An accurate block solver for stiff initial value problems
New implicit block formulae that compute solution of stiff initial value problems at two points simultaneously are derived and implemented in a variable step size mode. The strategy for changing the step size for optimum performance involves halving, increasing by a multiple of 1.7, or maintaining t...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30303/ http://psasir.upm.edu.my/id/eprint/30303/1/An%20accurate%20block%20solver%20for%20stiff%20initial%20value%20problems.pdf |
| _version_ | 1848846639194701824 |
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| author | Musa, H. Suleiman, Mohamed Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi |
| author_facet | Musa, H. Suleiman, Mohamed Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi |
| author_sort | Musa, H. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | New implicit block formulae that compute solution of stiff initial value problems at two points simultaneously are derived and implemented in a variable step size mode. The strategy for changing the step size for optimum performance involves halving, increasing by a multiple of 1.7, or maintaining the current step size. The stability analysis of the methods indicates their suitability for solving stiff problems. Numerical results are given and compared with some existing backward differentiation formula algorithms. The results indicate an improvement in terms of accuracy. |
| first_indexed | 2025-11-15T09:05:54Z |
| format | Article |
| id | upm-30303 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T09:05:54Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-303032015-10-09T01:00:33Z http://psasir.upm.edu.my/id/eprint/30303/ An accurate block solver for stiff initial value problems Musa, H. Suleiman, Mohamed Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi New implicit block formulae that compute solution of stiff initial value problems at two points simultaneously are derived and implemented in a variable step size mode. The strategy for changing the step size for optimum performance involves halving, increasing by a multiple of 1.7, or maintaining the current step size. The stability analysis of the methods indicates their suitability for solving stiff problems. Numerical results are given and compared with some existing backward differentiation formula algorithms. The results indicate an improvement in terms of accuracy. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30303/1/An%20accurate%20block%20solver%20for%20stiff%20initial%20value%20problems.pdf Musa, H. and Suleiman, Mohamed and Ismail, Fudziah and Senu, Norazak and Ibrahim, Zarina Bibi (2013) An accurate block solver for stiff initial value problems. ISRN Applied Mathematics, 2013. art. no. 567451. pp. 1-10. ISSN 2090-5564; ESSN: 2090-5572 http://www.hindawi.com/journals/isrn/2013/567451/ 10.1155/2013/567451 English |
| spellingShingle | Musa, H. Suleiman, Mohamed Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi An accurate block solver for stiff initial value problems |
| title | An accurate block solver for stiff initial value problems |
| title_full | An accurate block solver for stiff initial value problems |
| title_fullStr | An accurate block solver for stiff initial value problems |
| title_full_unstemmed | An accurate block solver for stiff initial value problems |
| title_short | An accurate block solver for stiff initial value problems |
| title_sort | accurate block solver for stiff initial value problems |
| url | http://psasir.upm.edu.my/id/eprint/30303/ http://psasir.upm.edu.my/id/eprint/30303/ http://psasir.upm.edu.my/id/eprint/30303/ http://psasir.upm.edu.my/id/eprint/30303/1/An%20accurate%20block%20solver%20for%20stiff%20initial%20value%20problems.pdf |