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


Citation

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).

Abstract / Synopsis

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.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1063/1.4801174
Publisher: AIP Publishing LLC
Keywords: Dispersion; Semi implicit hybrid method; Stability; Two-step methods
Depositing User: Nabilah Mustapa
Date Deposited: 27 Sep 2017 17:21
Last Modified: 27 Sep 2017 17:21
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4801174
URI: http://psasir.upm.edu.my/id/eprint/57411
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