Intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations
Intervalwise partitioning is a strategy to solve stiff ordinary differential equations (ODEs). This strategy using on 3-point block method will initially starts solving ODE using Adams method, and switch the system to Backward Differentiation Formula (BDF) when there is an indication of stiffness. I...
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57605/ http://psasir.upm.edu.my/id/eprint/57605/1/Intervalwise%20block%20partitioning%20for%203-point%20in%20solving%20linear%20systems%20of%20first%20order%20ordinary%20differential%20equations.pdf |
| _version_ | 1848853413753782272 |
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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 | Intervalwise partitioning is a strategy to solve stiff ordinary differential equations (ODEs). This strategy using on 3-point block method will initially starts solving ODE using Adams method, and switch the system to Backward Differentiation Formula (BDF) when there is an indication of stiffness. Indication of stiffness will be based on hacc > hiter and the trace of the Jacobian. The comparison with existing method reveals that this partitioning strategy can be an alternative method to solve stiff ODEs. |
| first_indexed | 2025-11-15T10:53:35Z |
| format | Conference or Workshop Item |
| id | upm-57605 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:35Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-576052017-10-24T07:37:09Z http://psasir.upm.edu.my/id/eprint/57605/ Intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations Mahayadin, Mahfuzah Othman, Khairil Iskandar Ibrahim, Zarina Bibi Intervalwise partitioning is a strategy to solve stiff ordinary differential equations (ODEs). This strategy using on 3-point block method will initially starts solving ODE using Adams method, and switch the system to Backward Differentiation Formula (BDF) when there is an indication of stiffness. Indication of stiffness will be based on hacc > hiter and the trace of the Jacobian. The comparison with existing method reveals that this partitioning strategy can be an alternative method to solve stiff ODEs. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57605/1/Intervalwise%20block%20partitioning%20for%203-point%20in%20solving%20linear%20systems%20of%20first%20order%20ordinary%20differential%20equations.pdf Mahayadin, Mahfuzah and Othman, Khairil Iskandar and Ibrahim, Zarina Bibi (2016) Intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations. In: 4th International Conference on Mathematical Sciences (ICMS4), 15-17 Nov. 2016, Putrajaya, Malaysia. (pp. 1-8). 10.1063/1.4980873 |
| spellingShingle | Mahayadin, Mahfuzah Othman, Khairil Iskandar Ibrahim, Zarina Bibi Intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations |
| title | Intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations |
| title_full | Intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations |
| title_fullStr | Intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations |
| title_full_unstemmed | Intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations |
| title_short | Intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations |
| title_sort | intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/57605/ http://psasir.upm.edu.my/id/eprint/57605/ http://psasir.upm.edu.my/id/eprint/57605/1/Intervalwise%20block%20partitioning%20for%203-point%20in%20solving%20linear%20systems%20of%20first%20order%20ordinary%20differential%20equations.pdf |