A two-step trigonometrically fitted semi-implicit hybrid method for solving special second order oscillatory differential equation
In this paper, we derived a semi-implicit hybrid method (SIHM) which is a two-step method to solve special second order ordinary differential equations (ODEs). The SIHM which is three-stage and fourth-order is then trigonometrically fitted and denoted by TF-SIHM3(4). The method is constructed using...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/52363/1/10.%20Sufia.pdf |
| _version_ | 1796975735141826560 |
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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 |
| collection | UPM |
| description | In this paper, we derived a semi-implicit hybrid method (SIHM) which is a two-step method to solve special second order ordinary differential equations (ODEs). The SIHM which is three-stage and fourth-order is then trigonometrically fitted and denoted by TF-SIHM3(4). The method is constructed using trigonometrically fitted properties instead of using phase-lag and amplification properties. Numerical integration show that TF-SIHM3(4) is more accurate in term of accuracy compared to the existing explicit and implicit methods of the same order. |
| first_indexed | 2024-03-06T09:15:41Z |
| format | Article |
| id | upm.eprints-52363 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:15:41Z |
| publishDate | 2016 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| record_format | dspace |
| spelling | upm.eprints-523632017-06-05T09:35:10Z http://psasir.upm.edu.my/id/eprint/52363/ A two-step trigonometrically fitted semi-implicit hybrid method for solving special second order oscillatory differential equation Ahmad, Sufia Zulfa Ismail, Fudziah Senu, Norazak In this paper, we derived a semi-implicit hybrid method (SIHM) which is a two-step method to solve special second order ordinary differential equations (ODEs). The SIHM which is three-stage and fourth-order is then trigonometrically fitted and denoted by TF-SIHM3(4). The method is constructed using trigonometrically fitted properties instead of using phase-lag and amplification properties. Numerical integration show that TF-SIHM3(4) is more accurate in term of accuracy compared to the existing explicit and implicit methods of the same order. Institute for Mathematical Research, Universiti Putra Malaysia 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52363/1/10.%20Sufia.pdf Ahmad, Sufia Zulfa and Ismail, Fudziah and Senu, Norazak (2016) A two-step trigonometrically fitted semi-implicit hybrid method for solving special second order oscillatory differential equation. Malaysian Journal of Mathematical Sciences, 10 (spec. Aug.). pp. 145-158. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol10saugust/10.%20Sufia.pdf |
| spellingShingle | Ahmad, Sufia Zulfa Ismail, Fudziah Senu, Norazak A two-step trigonometrically fitted semi-implicit hybrid method for solving special second order oscillatory differential equation |
| title | A two-step trigonometrically fitted semi-implicit hybrid method for solving special second order oscillatory differential equation |
| title_full | A two-step trigonometrically fitted semi-implicit hybrid method for solving special second order oscillatory differential equation |
| title_fullStr | A two-step trigonometrically fitted semi-implicit hybrid method for solving special second order oscillatory differential equation |
| title_full_unstemmed | A two-step trigonometrically fitted semi-implicit hybrid method for solving special second order oscillatory differential equation |
| title_short | A two-step trigonometrically fitted semi-implicit hybrid method for solving special second order oscillatory differential equation |
| title_sort | two step trigonometrically fitted semi implicit hybrid method for solving special second order oscillatory differential equation |
| url | http://psasir.upm.edu.my/id/eprint/52363/1/10.%20Sufia.pdf |
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