A third order Nakashima type implicit Pseudo Runge-Kutta method for delay differential equations

A third order Nakashima type implicit Pseudo Runge-Kutta method is presented. The free parameter was determined by minimizing the error bound. The stability region of the method was presented. Some problems on delay differential equations are tested to compare the accuracy of the proposed method wit...

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Main Author: Lim, Tian Hwee
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2014
Online Access:http://journalarticle.ukm.my/7524/
http://journalarticle.ukm.my/7524/1/18_Lim_Tian.pdf
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author Lim, Tian Hwee
author_facet Lim, Tian Hwee
author_sort Lim, Tian Hwee
building UKM Institutional Repository
collection Online Access
description A third order Nakashima type implicit Pseudo Runge-Kutta method is presented. The free parameter was determined by minimizing the error bound. The stability region of the method was presented. Some problems on delay differential equations are tested to compare the accuracy of the proposed method with third order RADAU I.
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spelling oai:generic.eprints.org:75242016-12-14T06:44:22Z http://journalarticle.ukm.my/7524/ A third order Nakashima type implicit Pseudo Runge-Kutta method for delay differential equations Lim, Tian Hwee A third order Nakashima type implicit Pseudo Runge-Kutta method is presented. The free parameter was determined by minimizing the error bound. The stability region of the method was presented. Some problems on delay differential equations are tested to compare the accuracy of the proposed method with third order RADAU I. Universiti Kebangsaan Malaysia 2014-08 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/7524/1/18_Lim_Tian.pdf Lim, Tian Hwee (2014) A third order Nakashima type implicit Pseudo Runge-Kutta method for delay differential equations. Sains Malaysiana, 43 (8). pp. 1259-1262. ISSN 0126-6039 http://www.ukm.my/jsm
spellingShingle Lim, Tian Hwee
A third order Nakashima type implicit Pseudo Runge-Kutta method for delay differential equations
title A third order Nakashima type implicit Pseudo Runge-Kutta method for delay differential equations
title_full A third order Nakashima type implicit Pseudo Runge-Kutta method for delay differential equations
title_fullStr A third order Nakashima type implicit Pseudo Runge-Kutta method for delay differential equations
title_full_unstemmed A third order Nakashima type implicit Pseudo Runge-Kutta method for delay differential equations
title_short A third order Nakashima type implicit Pseudo Runge-Kutta method for delay differential equations
title_sort third order nakashima type implicit pseudo runge-kutta method for delay differential equations
url http://journalarticle.ukm.my/7524/
http://journalarticle.ukm.my/7524/
http://journalarticle.ukm.my/7524/1/18_Lim_Tian.pdf