Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems
In this paper, a new semi-implicit two-step hybrid method with fifth algebraic order is derived for the integration of second-order oscillatory initial value problems. The new method possesses dispersion of order eight and dissipation of order infinity. Numerical experiment reveals the superiority o...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hill Publishing Group
2015
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/46917/ http://psasir.upm.edu.my/id/eprint/46917/1/Zero-dissipative%20semi-implicit%20hybrid%20method%20for%20solving%20oscillatory%20or%20periodic%20problems.pdf |
| _version_ | 1848850762534223872 |
|---|---|
| author | Jikantoro, Y. D. Ismail, Fudziah Senu, Norazak |
| author_facet | Jikantoro, Y. D. Ismail, Fudziah Senu, Norazak |
| author_sort | Jikantoro, Y. D. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, a new semi-implicit two-step hybrid method with fifth algebraic order is derived for the integration of second-order oscillatory initial value problems. The new method possesses dispersion of order eight and dissipation of order infinity. Numerical experiment reveals the superiority of the new method for solving oscillatory or periodic problems over several methods of the same algebraic order in the literature. |
| first_indexed | 2025-11-15T10:11:27Z |
| format | Article |
| id | upm-46917 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:11:27Z |
| publishDate | 2015 |
| publisher | Hill Publishing Group |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-469172022-07-07T05:08:01Z http://psasir.upm.edu.my/id/eprint/46917/ Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems Jikantoro, Y. D. Ismail, Fudziah Senu, Norazak In this paper, a new semi-implicit two-step hybrid method with fifth algebraic order is derived for the integration of second-order oscillatory initial value problems. The new method possesses dispersion of order eight and dissipation of order infinity. Numerical experiment reveals the superiority of the new method for solving oscillatory or periodic problems over several methods of the same algebraic order in the literature. Hill Publishing Group 2015-02 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/46917/1/Zero-dissipative%20semi-implicit%20hybrid%20method%20for%20solving%20oscillatory%20or%20periodic%20problems.pdf Jikantoro, Y. D. and Ismail, Fudziah and Senu, Norazak (2015) Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems. Journal of Applied Mathematics and Computation, 252. pp. 388-396. ISSN 2576-0645; ESSN: 2576-0653 https://www.sciencedirect.com/science/article/pii/S0096300314016749 10.1016/j.amc.2014.12.020 |
| spellingShingle | Jikantoro, Y. D. Ismail, Fudziah Senu, Norazak Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems |
| title | Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems |
| title_full | Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems |
| title_fullStr | Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems |
| title_full_unstemmed | Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems |
| title_short | Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems |
| title_sort | zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems |
| url | http://psasir.upm.edu.my/id/eprint/46917/ http://psasir.upm.edu.my/id/eprint/46917/ http://psasir.upm.edu.my/id/eprint/46917/ http://psasir.upm.edu.my/id/eprint/46917/1/Zero-dissipative%20semi-implicit%20hybrid%20method%20for%20solving%20oscillatory%20or%20periodic%20problems.pdf |