A new fourth-order embedded method based on the harmonic mean
In this paper we formulate an embedded method based on harmonic and arithmetic means of order 4. This method together with RK-Harmonic scheme may be used to estimate the solutions of initial value problems. The absolute stability region of this scheme is also studied and we conclude with a numerical...
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| Format: | Article |
| Language: | en |
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Department of Mathematics, Faculty of Science
1998
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| Online Access: | http://eprints.utm.my/2413/1/YaacobNazeeruddin1998_NewFourth-OrderEmbeddedMethod.pdf http://eprints.utm.my/2413/ http://www.fs.utm.my/matematika/content/view/29/31/ |
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| _version_ | 1845470688742211584 |
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| author | Yaacob, Nazeeruddin Sanugi, Bahrom |
| author_facet | Yaacob, Nazeeruddin Sanugi, Bahrom |
| author_sort | Yaacob, Nazeeruddin |
| building | UTM Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Malaysia |
| content_source | UTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | In this paper we formulate an embedded method based on harmonic and arithmetic means of order 4. This method together with RK-Harmonic scheme may be used to estimate the solutions of initial value problems. The absolute stability region of this scheme is also studied and we conclude with a numerical example to justify the effectiveness of the method |
| format | Article |
| id | my.utm.eprints-2413 |
| institution | Universiti Teknologi Malaysia |
| language | en |
| publishDate | 1998 |
| publisher | Department of Mathematics, Faculty of Science |
| record_format | eprints |
| spelling | my.utm.eprints-24132010-06-25T01:05:58Z http://eprints.utm.my/2413/ A new fourth-order embedded method based on the harmonic mean Yaacob, Nazeeruddin Sanugi, Bahrom QA Mathematics In this paper we formulate an embedded method based on harmonic and arithmetic means of order 4. This method together with RK-Harmonic scheme may be used to estimate the solutions of initial value problems. The absolute stability region of this scheme is also studied and we conclude with a numerical example to justify the effectiveness of the method Department of Mathematics, Faculty of Science 1998-12 Article PeerReviewed application/pdf en http://eprints.utm.my/2413/1/YaacobNazeeruddin1998_NewFourth-OrderEmbeddedMethod.pdf Yaacob, Nazeeruddin and Sanugi, Bahrom (1998) A new fourth-order embedded method based on the harmonic mean. Matematika, 14 (2). pp. 1-6. ISSN 0127-8274 http://www.fs.utm.my/matematika/content/view/29/31/ |
| spellingShingle | QA Mathematics Yaacob, Nazeeruddin Sanugi, Bahrom A new fourth-order embedded method based on the harmonic mean |
| title | A new fourth-order embedded method based on the harmonic mean |
| title_full | A new fourth-order embedded method based on the harmonic mean |
| title_fullStr | A new fourth-order embedded method based on the harmonic mean |
| title_full_unstemmed | A new fourth-order embedded method based on the harmonic mean |
| title_short | A new fourth-order embedded method based on the harmonic mean |
| title_sort | new fourth-order embedded method based on the harmonic mean |
| topic | QA Mathematics |
| url | http://eprints.utm.my/2413/1/YaacobNazeeruddin1998_NewFourth-OrderEmbeddedMethod.pdf http://eprints.utm.my/2413/ http://www.fs.utm.my/matematika/content/view/29/31/ |
| url_provider | http://eprints.utm.my/ |