Componentwise block partitioning: a new strategy to solve stiff ordinary differential equations
Componentwise Block Partitioning is a new strategy to solve stiff ODEs, based on Block Backward Differentiation Formulas (BBDFs), and block of Adam type formulas. In this partitioning technique, the ODEs system is initially solved by Adam formulas until the equation that cause instability and stiffn...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
American Institute of Physics
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57507/ http://psasir.upm.edu.my/id/eprint/57507/1/Componentwise%20block%20partitioning%20a%20new%20strategy%20to%20solve%20stiff%20ordinary%20differential%20equations.pdf |
| _version_ | 1848853386485563392 |
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| author | Othman, Khairil Iskandar Ibrahim, Zarina Bibi |
| author_facet | Othman, Khairil Iskandar Ibrahim, Zarina Bibi |
| author_sort | Othman, Khairil Iskandar |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Componentwise Block Partitioning is a new strategy to solve stiff ODEs, based on Block Backward Differentiation Formulas (BBDFs), and block of Adam type formulas. In this partitioning technique, the ODEs system is initially solved by Adam formulas until the equation that cause instability and stiffness is identified. Then, the equations that caused instability are placed into stiff subsystem and solved using BBDF. Numerical comparisons with code in the literature such as ode15s show the efficiency of the proposed partitioning technique. |
| first_indexed | 2025-11-15T10:53:09Z |
| format | Conference or Workshop Item |
| id | upm-57507 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:09Z |
| publishDate | 2012 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-575072017-09-29T02:26:35Z http://psasir.upm.edu.my/id/eprint/57507/ Componentwise block partitioning: a new strategy to solve stiff ordinary differential equations Othman, Khairil Iskandar Ibrahim, Zarina Bibi Componentwise Block Partitioning is a new strategy to solve stiff ODEs, based on Block Backward Differentiation Formulas (BBDFs), and block of Adam type formulas. In this partitioning technique, the ODEs system is initially solved by Adam formulas until the equation that cause instability and stiffness is identified. Then, the equations that caused instability are placed into stiff subsystem and solved using BBDF. Numerical comparisons with code in the literature such as ode15s show the efficiency of the proposed partitioning technique. American Institute of Physics 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57507/1/Componentwise%20block%20partitioning%20a%20new%20strategy%20to%20solve%20stiff%20ordinary%20differential%20equations.pdf Othman, Khairil Iskandar and Ibrahim, Zarina Bibi (2012) Componentwise block partitioning: a new strategy to solve stiff ordinary differential equations. In: 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA 2012), 10-14 July 2012, Vienna, Austria. (pp. 724-726). 10.1063/1.4765567 |
| spellingShingle | Othman, Khairil Iskandar Ibrahim, Zarina Bibi Componentwise block partitioning: a new strategy to solve stiff ordinary differential equations |
| title | Componentwise block partitioning: a new strategy to solve stiff ordinary differential equations |
| title_full | Componentwise block partitioning: a new strategy to solve stiff ordinary differential equations |
| title_fullStr | Componentwise block partitioning: a new strategy to solve stiff ordinary differential equations |
| title_full_unstemmed | Componentwise block partitioning: a new strategy to solve stiff ordinary differential equations |
| title_short | Componentwise block partitioning: a new strategy to solve stiff ordinary differential equations |
| title_sort | componentwise block partitioning: a new strategy to solve stiff ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/57507/ http://psasir.upm.edu.my/id/eprint/57507/ http://psasir.upm.edu.my/id/eprint/57507/1/Componentwise%20block%20partitioning%20a%20new%20strategy%20to%20solve%20stiff%20ordinary%20differential%20equations.pdf |