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Numerical solution of first order initial value problem using 4-stage sixth order Gauss-Kronrod-Radau 1 method

In this paper, we consider a new implicit Runge-Kutta method which based on 4-point Gauss-Kronrod-Radau I quadrature formula, or in brief as GKRM(4,6)-I. The resulting implicit method is a 4-stage sixth order Gauss Kronrod-Radau I method.In addition, GKRM(4,6)-I has stage order 4. Numerical results...

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Main Authors: Teh, Yuan Ying, Yaacob, Nazeeruddin
Format: Conference or Workshop Item
Language:English
Published: 2011
Subjects:
QA Mathematics
Online Access:http://repo.uum.edu.my/4813/1/TEH_Y.pdf
http://repo.uum.edu.my/4813/
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spelling my.uum.repo.48132012-02-25T05:59:09Z http://repo.uum.edu.my/4813/ Numerical solution of first order initial value problem using 4-stage sixth order Gauss-Kronrod-Radau 1 method Teh, Yuan Ying Yaacob, Nazeeruddin QA Mathematics In this paper, we consider a new implicit Runge-Kutta method which based on 4-point Gauss-Kronrod-Radau I quadrature formula, or in brief as GKRM(4,6)-I. The resulting implicit method is a 4-stage sixth order Gauss Kronrod-Radau I method.In addition, GKRM(4,6)-I has stage order 4. Numerical results compare the accuracy between GKRM(4,6)-I and the classical 3-stage sixth order Gauss-Legendre method in solving some test problems.Numerical results reveal that GKRM(4,6)-I is more accurate than the 3-stage sixth order Gauss-Legendre method because GKRM(4,6)-I has higher stage order. 2011-11-01 Conference or Workshop Item NonPeerReviewed application/pdf en http://repo.uum.edu.my/4813/1/TEH_Y.pdf Teh, Yuan Ying and Yaacob, Nazeeruddin (2011) Numerical solution of first order initial value problem using 4-stage sixth order Gauss-Kronrod-Radau 1 method. In: International Seminar on the Application of Science & Mathematics , 01-03 November 2011, Kuala Lumpur, Malaysia. (Unpublished)
institution Universiti Utara Malaysia
building UUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Utara Malaysia
content_source UUM Institutionali Repository
url_provider http://repo.uum.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Teh, Yuan Ying
Yaacob, Nazeeruddin
Numerical solution of first order initial value problem using 4-stage sixth order Gauss-Kronrod-Radau 1 method
description In this paper, we consider a new implicit Runge-Kutta method which based on 4-point Gauss-Kronrod-Radau I quadrature formula, or in brief as GKRM(4,6)-I. The resulting implicit method is a 4-stage sixth order Gauss Kronrod-Radau I method.In addition, GKRM(4,6)-I has stage order 4. Numerical results compare the accuracy between GKRM(4,6)-I and the classical 3-stage sixth order Gauss-Legendre method in solving some test problems.Numerical results reveal that GKRM(4,6)-I is more accurate than the 3-stage sixth order Gauss-Legendre method because GKRM(4,6)-I has higher stage order.
format Conference or Workshop Item
author Teh, Yuan Ying
Yaacob, Nazeeruddin
author_facet Teh, Yuan Ying
Yaacob, Nazeeruddin
author_sort Teh, Yuan Ying
title Numerical solution of first order initial value problem using 4-stage sixth order Gauss-Kronrod-Radau 1 method
title_short Numerical solution of first order initial value problem using 4-stage sixth order Gauss-Kronrod-Radau 1 method
title_full Numerical solution of first order initial value problem using 4-stage sixth order Gauss-Kronrod-Radau 1 method
title_fullStr Numerical solution of first order initial value problem using 4-stage sixth order Gauss-Kronrod-Radau 1 method
title_full_unstemmed Numerical solution of first order initial value problem using 4-stage sixth order Gauss-Kronrod-Radau 1 method
title_sort numerical solution of first order initial value problem using 4-stage sixth order gauss-kronrod-radau 1 method
publishDate 2011
url http://repo.uum.edu.my/4813/1/TEH_Y.pdf
http://repo.uum.edu.my/4813/
_version_ 1644278841664864256
score 13.244368

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