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Block multistep methods based on rational approximants


Teh, Yuan Ying and Omar, Zurni and Mansor, Kamarun Hizam (2014) Block multistep methods based on rational approximants. In: 3rd International Conference on Mathematical Sciences, 17–19 December 2013, Kuala Lumpur, Malaysia.

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Abstract

In this study, the concept of block multistep methods based on rational approximants is introduced for the numerical solution of first order initial value problems. These numerical methods are also called rational block multistep methods.The main reason to consider block multistep methods in rational setting, is to improve the numerical accuracy and absolute stability property of existing block multistep methods that are based on polynomial approximants.For this pilot study, a 2-point explicit rational block multistep method is developed.Local truncation error and stability analysis for this new method are included as well.Numerical experimentations and results using some test problems are presented.Numerical results are satisfying in terms of numerical accuracy. Finally, future issues on the developments of rational block multistep methods are discussed.

Item Type: Conference or Workshop Item (Paper)
Additional Information: ISBN: 978-0-7354-1236-1 Editors: Wan Zawiah Wan Zin , Syahida Che Dzul-Kifli , Fatimah Abdul Razak and Anuar Ishak Volume number: 1602 Published: 19 June 2014
Uncontrolled Keywords: Rational Approximant, 2-point Explicit Rational Block Multistep Method, Initial Value Problems.
Subjects: Q Science > QA Mathematics
Divisions: School of Quantitative Sciences
Depositing User: Dr. Yuan Ying Teh
Date Deposited: 13 Nov 2014 01:07
Last Modified: 26 May 2016 01:41
URI: http://repo.uum.edu.my/id/eprint/12694

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