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Comparison of interpolations used in solving delay differential equations by runge-kutta method


Citation

Ismail, Fudziah and Al-Khasawneh, Raed Ali and Suleiman, Mohamed (2003) Comparison of interpolations used in solving delay differential equations by runge-kutta method. International Journal of Computer Mathematics, 80 (7). pp. 921-930. ISSN 1029-0265; eISSN: 0020-7160

Abstract

Delay differential equations are solved using embedded Singly Diagonally Implicit Runge-Kutta (SDIRK) method (3,4) in (4,5). The approximation of the delay term is obtained by Newton divided difference interpolation and interpolation developed by In't Hout. Numerical results based on these two types of interpolation are compared. The stability polynomial and the stability regions of SDIRK method (2,2) using In't Hout interpolation for the delay term are presented.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1080/0020716031000079527
Keywords: Delay differential equations; Interpolations; Singly Diagonally Implicit Runge-Kutta method and delay term
Depositing User: Mohamad Jefri Mohamed Fauzi
Date Deposited: 27 Feb 2025 07:20
Last Modified: 27 Feb 2025 07:20
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1080/0020716031000079527
URI: http://psasir.upm.edu.my/id/eprint/115280
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