Citation
Ahmed Demba, Musa and Senu, Norazak and Ramos, Higinio and Watthayu, Wiboonsak
(2022)
Development of an efficient diagonally implicit Runge–Kutta–Nyström 5(4) pair for special second order IVPs.
Axioms, 11 (10).
art. no. 565.
pp. 1-14.
ISSN 2075-1680
Abstract
In this work, a new pair of diagonally implicit Runge–Kutta–Nyström methods with four stages is constructed. The proposed method has been derived to solve initial value problems of special second-order ordinary-differential equations. The principal local truncation error of the new method is obtained, and the main characteristics of the new method are analyzed. Some numerical experiments are performed, which demonstrate the robustness and efficiency of the new embedded pair.
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Official URL or Download Paper: https://www.mdpi.com/2075-1680/11/10/565
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.3390/axioms11100565 |
| Publisher: | MDPI |
| Keywords: | Diagonally implicit methods; Embedded pairs; Runge–Kutta–Nyström; Oscillatory problems; Initial value problems |
| Depositing User: | Ms. Nur Faseha Mohd Kadim |
| Date Deposited: | 09 Oct 2023 18:38 |
| Last Modified: | 09 Oct 2023 18:40 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/axioms11100565 |
| URI: | http://psasir.upm.edu.my/id/eprint/100598 |
| Statistic Details: | View Download Statistic |
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