Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems
In this paper, two-step fourth order semi implicit hybrid method (SIHM) with dispersion of order six and zero dissipation is constructed for solving second order ordinary differential equations (ODEs). Numerical results show that SIHM is more accurate as compared to the existing hybrid method, Runge...
| Asıl Yazarlar: | , , |
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| Materyal Türü: | Conference or Workshop Item |
| Dil: | English |
| Baskı/Yayın Bilgisi: |
AIP Publishing LLC
2012
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| Online Erişim: | http://psasir.upm.edu.my/id/eprint/57411/1/Semi%20implicit%20hybrid%20methods%20with%20higher%20order%20dispersion%20for%20solving%20oscillatory%20problems.pdf |
| _version_ | 1825931607169564672 |
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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, two-step fourth order semi implicit hybrid method (SIHM) with dispersion of order six and zero dissipation is constructed for solving second order ordinary differential equations (ODEs). Numerical results show that SIHM is more accurate as compared to the existing hybrid method, Runge-Kutta Nyström (RKN) method, Runge-Kutta (RK) method and Diagonally Implicit Runge-Kutta Nyström (DIRKN) method of the same order. The interval of absolute stability of SIHM for ODE is presented. The comparison of time for solving the test problems for the various methods is also given. |
| first_indexed | 2024-03-06T09:29:18Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57411 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:29:18Z |
| publishDate | 2012 |
| publisher | AIP Publishing LLC |
| record_format | dspace |
| spelling | upm.eprints-574112017-09-27T09:21:48Z http://psasir.upm.edu.my/id/eprint/57411/ Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems Ahmad, Sufia Zulfa Ismail, Fudziah Senu, Norazak In this paper, two-step fourth order semi implicit hybrid method (SIHM) with dispersion of order six and zero dissipation is constructed for solving second order ordinary differential equations (ODEs). Numerical results show that SIHM is more accurate as compared to the existing hybrid method, Runge-Kutta Nyström (RKN) method, Runge-Kutta (RK) method and Diagonally Implicit Runge-Kutta Nyström (DIRKN) method of the same order. The interval of absolute stability of SIHM for ODE is presented. The comparison of time for solving the test problems for the various methods is also given. AIP Publishing LLC 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57411/1/Semi%20implicit%20hybrid%20methods%20with%20higher%20order%20dispersion%20for%20solving%20oscillatory%20problems.pdf Ahmad, Sufia Zulfa and Ismail, Fudziah and Senu, Norazak (2012) Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 553-560). 10.1063/1.4801174 |
| spellingShingle | Ahmad, Sufia Zulfa Ismail, Fudziah Senu, Norazak Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems |
| title | Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems |
| title_full | Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems |
| title_fullStr | Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems |
| title_full_unstemmed | Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems |
| title_short | Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems |
| title_sort | semi implicit hybrid methods with higher order dispersion for solving oscillatory problems |
| url | http://psasir.upm.edu.my/id/eprint/57411/1/Semi%20implicit%20hybrid%20methods%20with%20higher%20order%20dispersion%20for%20solving%20oscillatory%20problems.pdf |
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