A new non-linear multistep method based on centroidal mean in solving initial value problems
A new 2-step fourth order implicit non-linear multistep method based on centroidal mean is considered in this paper.The new method is tested on some test problems; and numerical results show that the new method is able to produce acceptable numerical solutions for these test problems.Comparisons in...
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| Format: | Article |
| Language: | English |
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Jabatan Matematik Universiti Teknologi Malaysia
2009
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| Online Access: | https://repo.uum.edu.my/id/eprint/7676/1/A_new_n.pdf |
| _version_ | 1803625461089042432 |
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| author | Yaacob, Nazeeruddin Teh, Yuan Ying |
| author_facet | Yaacob, Nazeeruddin Teh, Yuan Ying |
| author_sort | Yaacob, Nazeeruddin |
| collection | UUM |
| description | A new 2-step fourth order implicit non-linear multistep method based on centroidal mean is considered in this paper.The new method is tested on some test problems; and numerical results show that the new method is able to produce acceptable numerical solutions for these test problems.Comparisons in terms of numerical accuracy between the new method and the classical 2-step Adams-Moulton method are carried out as well. Numerical experiments show that our new method performs better than the classical 2-step Adams-Moulton method in solving these test problems. |
| first_indexed | 2024-07-04T05:34:38Z |
| format | Article |
| id | uum-7676 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T05:34:38Z |
| publishDate | 2009 |
| publisher | Jabatan Matematik Universiti Teknologi Malaysia |
| record_format | dspace |
| spelling | uum-76762013-05-22T06:50:01Z https://repo.uum.edu.my/id/eprint/7676/ A new non-linear multistep method based on centroidal mean in solving initial value problems Yaacob, Nazeeruddin Teh, Yuan Ying QA Mathematics A new 2-step fourth order implicit non-linear multistep method based on centroidal mean is considered in this paper.The new method is tested on some test problems; and numerical results show that the new method is able to produce acceptable numerical solutions for these test problems.Comparisons in terms of numerical accuracy between the new method and the classical 2-step Adams-Moulton method are carried out as well. Numerical experiments show that our new method performs better than the classical 2-step Adams-Moulton method in solving these test problems. Jabatan Matematik Universiti Teknologi Malaysia 2009 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/7676/1/A_new_n.pdf Yaacob, Nazeeruddin and Teh, Yuan Ying (2009) A new non-linear multistep method based on centroidal mean in solving initial value problems. Matematika, 25 (2). pp. 167-176. ISSN 0127-8274 http://www.fs.utm.my/matematika/ |
| spellingShingle | QA Mathematics Yaacob, Nazeeruddin Teh, Yuan Ying A new non-linear multistep method based on centroidal mean in solving initial value problems |
| title | A new non-linear multistep method based on centroidal mean
in solving initial value problems |
| title_full | A new non-linear multistep method based on centroidal mean
in solving initial value problems |
| title_fullStr | A new non-linear multistep method based on centroidal mean
in solving initial value problems |
| title_full_unstemmed | A new non-linear multistep method based on centroidal mean
in solving initial value problems |
| title_short | A new non-linear multistep method based on centroidal mean
in solving initial value problems |
| title_sort | new non linear multistep method based on centroidal mean in solving initial value problems |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/7676/1/A_new_n.pdf |
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