An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems
A class of implicit 2-point block extended backward differentiation formula (BEBDF) of order 4 is presented. The stability region of the method is constructed and shown to be A – stable. Results obtained are compared with an existing block backward differentiation formula (BBDF). The comparison show...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38950/ http://psasir.upm.edu.my/id/eprint/38950/1/38950.pdf |
| _version_ | 1848849013375238144 |
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| author | Suleiman, Mohamed Musa, Hamisu Ismail, Fudziah |
| author_facet | Suleiman, Mohamed Musa, Hamisu Ismail, Fudziah |
| author_sort | Suleiman, Mohamed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A class of implicit 2-point block extended backward differentiation formula (BEBDF) of order 4 is presented. The stability region of the method is constructed and shown to be A – stable. Results obtained are compared with an existing block backward differentiation formula (BBDF). The comparison shows that using constant step size and the same number of integration steps, our method achieves greater accuracy than
the 2-point BBDF and is suitable for solving stiff initial value problems. |
| first_indexed | 2025-11-15T09:43:38Z |
| format | Article |
| id | upm-38950 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:43:38Z |
| publishDate | 2015 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-389502015-09-04T13:47:49Z http://psasir.upm.edu.my/id/eprint/38950/ An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems Suleiman, Mohamed Musa, Hamisu Ismail, Fudziah A class of implicit 2-point block extended backward differentiation formula (BEBDF) of order 4 is presented. The stability region of the method is constructed and shown to be A – stable. Results obtained are compared with an existing block backward differentiation formula (BBDF). The comparison shows that using constant step size and the same number of integration steps, our method achieves greater accuracy than the 2-point BBDF and is suitable for solving stiff initial value problems. Institute for Mathematical Research, Universiti Putra Malaysia 2015-01 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38950/1/38950.pdf Suleiman, Mohamed and Musa, Hamisu and Ismail, Fudziah (2015) An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems. Malaysian Journal of Mathematical Sciences, 9 (1). pp. 33-51. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol9/3.%20Hamisu%20MJMS2014.pdf |
| spellingShingle | Suleiman, Mohamed Musa, Hamisu Ismail, Fudziah An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems |
| title | An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems |
| title_full | An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems |
| title_fullStr | An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems |
| title_full_unstemmed | An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems |
| title_short | An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems |
| title_sort | implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems |
| url | http://psasir.upm.edu.my/id/eprint/38950/ http://psasir.upm.edu.my/id/eprint/38950/ http://psasir.upm.edu.my/id/eprint/38950/1/38950.pdf |