Citation
Ismail, Fudziah and Al-Khassawneh, Raed Ali
(2008)
Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods.
Acta Mathematica Vietnamica, 33 (2).
pp. 95-105.
ISSN 0251-4184
Abstract
In this paper we used three embedded diagonally implicit Runge-Kutta methods to solve a standard set of delay differential equations. Some of the methods share the FSAL (first stage as last) property and the same stage
order. The Q-stability polynomials of the methods are obtained and their stability regions presented. Numerical results are tabulated and compared,from which we can conclude that the method with the highest order and the
higher stage order is the most efficient.
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Additional Metadata
| Item Type: |
Article
|
| Subject: |
Runge-Kutta formulas |
| Subject: |
Differential equations |
| Divisions: |
Faculty of Science |
| Publisher: |
Vietnamese Academy of Science and Technology |
| Keywords: |
Runge-Kutta method; Delay differential equations; Stage order |
| Depositing User: |
Najwani Amir Sariffudin
|
| Date Deposited: |
18 Feb 2013 04:26 |
| Last Modified: |
01 Oct 2015 03:29 |
| URI: |
http://psasir.upm.edu.my/id/eprint/16773 |
| Statistic Details: |
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