Extended one-step block method for solving stiff initial value problem
An extended 2-point one-step block method formula with order four is formulated for solving stiff initial value problem. The method is similar to Runge-Kutta method which has a self-starting formula. The approximation solutions at two points will be computed simultaneously by integrating the coeffic...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51894/1/Extended%20one-step%20block%20method%20for%20solving%20stiff%20initial%20value%20problem.pdf |
| _version_ | 1825930618457817088 |
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| author | Mukhtar, Nur Zahidah Abdul Majid, Zanariah |
| author_facet | Mukhtar, Nur Zahidah Abdul Majid, Zanariah |
| author_sort | Mukhtar, Nur Zahidah |
| collection | UPM |
| description | An extended 2-point one-step block method formula with order four is formulated for solving stiff initial value problem. The method is similar to Runge-Kutta method which has a self-starting formula. The approximation solutions at two points will be computed simultaneously by integrating the coefficients over the closest point in the block. The accuracy and the stability properties of the method will be investigated. The numerical results show the efficiency of the proposed method in terms of accuracy when solving stiff initial value problems. |
| first_indexed | 2024-03-06T09:14:18Z |
| format | Conference or Workshop Item |
| id | upm.eprints-51894 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:14:18Z |
| publishDate | 2015 |
| publisher | IEEE |
| record_format | dspace |
| spelling | upm.eprints-518942017-05-03T04:11:41Z http://psasir.upm.edu.my/id/eprint/51894/ Extended one-step block method for solving stiff initial value problem Mukhtar, Nur Zahidah Abdul Majid, Zanariah An extended 2-point one-step block method formula with order four is formulated for solving stiff initial value problem. The method is similar to Runge-Kutta method which has a self-starting formula. The approximation solutions at two points will be computed simultaneously by integrating the coefficients over the closest point in the block. The accuracy and the stability properties of the method will be investigated. The numerical results show the efficiency of the proposed method in terms of accuracy when solving stiff initial value problems. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51894/1/Extended%20one-step%20block%20method%20for%20solving%20stiff%20initial%20value%20problem.pdf Mukhtar, Nur Zahidah and Abdul Majid, Zanariah (2015) Extended one-step block method for solving stiff initial value problem. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 130-134). http://ieeexplore.ieee.org/document/7357040/ 10.1109/ICREM.2015.7357040 |
| spellingShingle | Mukhtar, Nur Zahidah Abdul Majid, Zanariah Extended one-step block method for solving stiff initial value problem |
| title | Extended one-step block method for solving stiff initial value problem |
| title_full | Extended one-step block method for solving stiff initial value problem |
| title_fullStr | Extended one-step block method for solving stiff initial value problem |
| title_full_unstemmed | Extended one-step block method for solving stiff initial value problem |
| title_short | Extended one-step block method for solving stiff initial value problem |
| title_sort | extended one step block method for solving stiff initial value problem |
| url | http://psasir.upm.edu.my/id/eprint/51894/1/Extended%20one-step%20block%20method%20for%20solving%20stiff%20initial%20value%20problem.pdf |
| work_keys_str_mv | AT mukhtarnurzahidah extendedonestepblockmethodforsolvingstiffinitialvalueproblem AT abdulmajidzanariah extendedonestepblockmethodforsolvingstiffinitialvalueproblem |