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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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 (Unpublished) |
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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 |
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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/ |
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1644278841664864256 |
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13.18916 |