Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman

Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman

Delay differential equations (DDEs) with single and multiple delays are solved using embedded explicit Runge-Kutta method. The delay terms are approximated by using divided difference interpolation, Hermite interpolation and continuous extensions formula of the Runge-Kutta method itself. Numerica...

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Bibliographic Details
Main Authors: Ismail, Fudziah, Lwin, Aung San, Suleiman, Mohamed
Format: Article
Language:English
Published: Fakulti Teknologi Maklumat dan Sains Kuantitatif 2005
Subjects:
Differential equations. Runge-Kutta formulas
Difference equations. Functional equations. Delay differential equations. Integral equations
Online Access:http://ir.uitm.edu.my/id/eprint/11647/
http://ir.uitm.edu.my/id/eprint/11647/1/AJ_FUDZIAH%20ISMAIL%20JTMSK%2005%201.pdf
id uitm-11647
recordtype eprints
spelling uitm-116472016-09-26T08:16:06Z http://ir.uitm.edu.my/id/eprint/11647/ Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman Ismail, Fudziah Lwin, Aung San Suleiman, Mohamed Differential equations. Runge-Kutta formulas Difference equations. Functional equations. Delay differential equations. Integral equations Delay differential equations (DDEs) with single and multiple delays are solved using embedded explicit Runge-Kutta method. The delay terms are approximated by using divided difference interpolation, Hermite interpolation and continuous extensions formula of the Runge-Kutta method itself. Numerical results based on the different types of interpolation are tabulated and compared. Fakulti Teknologi Maklumat dan Sains Kuantitatif 2005 Article PeerReviewed text en http://ir.uitm.edu.my/id/eprint/11647/1/AJ_FUDZIAH%20ISMAIL%20JTMSK%2005%201.pdf Ismail, Fudziah and Lwin, Aung San and Suleiman, Mohamed (2005) Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman. Jurnal Teknologi Maklumat dan Sains Kuantitatif, 7 (1). pp. 19-28. ISSN 1823-0822
repository_type Digital Repository
institution_category Local University
institution Universiti Teknologi MARA
building UiTM Institutional Repository
collection Online Access
language English
topic Differential equations. Runge-Kutta formulas
Difference equations. Functional equations. Delay differential equations. Integral equations
spellingShingle Differential equations. Runge-Kutta formulas
Difference equations. Functional equations. Delay differential equations. Integral equations
Ismail, Fudziah
Lwin, Aung San
Suleiman, Mohamed
Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman
description Delay differential equations (DDEs) with single and multiple delays are solved using embedded explicit Runge-Kutta method. The delay terms are approximated by using divided difference interpolation, Hermite interpolation and continuous extensions formula of the Runge-Kutta method itself. Numerical results based on the different types of interpolation are tabulated and compared.
format Article
author Ismail, Fudziah
Lwin, Aung San
Suleiman, Mohamed
author_facet Ismail, Fudziah
Lwin, Aung San
Suleiman, Mohamed
author_sort Ismail, Fudziah
title Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman
title_short Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman
title_full Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman
title_fullStr Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman
title_full_unstemmed Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman
title_sort different types of interpolations for solving delay differential equations using explicit runge-kutta method / fudziah ismail, aung san lwin and mohamed suleiman
publisher Fakulti Teknologi Maklumat dan Sains Kuantitatif
publishDate 2005
url http://ir.uitm.edu.my/id/eprint/11647/
http://ir.uitm.edu.my/id/eprint/11647/1/AJ_FUDZIAH%20ISMAIL%20JTMSK%2005%201.pdf
first_indexed 2023-09-18T22:48:21Z
last_indexed 2023-09-18T22:48:21Z
_version_ 1777417376472498176

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