Citation
Senu, Norazak and Ahmad, Nur Amirah and Bachok @ Lati, Norfifah
(2016)
Fifth order two derivative Runge-Kutta method with reduced function evaluations for solving IVPs.
International Journal of Mathematical and Computational Methods, 1.
pp. 421-428.
ISSN 2367-895X
Abstract
In this paper, the First Same As Last (FSAL) technique is implemented to Two Derivative Runge-Kutta method (TDRK) for the numerical integration of first order Initial Value Problems (IVPs). Using the FSAL property, a four stages fifth algebraic order TDRK method is constructed. Hence, the new method has three effective stages meaning that it has three function evaluations per step. It has two stages less compared with the classical Runge-Kutta for the same order. The stability of the method derived is analyzed. The numerical experiments are carried out to show the accuracy and efficiency of the method by comparing the derived method with other existing Runge-Kutta methods (RK).
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Official URL or Download Paper: http://www.iaras.org/iaras/journals/caijmcm/fifth-...
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | International Association of Research and Science |
| Keywords: | TDRK method; FSAL technique; IVPs; Explicit methods |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 02 May 2017 08:06 |
| Last Modified: | 02 May 2017 08:06 |
| URI: | http://psasir.upm.edu.my/id/eprint/51872 |
| Statistic Details: | View Download Statistic |
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