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
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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Official URL or Download Paper: http://www.ikpress.org/abstract/5623
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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 02:48 |
| Last Modified: | 04 Jul 2017 02:48 |
| URI: | http://psasir.upm.edu.my/id/eprint/56232 |
| Statistic Details: | View Download Statistic |
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