On the integration of stiff ODEs using block backward differentiation formulas of order six
In this research, a six-order, fully implicit Block Backward Differentiation Formula with two off-step points (BBDFO(6)), for the integration of first-order ordinary differential equations (ODEs) that exhibit stiffness, is proposed. The order, consistency and stability properties of the method are d...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Multidisciplinary Digital Publishing Institute
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/86976/1/On%20the%20integration%20of%20stiff.pdf |
| _version_ | 1825952296975990784 |
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| author | Mohd Nasarudin, Amiratul Ashikin Ibrahim, Zarina Bibi Rosali, Haliza |
| author_facet | Mohd Nasarudin, Amiratul Ashikin Ibrahim, Zarina Bibi Rosali, Haliza |
| author_sort | Mohd Nasarudin, Amiratul Ashikin |
| collection | UPM |
| description | In this research, a six-order, fully implicit Block Backward Differentiation Formula with two off-step points (BBDFO(6)), for the integration of first-order ordinary differential equations (ODEs) that exhibit stiffness, is proposed. The order, consistency and stability properties of the method are discussed, and the method is found to be zero stable and consistent. Hence, the method is convergent. The numerical comparisons with the existing methods of a similar type are given to demonstrate the accuracy of the derived method. |
| first_indexed | 2024-03-06T10:42:49Z |
| format | Article |
| id | upm.eprints-86976 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:42:49Z |
| publishDate | 2020 |
| publisher | Multidisciplinary Digital Publishing Institute |
| record_format | dspace |
| spelling | upm.eprints-869762022-09-05T03:34:24Z http://psasir.upm.edu.my/id/eprint/86976/ On the integration of stiff ODEs using block backward differentiation formulas of order six Mohd Nasarudin, Amiratul Ashikin Ibrahim, Zarina Bibi Rosali, Haliza In this research, a six-order, fully implicit Block Backward Differentiation Formula with two off-step points (BBDFO(6)), for the integration of first-order ordinary differential equations (ODEs) that exhibit stiffness, is proposed. The order, consistency and stability properties of the method are discussed, and the method is found to be zero stable and consistent. Hence, the method is convergent. The numerical comparisons with the existing methods of a similar type are given to demonstrate the accuracy of the derived method. Multidisciplinary Digital Publishing Institute 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/86976/1/On%20the%20integration%20of%20stiff.pdf Mohd Nasarudin, Amiratul Ashikin and Ibrahim, Zarina Bibi and Rosali, Haliza (2020) On the integration of stiff ODEs using block backward differentiation formulas of order six. Symmetry-Basel, 12 (6). pp. 1-13. ISSN 2073-8994 https://www.mdpi.com/2073-8994/12/6/952 |
| spellingShingle | Mohd Nasarudin, Amiratul Ashikin Ibrahim, Zarina Bibi Rosali, Haliza On the integration of stiff ODEs using block backward differentiation formulas of order six |
| title | On the integration of stiff ODEs using block backward differentiation formulas of order six |
| title_full | On the integration of stiff ODEs using block backward differentiation formulas of order six |
| title_fullStr | On the integration of stiff ODEs using block backward differentiation formulas of order six |
| title_full_unstemmed | On the integration of stiff ODEs using block backward differentiation formulas of order six |
| title_short | On the integration of stiff ODEs using block backward differentiation formulas of order six |
| title_sort | on the integration of stiff odes using block backward differentiation formulas of order six |
| url | http://psasir.upm.edu.my/id/eprint/86976/1/On%20the%20integration%20of%20stiff.pdf |
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