A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations
We derived a two-step, four-stage, and fifth-order semi-implicit hybrid method which can be used for solving special second-order ordinary differential equations. The method is then trigonometrically fitted so that it is suitable for solving problems which are oscillatory in nature. The methods are...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/52364/ http://psasir.upm.edu.my/id/eprint/52364/1/52364.pdf |
| _version_ | 1848852084972060672 |
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| author | Ahmad, Sufia Zulfa Ismail, Fudziah Senu, Norazak |
| author_facet | Ahmad, Sufia Zulfa Ismail, Fudziah Senu, Norazak |
| author_sort | Ahmad, Sufia Zulfa |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We derived a two-step, four-stage, and fifth-order semi-implicit hybrid method which can be used for solving special second-order ordinary differential equations. The method is then trigonometrically fitted so that it is suitable for solving problems which are oscillatory in nature. The methods are then used for solving oscillatory delay differential equations. Numerical results clearly show the efficiency of the new method when compared to the existing explicit and implicit methods in the scientific literature. |
| first_indexed | 2025-11-15T10:32:28Z |
| format | Article |
| id | upm-52364 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:32:28Z |
| publishDate | 2016 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-523642017-06-05T09:35:12Z http://psasir.upm.edu.my/id/eprint/52364/ A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations Ahmad, Sufia Zulfa Ismail, Fudziah Senu, Norazak We derived a two-step, four-stage, and fifth-order semi-implicit hybrid method which can be used for solving special second-order ordinary differential equations. The method is then trigonometrically fitted so that it is suitable for solving problems which are oscillatory in nature. The methods are then used for solving oscillatory delay differential equations. Numerical results clearly show the efficiency of the new method when compared to the existing explicit and implicit methods in the scientific literature. Hindawi Publishing Corporation 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52364/1/52364.pdf Ahmad, Sufia Zulfa and Ismail, Fudziah and Senu, Norazak (2016) A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations. Mathematical Problems in Engineering, 2016. art. no. 2863295. pp. 1-7. ISSN 1024-123X; ESSN: 1563-5147 https://www.hindawi.com/journals/mpe/2016/2863295/abs/ 10.1155/2016/2863295 |
| spellingShingle | Ahmad, Sufia Zulfa Ismail, Fudziah Senu, Norazak A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations |
| title | A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations |
| title_full | A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations |
| title_fullStr | A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations |
| title_full_unstemmed | A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations |
| title_short | A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations |
| title_sort | four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations |
| url | http://psasir.upm.edu.my/id/eprint/52364/ http://psasir.upm.edu.my/id/eprint/52364/ http://psasir.upm.edu.my/id/eprint/52364/ http://psasir.upm.edu.my/id/eprint/52364/1/52364.pdf |