Zero-dissipative trigonometrically fitted hybrid method for numerical solution of oscillatory problems
In this paper, an improved trigonometrically fitted zero-dissipative explicit two-step hybrid method with fifth algebraic order is derived. The method is applied to several problems which solutions are oscillatory in nature. Numerical results obtained are compared with existing methods in the scient...
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/42242/1/Zero-dissipative%20trigonometrically%20fitted%20hybrid%20method%20for%20numerical%20solution%20of%20oscillatory%20problems.pdf |
| _version_ | 1825929122785787904 |
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| author | Jikantoro, Yusuf Dauda Ismail, Fudziah Senu, Norazak |
| author_facet | Jikantoro, Yusuf Dauda Ismail, Fudziah Senu, Norazak |
| author_sort | Jikantoro, Yusuf Dauda |
| collection | UPM |
| description | In this paper, an improved trigonometrically fitted zero-dissipative explicit two-step hybrid method with fifth algebraic order is derived. The method is applied to several problems which solutions are oscillatory in nature. Numerical results obtained are compared with existing methods in the scientific literature. The comparison shows that the new method is more effective and efficient than the existing methods of the same order. |
| first_indexed | 2024-03-06T08:52:14Z |
| format | Article |
| id | upm.eprints-42242 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:52:14Z |
| publishDate | 2015 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | upm.eprints-422422016-04-26T02:21:11Z http://psasir.upm.edu.my/id/eprint/42242/ Zero-dissipative trigonometrically fitted hybrid method for numerical solution of oscillatory problems Jikantoro, Yusuf Dauda Ismail, Fudziah Senu, Norazak In this paper, an improved trigonometrically fitted zero-dissipative explicit two-step hybrid method with fifth algebraic order is derived. The method is applied to several problems which solutions are oscillatory in nature. Numerical results obtained are compared with existing methods in the scientific literature. The comparison shows that the new method is more effective and efficient than the existing methods of the same order. Penerbit Universiti Kebangsaan Malaysia 2015 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/42242/1/Zero-dissipative%20trigonometrically%20fitted%20hybrid%20method%20for%20numerical%20solution%20of%20oscillatory%20problems.pdf Jikantoro, Yusuf Dauda and Ismail, Fudziah and Senu, Norazak (2015) Zero-dissipative trigonometrically fitted hybrid method for numerical solution of oscillatory problems. Sains Malaysiana, 44 (3). pp. 473-482. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol44num3_2015/contentsVol44num3_2015.html |
| spellingShingle | Jikantoro, Yusuf Dauda Ismail, Fudziah Senu, Norazak Zero-dissipative trigonometrically fitted hybrid method for numerical solution of oscillatory problems |
| title | Zero-dissipative trigonometrically fitted hybrid method for numerical solution of oscillatory problems |
| title_full | Zero-dissipative trigonometrically fitted hybrid method for numerical solution of oscillatory problems |
| title_fullStr | Zero-dissipative trigonometrically fitted hybrid method for numerical solution of oscillatory problems |
| title_full_unstemmed | Zero-dissipative trigonometrically fitted hybrid method for numerical solution of oscillatory problems |
| title_short | Zero-dissipative trigonometrically fitted hybrid method for numerical solution of oscillatory problems |
| title_sort | zero dissipative trigonometrically fitted hybrid method for numerical solution of oscillatory problems |
| url | http://psasir.upm.edu.my/id/eprint/42242/1/Zero-dissipative%20trigonometrically%20fitted%20hybrid%20method%20for%20numerical%20solution%20of%20oscillatory%20problems.pdf |
| work_keys_str_mv | AT jikantoroyusufdauda zerodissipativetrigonometricallyfittedhybridmethodfornumericalsolutionofoscillatoryproblems AT ismailfudziah zerodissipativetrigonometricallyfittedhybridmethodfornumericalsolutionofoscillatoryproblems AT senunorazak zerodissipativetrigonometricallyfittedhybridmethodfornumericalsolutionofoscillatoryproblems |