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...
Saved in:
| Main Authors: | , , |
|---|---|
| 格式: | Article |
| 語言: | English |
| 出版: |
Hill Publishing Group
2015
|
| 在線閱讀: | http://psasir.upm.edu.my/id/eprint/46917/1/Zero-dissipative%20semi-implicit%20hybrid%20method%20for%20solving%20oscillatory%20or%20periodic%20problems.pdf http://psasir.upm.edu.my/id/eprint/46917/ https://www.sciencedirect.com/science/article/pii/S0096300314016749 |
| 標簽: |
添加標簽
沒有標簽, 成為第一個標記此記錄!
|
| id |
my.upm.eprints.46917 |
|---|---|
| record_format |
eprints |
| spelling |
my.upm.eprints.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 |
| institution |
Universiti Putra Malaysia |
| building |
UPM Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Putra Malaysia |
| content_source |
UPM Institutional Repository |
| url_provider |
http://psasir.upm.edu.my/ |
| language |
English |
| 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. |
| format |
Article |
| author |
Jikantoro, Y. D. Ismail, Fudziah Senu, Norazak |
| spellingShingle |
Jikantoro, Y. D. Ismail, Fudziah Senu, Norazak Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems |
| author_facet |
Jikantoro, Y. D. Ismail, Fudziah Senu, Norazak |
| author_sort |
Jikantoro, Y. D. |
| title |
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_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_sort |
zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems |
| publisher |
Hill Publishing Group |
| publishDate |
2015 |
| url |
http://psasir.upm.edu.my/id/eprint/46917/1/Zero-dissipative%20semi-implicit%20hybrid%20method%20for%20solving%20oscillatory%20or%20periodic%20problems.pdf http://psasir.upm.edu.my/id/eprint/46917/ https://www.sciencedirect.com/science/article/pii/S0096300314016749 |
| _version_ |
1738511946846568448 |
| score |
13.251813 |