Solving delay differential equations using intervalwise partitioning by Runge–Kutta method

Citation

Ismail, Fudziah and Suleiman, Mohammed (2001) Solving delay differential equations using intervalwise partitioning by Runge–Kutta method. Applied Mathematics and Computation, 121 (1). pp. 37-53. ISSN 0096-3003; eISSN: 0096-3003

Abstract

Embedded singly diagonally implicit Runge-Kutta method is used to solve stiff systems of delay differential equations. The delay argument is approximated using Newton divided difference interpolation. Initially the whole system is considered as nonstiff and solved using simple iteration, in the event that stiffness is indicated, the whole system is considered as stiff and solved using Newton iteration. Numerical results based on one technique to detect stiffness is tabulated and compared with the numerical results when the system is considered as stiff from the beginning. © 2001 Elsevier Science Inc.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.1016/s0096-3003(99)00261-1
Publisher:	Elsevier
Keywords:	Delay differential equations; Interpolation; Intervalwise partitioning; Singly diagonally implicit Runge-Kutta method; Stiff
Depositing User:	Ms. Azian Edawati Zakaria
Date Deposited:	10 Dec 2024 01:49
Last Modified:	10 Dec 2024 01:49
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/s0096-3003(99)00261-1
URI:	http://psasir.upm.edu.my/id/eprint/114129
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