Semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems
In this paper, we derived a semi-implicit hybrid method for solving special second order ordinary differential equations. The method is four-stage fifth-order with phase-lag or dispersion of order eight and dissipation or amplification of order seven. Modifications on the phase-lag and amplification...
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| Format: | Article |
| Language: | English |
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Research India Publications
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/63194/ http://psasir.upm.edu.my/id/eprint/63194/1/Semi%20implicit%20hybrid%20method%20with%20vanishing%20phase-lag%20and%20amplification%20error%20for%20solving%20second%20order%20oscillatory%20problems%20.pdf |
| _version_ | 1848854733965492224 |
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| author | Ahmad, Sufia Zulfa Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi |
| author_facet | Ahmad, Sufia Zulfa Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi |
| author_sort | Ahmad, Sufia Zulfa |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we derived a semi-implicit hybrid method for solving special second order ordinary differential equations. The method is four-stage fifth-order with phase-lag or dispersion of order eight and dissipation or amplification of order seven. Modifications on the phase-lag and amplification error of order zero are infused to the method to improve the efficiency of the method. Hence resulting in a semi-implicit hybrid method with zero phase-lag and amplification error which is suitable for solving highly oscillatory problems over a very large interval. |
| first_indexed | 2025-11-15T11:14:34Z |
| format | Article |
| id | upm-63194 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:14:34Z |
| publishDate | 2017 |
| publisher | Research India Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-631942018-09-24T08:49:13Z http://psasir.upm.edu.my/id/eprint/63194/ Semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems Ahmad, Sufia Zulfa Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi In this paper, we derived a semi-implicit hybrid method for solving special second order ordinary differential equations. The method is four-stage fifth-order with phase-lag or dispersion of order eight and dissipation or amplification of order seven. Modifications on the phase-lag and amplification error of order zero are infused to the method to improve the efficiency of the method. Hence resulting in a semi-implicit hybrid method with zero phase-lag and amplification error which is suitable for solving highly oscillatory problems over a very large interval. Research India Publications 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/63194/1/Semi%20implicit%20hybrid%20method%20with%20vanishing%20phase-lag%20and%20amplification%20error%20for%20solving%20second%20order%20oscillatory%20problems%20.pdf Ahmad, Sufia Zulfa and Ismail, Fudziah and Senu, Norazak and Ibrahim, Zarina Bibi (2017) Semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems. International Journal of Applied Engineering Research, 12 (20). 9666 - 9673. ISSN 0973-4562; ESSN: 1087-1090 http://www.ripublication.com |
| spellingShingle | Ahmad, Sufia Zulfa Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi Semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems |
| title | Semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems |
| title_full | Semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems |
| title_fullStr | Semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems |
| title_full_unstemmed | Semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems |
| title_short | Semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems |
| title_sort | semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems |
| url | http://psasir.upm.edu.my/id/eprint/63194/ http://psasir.upm.edu.my/id/eprint/63194/ http://psasir.upm.edu.my/id/eprint/63194/1/Semi%20implicit%20hybrid%20method%20with%20vanishing%20phase-lag%20and%20amplification%20error%20for%20solving%20second%20order%20oscillatory%20problems%20.pdf |