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Phase-fitted and amplification-fitted diagonally implicit Runge-Kutta method for the numerical solution of periodic problems


Citation

Ahmad, Nur Amirah and Senu, Norazak and Ismail, Fudziah (2016) Phase-fitted and amplification-fitted diagonally implicit Runge-Kutta method for the numerical solution of periodic problems. Asian Journal of Mathematics and Computer Research, 12 (4). pp. 252-264. ISSN 2395-4205; ESSN: 2395-4213

Abstract / Synopsis

In this study, we construct a new Phase-fitted and Amplication-fitted Diagonally Implicit Runge-Kutta method (PFAFDIRK) for the numerical integration of first order Initial Value Problems (IVPs) which possesses oscillatory solutions. The phase-fitted and amplification-fitted method is based on existing Diagonally Implicit Runge-Kutta method (DIRK) of order four. The numerical results show that the proposed method is more efficient than the existing DIRK methods.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: International Knowledge Press
Keywords: Diagonally implicit Runge-Kutta method; ODEs; Oscillatory IVPs; Phase fitted; Amplification fitted
Depositing User: Nabilah Mustapa
Date Deposited: 04 Jul 2017 10:48
Last Modified: 04 Jul 2017 10:48
URI: http://psasir.upm.edu.my/id/eprint/56232
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