Citation
Ahmad, Sufia Zulfa and Ismail, Fudziah and Senu, Norazak and Suleiman, Mohamed
(2013)
Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems.
Abstract and Applied Analysis, 2013.
art. no. 136961.
pp. 1-10.
ISSN 1085-3375; ESSN: 1687-0409
Abstract
We constructed three two-step semi-implicit hybrid methods (SIHMs) for solving oscillatory second order ordinary differential equations (ODEs). The first two methods are three-stage fourth-order and three-stage fifth-order with dispersion order six and zero dissipation. The third is a four-stage fifth-order method with dispersion order eight and dissipation order five. Numerical results show that SIHMs are more accurate as compared to the existing hybrid methods, Runge-Kutta Nyström (RKN) and Runge-Kutta (RK) methods of the same order and Diagonally Implicit Runge-Kutta Nyström (DIRKN) method of the same stage. The intervals of absolute stability or periodicity of SIHM for ODE are also presented.
Download File
Official URL or Download Paper: https://www.hindawi.com/journals/aaa/2013/136961/a...
|
![[img]](http://psasir.upm.edu.my/style/images/fileicons/application_pdf.png)
Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2013/136961 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Dispersion; Semi-implicit; Oscillatory problems; Ordinary differential equations |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 26 Aug 2014 07:34 |
| Last Modified: | 19 Oct 2017 05:53 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/136961 |
| URI: | http://psasir.upm.edu.my/id/eprint/30209 |
| Statistic Details: | View Download Statistic |
Actions (login required)
 |
View Item |