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

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...

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Main Authors: Ismail, Fudziah, Al-Khasawneh, Raed Ali, Suleiman, Mohamed
Format: Article
Published: 2003
Online Access:http://psasir.upm.edu.my/id/eprint/115280/
https://www.tandfonline.com/doi/abs/10.1080/0020716031000079527
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spelling my.upm.eprints.1152802025-02-27T07:20:43Z http://psasir.upm.edu.my/id/eprint/115280/ Comparison of interpolations used in solving delay differential equations by runge-kutta method Ismail, Fudziah Al-Khasawneh, Raed Ali Suleiman, Mohamed 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. 2003 Article PeerReviewed 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 https://www.tandfonline.com/doi/abs/10.1080/0020716031000079527 10.1080/0020716031000079527
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description 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.
format Article
author Ismail, Fudziah
Al-Khasawneh, Raed Ali
Suleiman, Mohamed
spellingShingle Ismail, Fudziah
Al-Khasawneh, Raed Ali
Suleiman, Mohamed
Comparison of interpolations used in solving delay differential equations by runge-kutta method
author_facet Ismail, Fudziah
Al-Khasawneh, Raed Ali
Suleiman, Mohamed
author_sort Ismail, Fudziah
title Comparison of interpolations used in solving delay differential equations by runge-kutta method
title_short Comparison of interpolations used in solving delay differential equations by runge-kutta method
title_full Comparison of interpolations used in solving delay differential equations by runge-kutta method
title_fullStr Comparison of interpolations used in solving delay differential equations by runge-kutta method
title_full_unstemmed Comparison of interpolations used in solving delay differential equations by runge-kutta method
title_sort comparison of interpolations used in solving delay differential equations by runge-kutta method
publishDate 2003
url http://psasir.upm.edu.my/id/eprint/115280/
https://www.tandfonline.com/doi/abs/10.1080/0020716031000079527
_version_ 1825810725735497728
score 13.244413

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