Teh, Yuan Ying and Yaacob, Nazeeruddin (2013) Numerical solution of first order initial value problem using 7-stage tenth order Gauss-Kronrod-Lobatto IIIA method. In: 20th National Symposium on Mathematical Sciences, 18–20 December 2012, Palm Garden Hotel, Putrajaya, Malaysia. (Unpublished)
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Abstract
In this paper, a new implicit Runge-Kutta method which based on a 7-point Gauss-Kronrod-Lobatto quadrature formula is developed.The resulting implicit method is a 7-stage tenth order Gauss-Kronrod-Lobatto IIIA method, or in brief as GKLM(7,10)-IIIA. GKLM(7,10)-IIIA requires seven function of evaluations at each integration step and it gives accuracy of order ten.In addition, GKLM(7,10)-IIIA has stage order seven and being A-stable. Numerical experiments compare the accuracy between GKLM(7,10)-IIIA and the classical 5-stage tenth order Gauss-Legendre method in solving some test problems. Numerical results reveal that GKLM(7,10)-IIIA is more accurate than the 5-stage tenth order Gauss-Legendre method because GKLM(7,10)-IIIA has higher stage order
Item Type: | Conference or Workshop Item (Paper) |
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Additional Information: | AIP Conf. Proc. 1522, 183 (2013), published by American Institute of Physics |
Uncontrolled Keywords: | Initial value problem,Gouss-Kronrod-lobatto quadrature formula, Gauss-Kronrod-Lobatto IIIA method |
Subjects: | Q Science > QA Mathematics |
Divisions: | College of Arts and Sciences |
Depositing User: | Dr. Yuan Ying Teh |
Date Deposited: | 13 Nov 2014 01:04 |
Last Modified: | 13 Nov 2014 01:04 |
URI: | https://repo.uum.edu.my/id/eprint/12687 |
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