An improved 2-point block backward differentiation formula for solving stiff initial value problems
A new block method that generates two values simultaneously is developed for the integration of stiff initial value problems. The method is proven to be A – stable and is a super class of the 2 – point block backward differentiation formula (BBDF). A comparison is made between the method, 1 point ba...
| Main Authors: | , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57295/ http://psasir.upm.edu.my/id/eprint/57295/1/An%20improved%202-point%20block%20backward%20differentiation%20formula%20for%20solving%20stiff%20initial%20value%20problems.pdf |
| _version_ | 1848853325671301120 |
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| author | Musa, Hamisu Suleiman, Mohamed Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi |
| author_facet | Musa, Hamisu Suleiman, Mohamed Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi |
| author_sort | Musa, Hamisu |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A new block method that generates two values simultaneously is developed for the integration of stiff initial value problems. The method is proven to be A – stable and is a super class of the 2 – point block backward differentiation formula (BBDF). A comparison is made between the method, 1 point backward differentiation formula (BDF) and the 2 point BBDF methods. The numerical results indicate that the new method outperformed the 1 point BDF and the 2 point BBDF methods in terms of accuracy and stability. The total number of steps to complete the integration by the 1 point BDF method is reduced to half. Computation time for the method is also competitive. |
| first_indexed | 2025-11-15T10:52:11Z |
| format | Conference or Workshop Item |
| id | upm-57295 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:11Z |
| publishDate | 2012 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-572952017-09-26T03:58:48Z http://psasir.upm.edu.my/id/eprint/57295/ An improved 2-point block backward differentiation formula for solving stiff initial value problems Musa, Hamisu Suleiman, Mohamed Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi A new block method that generates two values simultaneously is developed for the integration of stiff initial value problems. The method is proven to be A – stable and is a super class of the 2 – point block backward differentiation formula (BBDF). A comparison is made between the method, 1 point backward differentiation formula (BDF) and the 2 point BBDF methods. The numerical results indicate that the new method outperformed the 1 point BDF and the 2 point BBDF methods in terms of accuracy and stability. The total number of steps to complete the integration by the 1 point BDF method is reduced to half. Computation time for the method is also competitive. AIP Publishing LLC 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57295/1/An%20improved%202-point%20block%20backward%20differentiation%20formula%20for%20solving%20stiff%20initial%20value%20problems.pdf Musa, Hamisu and Suleiman, Mohamed and Ismail, Fudziah and Senu, Norazak and Ibrahim, Zarina Bibi (2012) An improved 2-point block backward differentiation formula for solving stiff initial value problems. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 211-220). 10.1063/1.4801126 |
| spellingShingle | Musa, Hamisu Suleiman, Mohamed Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi An improved 2-point block backward differentiation formula for solving stiff initial value problems |
| title | An improved 2-point block backward differentiation formula for solving stiff initial value problems |
| title_full | An improved 2-point block backward differentiation formula for solving stiff initial value problems |
| title_fullStr | An improved 2-point block backward differentiation formula for solving stiff initial value problems |
| title_full_unstemmed | An improved 2-point block backward differentiation formula for solving stiff initial value problems |
| title_short | An improved 2-point block backward differentiation formula for solving stiff initial value problems |
| title_sort | improved 2-point block backward differentiation formula for solving stiff initial value problems |
| url | http://psasir.upm.edu.my/id/eprint/57295/ http://psasir.upm.edu.my/id/eprint/57295/ http://psasir.upm.edu.my/id/eprint/57295/1/An%20improved%202-point%20block%20backward%20differentiation%20formula%20for%20solving%20stiff%20initial%20value%20problems.pdf |