Extra derivative multistep methods with trigonometric fitting for oscillatory problems
A set of new linear multistep method of order three and four with extra derivatives are developed for solving special second order ordinary differential equations. The extra derivatives are incorporated into the methods, so that, a more accurate numerical results can be obtained. The methods are dev...
| Main Authors: | , , , |
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| Format: | Article |
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Medwell Publications
2019
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| _version_ | 1796980679108460544 |
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| author | Ahmad, Sufia Zulfa Turki, Mohamed Yousif Ismail, Fudziah Senu, Norazak |
| author_facet | Ahmad, Sufia Zulfa Turki, Mohamed Yousif Ismail, Fudziah Senu, Norazak |
| author_sort | Ahmad, Sufia Zulfa |
| collection | UPM |
| description | A set of new linear multistep method of order three and four with extra derivatives are developed for solving special second order ordinary differential equations. The extra derivatives are incorporated into the methods, so that, a more accurate numerical results can be obtained. The methods are developed using the sequence of Chebyshev polynomials as the basis function. The methods are then trigonometrically-fitted, so that, they are suitable for solving highly oscillatory problems arise from the special second order ordinary differential equations. Numerical experiments are carried out to show the efficiency and accuracy of the new methods in comparison with methods in the literature. |
| first_indexed | 2024-03-06T10:26:36Z |
| format | Article |
| id | upm.eprints-79831 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-03-06T10:26:36Z |
| publishDate | 2019 |
| publisher | Medwell Publications |
| record_format | dspace |
| spelling | upm.eprints-798312022-11-14T02:29:12Z http://psasir.upm.edu.my/id/eprint/79831/ Extra derivative multistep methods with trigonometric fitting for oscillatory problems Ahmad, Sufia Zulfa Turki, Mohamed Yousif Ismail, Fudziah Senu, Norazak A set of new linear multistep method of order three and four with extra derivatives are developed for solving special second order ordinary differential equations. The extra derivatives are incorporated into the methods, so that, a more accurate numerical results can be obtained. The methods are developed using the sequence of Chebyshev polynomials as the basis function. The methods are then trigonometrically-fitted, so that, they are suitable for solving highly oscillatory problems arise from the special second order ordinary differential equations. Numerical experiments are carried out to show the efficiency and accuracy of the new methods in comparison with methods in the literature. Medwell Publications 2019 Article PeerReviewed Ahmad, Sufia Zulfa and Turki, Mohamed Yousif and Ismail, Fudziah and Senu, Norazak (2019) Extra derivative multistep methods with trigonometric fitting for oscillatory problems. Journal of Engineering and Applied Sciences, 14 (7). pp. 2230-2239. ISSN 1816-949X https://medwelljournals.com/abstract/?doi=jeasci.2019.2230.2239 10.36478/jeasci.2019.2230.2239 |
| spellingShingle | Ahmad, Sufia Zulfa Turki, Mohamed Yousif Ismail, Fudziah Senu, Norazak Extra derivative multistep methods with trigonometric fitting for oscillatory problems |
| title | Extra derivative multistep methods with trigonometric fitting for oscillatory problems |
| title_full | Extra derivative multistep methods with trigonometric fitting for oscillatory problems |
| title_fullStr | Extra derivative multistep methods with trigonometric fitting for oscillatory problems |
| title_full_unstemmed | Extra derivative multistep methods with trigonometric fitting for oscillatory problems |
| title_short | Extra derivative multistep methods with trigonometric fitting for oscillatory problems |
| title_sort | extra derivative multistep methods with trigonometric fitting for oscillatory problems |
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