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New 4(3) pair two derivative Runge-Kutta method with FSAL property for solving first order initial value problems

Ahmad, Nur Amirah and Senu, Norazak (2016) New 4(3) pair two derivative Runge-Kutta method with FSAL property for solving first order initial value problems. In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. pp. 1-8.

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Abstract

A new embedded Two Derivative Runge-Kutta method (TDRK) based on First Same As Last (FSAL) technique for the numerical solution of first order Initial Value Problems (IVPs) is derived. We present an embedded 4(3) pair explicit fourth order TDRK method with a ‘small’ principal local truncation error coefficient. The stability of the new method is analyzed. The numerical experiments are carried out to show the efficiency of our method in comparison with other existing embedded Runge-Kutta methods (RK) of the same order.

Item Type:Conference or Workshop Item (Paper)
Keyword:FSAL technique; IVPs; TDRK methods
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:AIP Publishing
DOI Number:10.1063/1.4995885
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4995885
ID Code:57325
Deposited By: Nabilah Mustapa
Deposited On:26 Sep 2017 12:04
Last Modified:26 Sep 2017 12:04

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