for solving neutral delay differential equation in multistep block method |
| title_fullStr | Implementation of variable step size strategy for solving neutral delay differential equation in multistep block method |
| title_full_unstemmed | Implementation of variable step size strategy for solving neutral delay differential equation in multistep block method |
| title_short | Implementation of variable step size strategy for solving neutral delay differential equation in multistep block method |
| title_sort | implementation of variable step size strategy for solving neutral delay differential equation in multistep block method |
| url | http://psasir.upm.edu.my/id/eprint/51888/ http://psasir.upm.edu.my/id/eprint/51888/ http://psasir.upm.edu.my/id/eprint/51888/ http://psasir.upm.edu.my/id/eprint/51888/1/Implementation%20of%20variable%20step%20size%20strategy%20for%20solving%20neutral%20delay%20differential%20equation%20in%20multistep%20block%20method.pdf |