Development of a-stable block method for the solution of stiff ordinary differential equations
A fixed step-size multistep block method for stiff Ordinary Differential Equations (ODEs) using the 2-point Block Backward Differentiation Formulas (BBDF) with improved efficiency is established. The method is developed using Taylor’s series expansion. The order and the error constant of the method...
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| Format: | Article |
| Language: | English |
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Medwell Publications
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81149/ http://psasir.upm.edu.my/id/eprint/81149/1/A%20STABLE.pdf |
| _version_ | 1848859036711124992 |
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| author | Mohamad Noor, Nursyazwani Ibrahim, Zarina Bibi |
| author_facet | Mohamad Noor, Nursyazwani Ibrahim, Zarina Bibi |
| author_sort | Mohamad Noor, Nursyazwani |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A fixed step-size multistep block method for stiff Ordinary Differential Equations (ODEs) using the 2-point Block Backward Differentiation Formulas (BBDF) with improved efficiency is established. The method is developed using Taylor’s series expansion. The order and the error constant of the method are determined. To validate the new method is suitable for solving stiff ODEs, the stability and convergence properties are discussed. Numerical results indicate that the new method produced better accuracy than the existing methods when sloving the same problems. |
| first_indexed | 2025-11-15T12:22:57Z |
| format | Article |
| id | upm-81149 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:22:57Z |
| publishDate | 2019 |
| publisher | Medwell Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-811492020-09-09T07:46:38Z http://psasir.upm.edu.my/id/eprint/81149/ Development of a-stable block method for the solution of stiff ordinary differential equations Mohamad Noor, Nursyazwani Ibrahim, Zarina Bibi A fixed step-size multistep block method for stiff Ordinary Differential Equations (ODEs) using the 2-point Block Backward Differentiation Formulas (BBDF) with improved efficiency is established. The method is developed using Taylor’s series expansion. The order and the error constant of the method are determined. To validate the new method is suitable for solving stiff ODEs, the stability and convergence properties are discussed. Numerical results indicate that the new method produced better accuracy than the existing methods when sloving the same problems. Medwell Publications 2019 Article NonPeerReviewed text en http://psasir.upm.edu.my/id/eprint/81149/1/A%20STABLE.pdf Mohamad Noor, Nursyazwani and Ibrahim, Zarina Bibi (2019) Development of a-stable block method for the solution of stiff ordinary differential equations. Journal of Engineering and Applied Sciences, 14 (22). pp. 8160-8167. ISSN 1816-949X https://medwelljournals.com/abstract/?doi=jeasci.2019.8160.8167 10.36478/jeasci.2019.8160.8167 |
| spellingShingle | Mohamad Noor, Nursyazwani Ibrahim, Zarina Bibi Development of a-stable block method for the solution of stiff ordinary differential equations |
| title | Development of a-stable block method for the solution of stiff ordinary differential equations |
| title_full | Development of a-stable block method for the solution of stiff ordinary differential equations |
| title_fullStr | Development of a-stable block method for the solution of stiff ordinary differential equations |
| title_full_unstemmed | Development of a-stable block method for the solution of stiff ordinary differential equations |
| title_short | Development of a-stable block method for the solution of stiff ordinary differential equations |
| title_sort | development of a-stable block method for the solution of stiff ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/81149/ http://psasir.upm.edu.my/id/eprint/81149/ http://psasir.upm.edu.my/id/eprint/81149/ http://psasir.upm.edu.my/id/eprint/81149/1/A%20STABLE.pdf |