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

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

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Official URL: http://www.ikpress.org/abstract/5623

Abstract

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.

Item Type:Article
Keyword:Diagonally implicit Runge-Kutta method; ODEs; Oscillatory IVPs; Phase fitted; Amplification fitted
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:International Knowledge Press
ID Code:56232
Deposited By: Nabilah Mustapa
Deposited On:04 Jul 2017 10:48
Last Modified:04 Jul 2017 10:48

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