Citation
Senu, Norazak and Ahmad, Nur Amirah and Ibrahim, Zarina Bibi and Othman, Mohamed
(2021)
Numerical study on phase-fitted and amplification-fitted diagonally implicit two derivative Runge-Kutta method for periodic IVPs.
Sains Malaysiana, 50 (6).
1799 - 1814.
ISSN 0126-6039; ESSN: 2735-0118
Abstract
A fourth-order two stage Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method (PFAFDITDRK) for the numerical integration of first-order Initial Value Problems (IVPs) which exhibits periodic solutions are constructed. The Phase-Fitted and Amplification-Fitted property are discussed thoroughly in this paper. The stability of the method proposed are also given herewith. Runge-Kutta (RK) methods of the similar property are chosen in the literature for the purpose of comparison by carrying out numerical experiments to justify the accuracy and the effectiveness of the derived method.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Computer Science and Information Technology Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.17576/jsm-2021-5006-25 |
| Publisher: | Penerbit Universiti Kebangsaan Malaysia |
| Keywords: | Diagonally implicit methods; Initial values problems; Ordinary differential equations; Phase-fitted and amplification-fitted; Stability region; Two derivative Runge-Kutta method |
| Depositing User: | Ms. Nur Faseha Mohd Kadim |
| Date Deposited: | 05 Apr 2023 02:16 |
| Last Modified: | 05 Apr 2023 02:16 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.17576/jsm-2021-5006-25 |
| URI: | http://psasir.upm.edu.my/id/eprint/94396 |
| Statistic Details: | View Download Statistic |
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