Citation
Salama, Tahani Mohamed and Senu, Norazak and Ibrahim, Zarina Bibi and Nik Long, Nik Mohd Asri
(2018)
Exponentially-fitted and trigonometrically-fitted two derivative Runge-Kutta-Nystrom methods for solving y''(x) = f(x, y, y' ).
Mathematical Problems in Engineering, 2018.
art. no. 7689854.
pp. 1-19.
ISSN 1024-123X; ESSN: 1563-5147
Abstract
Two exponentially fitted and trigonometrically fitted explicit two-derivative Runge-Kutta-Nyström (TDRKN) methods are being constructed. Exponentially fitted and trigonometrically fitted TDRKN methods have the favorable feature that they integrate exactly second-order systems whose solutions are linear combinations of functions {exp(wx),exp(-wx)} and {sin(wx),cos(wx)} respectively, when w∈R , the frequency of the problem. The results of numerical experiments showed that the new approaches are more efficient than existing methods in the literature.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2018/7689854 |
| Publisher: | Hindawi |
| Keywords: | Exponentially fitted; Trigonometrically fitted; Runge-Kutta-Nystrom method |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 30 Nov 2020 09:09 |
| Last Modified: | 30 Nov 2020 09:09 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2018/7689854 |
| URI: | http://psasir.upm.edu.my/id/eprint/72682 |
| Statistic Details: | View Download Statistic |
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