Simple Search:

Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems


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 / Synopsis

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

[img] PDF
30209.pdf
Restricted to Repository staff only

Download (2MB)

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 View Item