Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas
This paper describes the development of a two-point implicit code in the form of fifth order Block Backward Differentiation Formulas (BBDF(5)) for solving first order stiff Ordinary Differential Equations (ODEs). This method computes the approximate solutions at two points simultaneously within an...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2012
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| Online Access: | http://journalarticle.ukm.my/3940/ http://journalarticle.ukm.my/3940/1/15%2520Nor%2520Ain.pdf |
| _version_ | 1848810352862560256 |
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| author | Nor Ain Azeany Mohd Nasir, Zarina Bibi Ibrahim, Khairil Iskandar Othman, Mohamed Suleiman, |
| author_facet | Nor Ain Azeany Mohd Nasir, Zarina Bibi Ibrahim, Khairil Iskandar Othman, Mohamed Suleiman, |
| author_sort | Nor Ain Azeany Mohd Nasir, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | This paper describes the development of a two-point implicit code in the form of fifth order Block Backward Differentiation
Formulas (BBDF(5)) for solving first order stiff Ordinary Differential Equations (ODEs). This method computes the
approximate solutions at two points simultaneously within an equidistant block. Numerical results are presented to
compare the efficiency of the developed BBDF(5) to the classical one-point Backward Differentiation Formulas (BDF). The
results indicated that the BBDF(5) outperformed the BDF in terms of total number of steps, accuracy and computational
time. |
| first_indexed | 2025-11-14T23:29:09Z |
| format | Article |
| id | oai:generic.eprints.org:3940 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:29:09Z |
| publishDate | 2012 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:39402016-12-14T06:35:22Z http://journalarticle.ukm.my/3940/ Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas Nor Ain Azeany Mohd Nasir, Zarina Bibi Ibrahim, Khairil Iskandar Othman, Mohamed Suleiman, This paper describes the development of a two-point implicit code in the form of fifth order Block Backward Differentiation Formulas (BBDF(5)) for solving first order stiff Ordinary Differential Equations (ODEs). This method computes the approximate solutions at two points simultaneously within an equidistant block. Numerical results are presented to compare the efficiency of the developed BBDF(5) to the classical one-point Backward Differentiation Formulas (BDF). The results indicated that the BBDF(5) outperformed the BDF in terms of total number of steps, accuracy and computational time. Universiti Kebangsaan Malaysia 2012-04 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/3940/1/15%2520Nor%2520Ain.pdf Nor Ain Azeany Mohd Nasir, and Zarina Bibi Ibrahim, and Khairil Iskandar Othman, and Mohamed Suleiman, (2012) Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas. Sains Malaysiana, 41 (4). pp. 489-492. ISSN 0126-6039 http://www.ukm.my/jsm |
| spellingShingle | Nor Ain Azeany Mohd Nasir, Zarina Bibi Ibrahim, Khairil Iskandar Othman, Mohamed Suleiman, Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas |
| title | Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas |
| title_full | Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas |
| title_fullStr | Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas |
| title_full_unstemmed | Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas |
| title_short | Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas |
| title_sort | numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas |
| url | http://journalarticle.ukm.my/3940/ http://journalarticle.ukm.my/3940/ http://journalarticle.ukm.my/3940/1/15%2520Nor%2520Ain.pdf |