A new superclass of block backward differentiation formula for stiff ordinary differential equations
A superclass of block backward differentiation formula (BBDF) suitable for solving stiff ordinary differential equations is developed. The method is of order 3, with smaller error constant than the conventional BBDF. It is A-stable and generates two points at each step of the integration. A comparis...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36206/ http://psasir.upm.edu.my/id/eprint/36206/1/A%20new%20superclass%20of%20block%20backward%20differentiation%20formula%20for%20stiff%20ordinary%20differential%20equations.pdf |
| _version_ | 1848848267222188032 |
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| author | Suleiman, Mohamed Musa, Hamisu Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi |
| author_facet | Suleiman, Mohamed Musa, Hamisu Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi |
| author_sort | Suleiman, Mohamed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A superclass of block backward differentiation formula (BBDF) suitable for solving stiff ordinary differential equations is developed. The method is of order 3, with smaller error constant than the conventional BBDF. It is A-stable and generates two points at each step of the integration. A comparison is made between the new method, the 2-point block backward differentiation formula (2BBDF) and 1-point backward differentiation formula (1BDF). The numerical results show that the method developed outperformed the 2BBDF and 1BDF methods in terms of accuracy. It also reduces the integration steps when compared with the 1BDF method. |
| first_indexed | 2025-11-15T09:31:47Z |
| format | Article |
| id | upm-36206 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:31:47Z |
| publishDate | 2014 |
| publisher | World Scientific Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-362062016-01-26T04:04:45Z http://psasir.upm.edu.my/id/eprint/36206/ A new superclass of block backward differentiation formula for stiff ordinary differential equations Suleiman, Mohamed Musa, Hamisu Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi A superclass of block backward differentiation formula (BBDF) suitable for solving stiff ordinary differential equations is developed. The method is of order 3, with smaller error constant than the conventional BBDF. It is A-stable and generates two points at each step of the integration. A comparison is made between the new method, the 2-point block backward differentiation formula (2BBDF) and 1-point backward differentiation formula (1BDF). The numerical results show that the method developed outperformed the 2BBDF and 1BDF methods in terms of accuracy. It also reduces the integration steps when compared with the 1BDF method. World Scientific Publishing 2014-03 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36206/1/A%20new%20superclass%20of%20block%20backward%20differentiation%20formula%20for%20stiff%20ordinary%20differential%20equations.pdf Suleiman, Mohamed and Musa, Hamisu and Ismail, Fudziah and Senu, Norazak and Ibrahim, Zarina Bibi (2014) A new superclass of block backward differentiation formula for stiff ordinary differential equations. Asian-European Journal of Mathematics, 7 (1). art. no. 1350034. pp. 1-17. ISSN 1793-5571; ESSN: 1793-7183 http://www.worldscientific.com/doi/abs/10.1142/S1793557113500344 10.1142/S1793557113500344 |
| spellingShingle | Suleiman, Mohamed Musa, Hamisu Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi A new superclass of block backward differentiation formula for stiff ordinary differential equations |
| title | A new superclass of block backward differentiation formula for stiff ordinary differential equations |
| title_full | A new superclass of block backward differentiation formula for stiff ordinary differential equations |
| title_fullStr | A new superclass of block backward differentiation formula for stiff ordinary differential equations |
| title_full_unstemmed | A new superclass of block backward differentiation formula for stiff ordinary differential equations |
| title_short | A new superclass of block backward differentiation formula for stiff ordinary differential equations |
| title_sort | new superclass of block backward differentiation formula for stiff ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/36206/ http://psasir.upm.edu.my/id/eprint/36206/ http://psasir.upm.edu.my/id/eprint/36206/ http://psasir.upm.edu.my/id/eprint/36206/1/A%20new%20superclass%20of%20block%20backward%20differentiation%20formula%20for%20stiff%20ordinary%20differential%20equations.pdf |