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...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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2011
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| Online Access: | https://repo.uum.edu.my/id/eprint/4813/1/TEH_Y.pdf |
| _version_ | 1825740380350447616 |
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| author | Teh, Yuan Ying Yaacob, Nazeeruddin |
| author_facet | Teh, Yuan Ying Yaacob, Nazeeruddin |
| author_sort | Teh, Yuan Ying |
| collection | UUM |
| 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. |
| first_indexed | 2024-07-04T05:26:02Z |
| format | Conference or Workshop Item |
| id | uum-4813 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T05:26:02Z |
| publishDate | 2011 |
| record_format | eprints |
| spelling | uum-48132012-02-25T05:59:09Z https://repo.uum.edu.my/id/eprint/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 https://repo.uum.edu.my/id/eprint/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) |
| 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 |
| title | 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_short | 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 |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/4813/1/TEH_Y.pdf |
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