Solving stiff differential equations using A-stable block method
This paper will present the two-point block one-step method for solving stiff ordinary differential equations (ODE s). The propose block method is A-stable and the order is three. The solutions will be obtain simultaneously in block and produces two approximate solutions using constant step size. Th...
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| Format: | Article |
| Language: | English |
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Academic Publications
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/35415/ http://psasir.upm.edu.my/id/eprint/35415/1/Solving%20stiff%20differential%20equations%20using%20A-stable%20block%20method.pdf |
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| author | Mohd Zabidi, Muhammad Izzat Zakwan Abdul Majid, Zanariah Senu, Norazak |
| author_facet | Mohd Zabidi, Muhammad Izzat Zakwan Abdul Majid, Zanariah Senu, Norazak |
| author_sort | Mohd Zabidi, Muhammad Izzat Zakwan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper will present the two-point block one-step method for solving stiff ordinary differential equations (ODE s). The propose block method is A-stable and the order is three. The solutions will be obtain simultaneously in block and produces two approximate solutions using constant step size. The method is similar as the one-step method and it is self-starting but the implementation is based on the predictor and corrector formulae. The order of the method will be discussed. The numerical results is presented to illustrate the applicability of the propose method. The results clearly shown that the propose method is able to produce comparable and better results compared to the existing method when solving stiff differential equations. |
| first_indexed | 2025-11-15T09:28:18Z |
| format | Article |
| id | upm-35415 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:28:18Z |
| publishDate | 2014 |
| publisher | Academic Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-354152017-06-23T07:51:53Z http://psasir.upm.edu.my/id/eprint/35415/ Solving stiff differential equations using A-stable block method Mohd Zabidi, Muhammad Izzat Zakwan Abdul Majid, Zanariah Senu, Norazak This paper will present the two-point block one-step method for solving stiff ordinary differential equations (ODE s). The propose block method is A-stable and the order is three. The solutions will be obtain simultaneously in block and produces two approximate solutions using constant step size. The method is similar as the one-step method and it is self-starting but the implementation is based on the predictor and corrector formulae. The order of the method will be discussed. The numerical results is presented to illustrate the applicability of the propose method. The results clearly shown that the propose method is able to produce comparable and better results compared to the existing method when solving stiff differential equations. Academic Publications 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/35415/1/Solving%20stiff%20differential%20equations%20using%20A-stable%20block%20method.pdf Mohd Zabidi, Muhammad Izzat Zakwan and Abdul Majid, Zanariah and Senu, Norazak (2014) Solving stiff differential equations using A-stable block method. International Journal of Pure and Applied Mathematics, 93 (3). pp. 409-425. ISSN 1311-8080; ESSN: 1314-3395 http://www.ijpam.eu/contents/2014-93-3/11/index.html |
| spellingShingle | Mohd Zabidi, Muhammad Izzat Zakwan Abdul Majid, Zanariah Senu, Norazak Solving stiff differential equations using A-stable block method |
| title | Solving stiff differential equations using A-stable block method |
| title_full | Solving stiff differential equations using A-stable block method |
| title_fullStr | Solving stiff differential equations using A-stable block method |
| title_full_unstemmed | Solving stiff differential equations using A-stable block method |
| title_short | Solving stiff differential equations using A-stable block method |
| title_sort | solving stiff differential equations using a-stable block method |
| url | http://psasir.upm.edu.my/id/eprint/35415/ http://psasir.upm.edu.my/id/eprint/35415/ http://psasir.upm.edu.my/id/eprint/35415/1/Solving%20stiff%20differential%20equations%20using%20A-stable%20block%20method.pdf |