Solving delay differential equations by using implicit 2-point block backward differentiation formula
In this paper, an implicit 2-point Block Backward Differentiation formula (BBDF) method was considered for solving Delay Differential Equations (DDEs). The method was implemented by using a constant stepsize via Newton Iteration. This implicit block method was expected to produce two points si...
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| Format: | Article |
| Language: | English English |
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Universiti Putra Malaysia Press
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30300/ http://psasir.upm.edu.my/id/eprint/30300/7/Solving%20Delay%20Differential%20Equations%20by%20Using%20Implicit%202-Point%20Block%20Backward%20Differentiation%20Formula.pdf |
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| author | Heng, S. C. Ibrahim, Zarina Bibi Suleiman, Mohamed Ismail, Fudziah |
| author_facet | Heng, S. C. Ibrahim, Zarina Bibi Suleiman, Mohamed Ismail, Fudziah |
| author_sort | Heng, S. C. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, an implicit 2-point Block Backward Differentiation formula (BBDF) method was
considered for solving Delay Differential Equations (DDEs). The method was implemented by using a
constant stepsize via Newton Iteration. This implicit block method was expected to produce two points
simultaneously. The efficiency of the method was compared with the existing classical 1-point Backward
Differentiation Formula (BDF) in terms of execution time and accuracy |
| first_indexed | 2025-11-15T09:05:53Z |
| format | Article |
| id | upm-30300 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T09:05:53Z |
| publishDate | 2013 |
| publisher | Universiti Putra Malaysia Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-303002015-09-17T04:15:18Z http://psasir.upm.edu.my/id/eprint/30300/ Solving delay differential equations by using implicit 2-point block backward differentiation formula Heng, S. C. Ibrahim, Zarina Bibi Suleiman, Mohamed Ismail, Fudziah In this paper, an implicit 2-point Block Backward Differentiation formula (BBDF) method was considered for solving Delay Differential Equations (DDEs). The method was implemented by using a constant stepsize via Newton Iteration. This implicit block method was expected to produce two points simultaneously. The efficiency of the method was compared with the existing classical 1-point Backward Differentiation Formula (BDF) in terms of execution time and accuracy Universiti Putra Malaysia Press 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30300/7/Solving%20Delay%20Differential%20Equations%20by%20Using%20Implicit%202-Point%20Block%20Backward%20Differentiation%20Formula.pdf Heng, S. C. and Ibrahim, Zarina Bibi and Suleiman, Mohamed and Ismail, Fudziah (2013) Solving delay differential equations by using implicit 2-point block backward differentiation formula. Pertanika Journal of Science & Technology, 21 (1). pp. 37-44. ISSN 0128-7680 http://www.pertanika.upm.edu.my/Pertanika%20PAPERS/JST%20Vol.%2021%20%281%29%20Jan.%202013/04.%20%20Page%2037-44.pdf English |
| spellingShingle | Heng, S. C. Ibrahim, Zarina Bibi Suleiman, Mohamed Ismail, Fudziah Solving delay differential equations by using implicit 2-point block backward differentiation formula |
| title | Solving delay differential equations by using implicit 2-point block backward differentiation formula |
| title_full | Solving delay differential equations by using implicit 2-point block backward differentiation formula |
| title_fullStr | Solving delay differential equations by using implicit 2-point block backward differentiation formula |
| title_full_unstemmed | Solving delay differential equations by using implicit 2-point block backward differentiation formula |
| title_short | Solving delay differential equations by using implicit 2-point block backward differentiation formula |
| title_sort | solving delay differential equations by using implicit 2-point block backward differentiation formula |
| url | http://psasir.upm.edu.my/id/eprint/30300/ http://psasir.upm.edu.my/id/eprint/30300/ http://psasir.upm.edu.my/id/eprint/30300/7/Solving%20Delay%20Differential%20Equations%20by%20Using%20Implicit%202-Point%20Block%20Backward%20Differentiation%20Formula.pdf |