An A-stable explicit rational block method for the numerical solution of initial value problem
In this paper,a 2-point explicit rational block method for the numerical solution of first order initial value problem is proposed.The main reason to consider rational block method is to improve the numerical accuracy and absolute stability property of esisting block multistep methods that are ba...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2014
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| Subjects: | |
| Online Access: | https://repo.uum.edu.my/id/eprint/12696/1/An.pdf |
| _version_ | 1825803050209509376 |
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| author | Teh, Yuan Ying Omar, Zurni Mansor, Kamarun Hizam |
| author_facet | Teh, Yuan Ying Omar, Zurni Mansor, Kamarun Hizam |
| author_sort | Teh, Yuan Ying |
| collection | UUM |
| description | In this paper,a 2-point explicit rational block method for the numerical solution of first order initial value problem
is proposed.The main reason to consider rational block method is to improve the numerical accuracy and absolute stability
property of esisting block multistep methods
that are based 011 polynomial approximants.
The proposed method is found to possess A-stability.Local truncation error is included
as well.Numerical experimentations and results using some test problems are presented.Numerical results are satisfying in terms of numerical accuracy.Finally,a conclusion is included. |
| first_indexed | 2024-07-04T05:50:34Z |
| format | Conference or Workshop Item |
| id | uum-12696 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T05:50:34Z |
| publishDate | 2014 |
| record_format | eprints |
| spelling | uum-126962016-05-26T01:38:34Z https://repo.uum.edu.my/id/eprint/12696/ An A-stable explicit rational block method for the numerical solution of initial value problem Teh, Yuan Ying Omar, Zurni Mansor, Kamarun Hizam QA Mathematics In this paper,a 2-point explicit rational block method for the numerical solution of first order initial value problem is proposed.The main reason to consider rational block method is to improve the numerical accuracy and absolute stability property of esisting block multistep methods that are based 011 polynomial approximants. The proposed method is found to possess A-stability.Local truncation error is included as well.Numerical experimentations and results using some test problems are presented.Numerical results are satisfying in terms of numerical accuracy.Finally,a conclusion is included. 2014-01-19 Conference or Workshop Item NonPeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/12696/1/An.pdf Teh, Yuan Ying and Omar, Zurni and Mansor, Kamarun Hizam (2014) An A-stable explicit rational block method for the numerical solution of initial value problem. In: International Conference on the Analysis and Mathematical Applications in Engineering and Science, 19th - 22nd January 2014, Curtin University Sarawak, Miri, Malaysia. (Unpublished) http://www.curtin.edu.my/amaes2014/ |
| spellingShingle | QA Mathematics Teh, Yuan Ying Omar, Zurni Mansor, Kamarun Hizam An A-stable explicit rational block method for the numerical solution of initial value problem |
| title | An A-stable explicit rational block method for the numerical solution of initial value problem |
| title_full | An A-stable explicit rational block method for the numerical solution of initial value problem |
| title_fullStr | An A-stable explicit rational block method for the numerical solution of initial value problem |
| title_full_unstemmed | An A-stable explicit rational block method for the numerical solution of initial value problem |
| title_short | An A-stable explicit rational block method for the numerical solution of initial value problem |
| title_sort | a stable explicit rational block method for the numerical solution of initial value problem |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/12696/1/An.pdf |
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