Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method

Citation

Suleiman, Mohamed and Ismail, Fudziah (2001) Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method. Applied Mathematics and Computation, 122 (3). pp. 301-323. ISSN 0096-3003; eISSN: 0096-3003

Abstract

Embedded singly diagonally implicit Runge-Kutta (SDIRK) method is used to solve stiff systems of delay differential equations (DDEs). The delay argument is approximated using Hermite interpolation. Initially the whole system is considered as nonstiff and solved using simple iteration. When stiffness is indicated, the appropriate equation is placed into the stiff subsystem and solved using Newton iteration. This type of partitioning is called componentwise partitioning. The process is continued until all the equations have been placed in the right subsystem. Numerical results based on componentwise partitioning and intervalwise partitioning are tabulated and compared. © 2001 Elsevier Science Inc.

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Additional Metadata

Item Type:	Article
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1016/s0096-3003(00)00039-4
Keywords:	Componentwise partitioning; Singly diagonally implicit Runge-Kutta method; Stiff delay differential equations
Depositing User:	Ms. Azian Edawati Zakaria
Date Deposited:	10 Dec 2024 01:42
Last Modified:	10 Dec 2024 01:42
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/s0096-3003(00)00039-4
URI:	http://psasir.upm.edu.my/id/eprint/114090
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