A new variable step size block backward differentiation formula for solving stiff initial value problems
A new block backward differentiation formula of order 4 with variable step size is formulated. By varying a parameter in the formula, different sets of formulae with A-stability property can be generated. At the cost of an additional function evaluation, the accuracy of the method is seen to outperf...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30395/ http://psasir.upm.edu.my/id/eprint/30395/1/A%20new%20variable%20step%20size%20block%20backward%20differentiation%20formula%20for%20solving%20stiff%20initial%20value%20problems.pdf |
| _version_ | 1848846664282931200 |
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| author | Suleiman, Mohamed Musa, Hamisu Ismail, Fudziah Senu, Norazak |
| author_facet | Suleiman, Mohamed Musa, Hamisu Ismail, Fudziah Senu, Norazak |
| author_sort | Suleiman, Mohamed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A new block backward differentiation formula of order 4 with variable step size is formulated. By varying a parameter in the formula, different sets of formulae with A-stability property can be generated. At the cost of an additional function evaluation, the accuracy of the method is seen to outperform some existing backward differentiation formula algorithms. The strategy involved in controlling the step size ratio is also described. The problems tested with the method show its efficiency in solving stiff initial value problems. |
| first_indexed | 2025-11-15T09:06:18Z |
| format | Article |
| id | upm-30395 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:06:18Z |
| publishDate | 2013 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-303952017-06-23T06:26:55Z http://psasir.upm.edu.my/id/eprint/30395/ A new variable step size block backward differentiation formula for solving stiff initial value problems Suleiman, Mohamed Musa, Hamisu Ismail, Fudziah Senu, Norazak A new block backward differentiation formula of order 4 with variable step size is formulated. By varying a parameter in the formula, different sets of formulae with A-stability property can be generated. At the cost of an additional function evaluation, the accuracy of the method is seen to outperform some existing backward differentiation formula algorithms. The strategy involved in controlling the step size ratio is also described. The problems tested with the method show its efficiency in solving stiff initial value problems. Taylor & Francis 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30395/1/A%20new%20variable%20step%20size%20block%20backward%20differentiation%20formula%20for%20solving%20stiff%20initial%20value%20problems.pdf Suleiman, Mohamed and Musa, Hamisu and Ismail, Fudziah and Senu, Norazak (2013) A new variable step size block backward differentiation formula for solving stiff initial value problems. International Journal of Computer Mathematics, 90 (11). pp. 2391-2408. ISSN 0020-7160; ESSN: 1029-0265 10.1080/00207160.2013.776677 |
| spellingShingle | Suleiman, Mohamed Musa, Hamisu Ismail, Fudziah Senu, Norazak A new variable step size block backward differentiation formula for solving stiff initial value problems |
| title | A new variable step size block backward differentiation formula for solving stiff initial value problems |
| title_full | A new variable step size block backward differentiation formula for solving stiff initial value problems |
| title_fullStr | A new variable step size block backward differentiation formula for solving stiff initial value problems |
| title_full_unstemmed | A new variable step size block backward differentiation formula for solving stiff initial value problems |
| title_short | A new variable step size block backward differentiation formula for solving stiff initial value problems |
| title_sort | new variable step size block backward differentiation formula for solving stiff initial value problems |
| url | http://psasir.upm.edu.my/id/eprint/30395/ http://psasir.upm.edu.my/id/eprint/30395/ http://psasir.upm.edu.my/id/eprint/30395/1/A%20new%20variable%20step%20size%20block%20backward%20differentiation%20formula%20for%20solving%20stiff%20initial%20value%20problems.pdf |