Citation
Senu, Norazak and Ahmad, Nur Amirah and Ismail, Fudziah and Bachok @ Lati, Norfifah
(2017)
Embedded 5(4) pair trigonometrically-fitted Two Derivative Runge- Kutta method with FSAL property for numerical solution of oscillatory problems.
WSEAS Transactions on Computer Research, 5.
27 - 34.
ISSN 1991-8755
Abstract
Based on First Same As Last (FSAL) technique, an embedded trigonometrically-fitted Two Derivative Runge-Kutta method (TDRK) for the numerical solution of first order Initial Value Problems (IVPs) is developed. Using the trigonometrically-fitting technique, an embedded 5(4) pair explicit fifth-order TDRK method with a “small” principal local truncation error coefficient is derived. The numerical experiments are carried out and showed that our new method is more accurate and efficient when compared with other existing Runge-Kutta (RK) and TDRK methods of the same order.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | World Scientific and Engineering Academy and Society (W S E A S) |
| Keywords: | Explicit methods; Embedded methods; First Same As Last technique; Initial Value Problems; TDRK methods; Variable step-size |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 08 Jan 2019 01:52 |
| Last Modified: | 08 Jan 2019 01:52 |
| URI: | http://psasir.upm.edu.my/id/eprint/61704 |
| Statistic Details: | View Download Statistic |
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