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


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 (Unpublished)

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Abstract

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.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Organized by Universiti Tun Hussein Onn Malaysia
Uncontrolled Keywords: Initial value problem; Gauss-Kronrod-Radau I quadrature formula; Gauss-Kronrod-Radau I method.
Subjects: Q Science > QA Mathematics
Divisions: College of Arts and Sciences
Depositing User: Mrs. Norazmilah Yaakub
Date Deposited: 25 Feb 2012 05:59
Last Modified: 25 Feb 2012 05:59
URI: http://repo.uum.edu.my/id/eprint/4813

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