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: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2011
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| Subjects: | |
| Online Access: | http://repo.uum.edu.my/4813/1/TEH_Y.pdf http://repo.uum.edu.my/4813/ |
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| Summary: | 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. |
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