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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Bibliographic Details
Main Author: Lim, Tian Hwee
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2014
Online Access:http://journalarticle.ukm.my/7524/1/18_Lim_Tian.pdf
http://journalarticle.ukm.my/7524/
http://www.ukm.my/jsm
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Summary: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.