Block backward differentiation formulas with automatic order selection for solving ordinary differential equations
In this paper, a class of Block Backward Differentiation Formulas (BBDFs) are developed using fixed step size with automatic order selection for the numerical solution of stiff ordinary differential equations (ODEs). The method is derived by combining the BBDF methods of order four, five and six as...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/33583/ http://psasir.upm.edu.my/id/eprint/33583/1/33583.pdf |
| _version_ | 1848847538711429120 |
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| author | Ibrahim, Zarina Bibi M. Nasir, N. A. A. Othman, Khairil Iskandar Suleiman, Mohamed |
| author_facet | Ibrahim, Zarina Bibi M. Nasir, N. A. A. Othman, Khairil Iskandar Suleiman, Mohamed |
| author_sort | Ibrahim, Zarina Bibi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, a class of Block Backward Differentiation Formulas (BBDFs) are developed using fixed step size with automatic order selection for the numerical solution of stiff ordinary differential equations (ODEs). The method is derived by combining the BBDF methods of order four, five and six as single code with strategy on order selection. The proposed BBDF is validated through numerical results on some standard problems found in the literature and comparisons are made with single order BBDF. Numerical results shows the advantage of using BBDF with automatic order selection for solving ODEs. |
| first_indexed | 2025-11-15T09:20:12Z |
| format | Conference or Workshop Item |
| id | upm-33583 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:20:12Z |
| publishDate | 2014 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-335832015-03-27T08:26:03Z http://psasir.upm.edu.my/id/eprint/33583/ Block backward differentiation formulas with automatic order selection for solving ordinary differential equations Ibrahim, Zarina Bibi M. Nasir, N. A. A. Othman, Khairil Iskandar Suleiman, Mohamed In this paper, a class of Block Backward Differentiation Formulas (BBDFs) are developed using fixed step size with automatic order selection for the numerical solution of stiff ordinary differential equations (ODEs). The method is derived by combining the BBDF methods of order four, five and six as single code with strategy on order selection. The proposed BBDF is validated through numerical results on some standard problems found in the literature and comparisons are made with single order BBDF. Numerical results shows the advantage of using BBDF with automatic order selection for solving ODEs. 2014 Conference or Workshop Item NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/33583/1/33583.pdf Ibrahim, Zarina Bibi and M. Nasir, N. A. A. and Othman, Khairil Iskandar and Suleiman, Mohamed (2014) Block backward differentiation formulas with automatic order selection for solving ordinary differential equations. In: 19th International Conference on Applied Mathematics (AMATH '14), 15 - 17 Dec. 2014, Istanbul, Turkey. (pp. 146-152). |
| spellingShingle | Ibrahim, Zarina Bibi M. Nasir, N. A. A. Othman, Khairil Iskandar Suleiman, Mohamed Block backward differentiation formulas with automatic order selection for solving ordinary differential equations |
| title | Block backward differentiation formulas with automatic order selection for solving ordinary differential equations |
| title_full | Block backward differentiation formulas with automatic order selection for solving ordinary differential equations |
| title_fullStr | Block backward differentiation formulas with automatic order selection for solving ordinary differential equations |
| title_full_unstemmed | Block backward differentiation formulas with automatic order selection for solving ordinary differential equations |
| title_short | Block backward differentiation formulas with automatic order selection for solving ordinary differential equations |
| title_sort | block backward differentiation formulas with automatic order selection for solving ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/33583/ http://psasir.upm.edu.my/id/eprint/33583/1/33583.pdf |