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 where by the solutions are oscillatory in nature. Numerical results obtained are compared with existing methods in the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2015
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| Online Access: | http://journalarticle.ukm.my/8491/1/20_Yusuf_Dauda.pdf |
| _version_ | 1825726262497247232 |
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| author | Yusuf Dauda Jikantoro, Fudziah Ismail, Norazak Senu, |
| author_facet | Yusuf Dauda Jikantoro, Fudziah Ismail, Norazak Senu, |
| author_sort | Yusuf Dauda Jikantoro, |
| collection | UKM |
| 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 where by the 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 | 2024-03-06T04:08:14Z |
| format | Article |
| id | ukm.eprints-8491 |
| institution | Universiti Kebangsaan Malaysia |
| language | English |
| last_indexed | 2024-03-06T04:08:14Z |
| publishDate | 2015 |
| publisher | Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | ukm.eprints-84912016-12-14T06:47:20Z http://journalarticle.ukm.my/8491/ Zero-dissipative trigonometrically fitted hybrid method for numerical solution of oscillatory problems Yusuf Dauda Jikantoro, Fudziah Ismail, Norazak Senu, 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 where by the 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. Universiti Kebangsaan Malaysia 2015-03 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/8491/1/20_Yusuf_Dauda.pdf Yusuf Dauda Jikantoro, and Fudziah Ismail, and Norazak Senu, (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/ |
| spellingShingle | Yusuf Dauda Jikantoro, Fudziah Ismail, Norazak Senu, 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://journalarticle.ukm.my/8491/1/20_Yusuf_Dauda.pdf |
| work_keys_str_mv | AT yusufdaudajikantoro zerodissipativetrigonometricallyfittedhybridmethodfornumericalsolutionofoscillatoryproblems AT fudziahismail zerodissipativetrigonometricallyfittedhybridmethodfornumericalsolutionofoscillatoryproblems AT norazaksenu zerodissipativetrigonometricallyfittedhybridmethodfornumericalsolutionofoscillatoryproblems |