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An A-stable explicit rational block method for the numerical solution of initial value problem


Teh, Yuan Ying and Omar, Zurni and Mansor, Kamarun Hizam (2014) An A-stable explicit rational block method for the numerical solution of initial value problem. In: International Conference on the Analysis and Mathematical Applications in Engineering and Science, 19th - 22nd January 2014, Curtin University Sarawak, Miri, Malaysia. (Unpublished)

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Abstract

In this paper,a 2-point explicit rational block method for the numerical solution of first order initial value problem is proposed.The main reason to consider rational block method is to improve the numerical accuracy and absolute stability property of esisting block multistep methods that are based 011 polynomial approximants. The proposed method is found to possess A-stability.Local truncation error is included as well.Numerical experimentations and results using some test problems are presented.Numerical results are satisfying in terms of numerical accuracy.Finally,a conclusion is included.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: rational approxitnant; 2-point esplicit rational block method; A-stable; initial value problem
Subjects: Q Science > QA Mathematics
Divisions: School of Quantitative Sciences
Depositing User: Dr. Yuan Ying Teh
Date Deposited: 13 Nov 2014 00:55
Last Modified: 26 May 2016 01:38
URI: http://repo.uum.edu.my/id/eprint/12696

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