A new fifth order implicit block method for solving first order stiff ordinary differential equations
A new implicit block backward differentiation formula that computes 3–points simultaneously is derived. The method is of order 5 and solves system of stiff ordinary differential equations (ODEs). The stability analysis indicates that the method is A–stable. Numerical results show that the method ou...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute for Mathematical Research, Universiti Putra Malaysia
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/39052/ http://psasir.upm.edu.my/id/eprint/39052/1/39052.pdf |
| _version_ | 1848849040701128704 |
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| author | Musa, Hamisu Suleiman, Mohamed Ismail, Fudziah Senu, Norazak Abdul Majid, Zanariah Ibrahim, Zarina Bibi |
| author_facet | Musa, Hamisu Suleiman, Mohamed Ismail, Fudziah Senu, Norazak Abdul Majid, Zanariah Ibrahim, Zarina Bibi |
| author_sort | Musa, Hamisu |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A new implicit block backward differentiation formula that computes 3–points simultaneously is derived. The method is of order 5 and solves system of stiff ordinary differential equations (ODEs). The stability analysis indicates that the
method is A–stable. Numerical results show that the method outperformed some existing block and non-block methodsfor solving stiff ODEs. |
| first_indexed | 2025-11-15T09:44:04Z |
| format | Article |
| id | upm-39052 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:44:04Z |
| publishDate | 2014 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-390522015-09-04T11:07:12Z http://psasir.upm.edu.my/id/eprint/39052/ A new fifth order implicit block method for solving first order stiff ordinary differential equations Musa, Hamisu Suleiman, Mohamed Ismail, Fudziah Senu, Norazak Abdul Majid, Zanariah Ibrahim, Zarina Bibi A new implicit block backward differentiation formula that computes 3–points simultaneously is derived. The method is of order 5 and solves system of stiff ordinary differential equations (ODEs). The stability analysis indicates that the method is A–stable. Numerical results show that the method outperformed some existing block and non-block methodsfor solving stiff ODEs. Institute for Mathematical Research, Universiti Putra Malaysia 2014-10 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/39052/1/39052.pdf Musa, Hamisu and Suleiman, Mohamed and Ismail, Fudziah and Senu, Norazak and Abdul Majid, Zanariah and Ibrahim, Zarina Bibi (2014) A new fifth order implicit block method for solving first order stiff ordinary differential equations. Malaysian Journal of Mathematical Sciences, 8 (S). pp. 45-59. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol8soct/5.%20hamisu%20musa.pdf |
| spellingShingle | Musa, Hamisu Suleiman, Mohamed Ismail, Fudziah Senu, Norazak Abdul Majid, Zanariah Ibrahim, Zarina Bibi A new fifth order implicit block method for solving first order stiff ordinary differential equations |
| title | A new fifth order implicit block method for solving first order stiff ordinary differential equations |
| title_full | A new fifth order implicit block method for solving first order stiff ordinary differential equations |
| title_fullStr | A new fifth order implicit block method for solving first order stiff ordinary differential equations |
| title_full_unstemmed | A new fifth order implicit block method for solving first order stiff ordinary differential equations |
| title_short | A new fifth order implicit block method for solving first order stiff ordinary differential equations |
| title_sort | new fifth order implicit block method for solving first order stiff ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/39052/ http://psasir.upm.edu.my/id/eprint/39052/ http://psasir.upm.edu.my/id/eprint/39052/1/39052.pdf |