Variable step three-point block methods for solving stiff ordinary differential equations
In this paper, we consider the numerical solution of first order stiff ordinary differential equations (ODEs) by a class of variable step size three points Block Backward Differentiation Formulas (BBDFs) methods. The basic formulation using three back values and the step size controlling strategy is...
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| Format: | Conference or Workshop Item |
| Language: | English |
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WSEAS Press
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/64987/ http://psasir.upm.edu.my/id/eprint/64987/1/MA-12.pdf |
| _version_ | 1848855158525526016 |
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| author | Mahayadin, Mahfuzah Othman, Khairil Iskandar Ibrahim, Zarina Bibi |
| author_facet | Mahayadin, Mahfuzah Othman, Khairil Iskandar Ibrahim, Zarina Bibi |
| author_sort | Mahayadin, Mahfuzah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider the numerical solution of first order stiff ordinary differential equations (ODEs) by a class of variable step size three points Block Backward Differentiation Formulas (BBDFs) methods. The basic formulation using three back values and the step size controlling strategy is described. In order to optimize the performance in terms of precision and the computational time, all the coefficients of the method will be stored in simplified form to avoid the repetitive computation of the coefficients as the step changes in the integration interval. Numerical results show the 3-point BBDF method gives better accuracy compared to the existing ODE solver, ode15s when solving ODEs problems. |
| first_indexed | 2025-11-15T11:21:19Z |
| format | Conference or Workshop Item |
| id | upm-64987 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:21:19Z |
| publishDate | 2013 |
| publisher | WSEAS Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-649872018-09-03T04:21:00Z http://psasir.upm.edu.my/id/eprint/64987/ Variable step three-point block methods for solving stiff ordinary differential equations Mahayadin, Mahfuzah Othman, Khairil Iskandar Ibrahim, Zarina Bibi In this paper, we consider the numerical solution of first order stiff ordinary differential equations (ODEs) by a class of variable step size three points Block Backward Differentiation Formulas (BBDFs) methods. The basic formulation using three back values and the step size controlling strategy is described. In order to optimize the performance in terms of precision and the computational time, all the coefficients of the method will be stored in simplified form to avoid the repetitive computation of the coefficients as the step changes in the integration interval. Numerical results show the 3-point BBDF method gives better accuracy compared to the existing ODE solver, ode15s when solving ODEs problems. WSEAS Press 2013 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/64987/1/MA-12.pdf Mahayadin, Mahfuzah and Othman, Khairil Iskandar and Ibrahim, Zarina Bibi (2013) Variable step three-point block methods for solving stiff ordinary differential equations. In: 15th International Conference on Mathematical and Computational Methods in Science and Engineering (MACMESE '13), 2-4 Apr. 2013, Kuala Lumpur, Malaysia. (pp. 80-83). |
| spellingShingle | Mahayadin, Mahfuzah Othman, Khairil Iskandar Ibrahim, Zarina Bibi Variable step three-point block methods for solving stiff ordinary differential equations |
| title | Variable step three-point block methods for solving stiff ordinary differential equations |
| title_full | Variable step three-point block methods for solving stiff ordinary differential equations |
| title_fullStr | Variable step three-point block methods for solving stiff ordinary differential equations |
| title_full_unstemmed | Variable step three-point block methods for solving stiff ordinary differential equations |
| title_short | Variable step three-point block methods for solving stiff ordinary differential equations |
| title_sort | variable step three-point block methods for solving stiff ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/64987/ http://psasir.upm.edu.my/id/eprint/64987/1/MA-12.pdf |