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

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 ba...

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Main Authors: Teh, Yuan Ying, Omar, Zurni, Mansor, Kamarun Hizam
Format: Conference or Workshop Item
Language:English
Published: 2014
Subjects:
QA Mathematics
Online Access:http://repo.uum.edu.my/12696/1/An.pdf
http://repo.uum.edu.my/12696/
http://www.curtin.edu.my/amaes2014/
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spelling my.uum.repo.126962016-05-26T01:38:34Z http://repo.uum.edu.my/12696/ An A-stable explicit rational block method for the numerical solution of initial value problem Teh, Yuan Ying Omar, Zurni Mansor, Kamarun Hizam QA Mathematics 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. 2014-01-19 Conference or Workshop Item NonPeerReviewed application/pdf en http://repo.uum.edu.my/12696/1/An.pdf 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 (Unpublished) http://www.curtin.edu.my/amaes2014/
institution Universiti Utara Malaysia
building UUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Utara Malaysia
content_source UUM Institutionali Repository
url_provider http://repo.uum.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Teh, Yuan Ying
Omar, Zurni
Mansor, Kamarun Hizam
An A-stable explicit rational block method for the numerical solution of initial value problem
description 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.
format Conference or Workshop Item
author Teh, Yuan Ying
Omar, Zurni
Mansor, Kamarun Hizam
author_facet Teh, Yuan Ying
Omar, Zurni
Mansor, Kamarun Hizam
author_sort Teh, Yuan Ying
title An A-stable explicit rational block method for the numerical solution of initial value problem
title_short An A-stable explicit rational block method for the numerical solution of initial value problem
title_full An A-stable explicit rational block method for the numerical solution of initial value problem
title_fullStr An A-stable explicit rational block method for the numerical solution of initial value problem
title_full_unstemmed An A-stable explicit rational block method for the numerical solution of initial value problem
title_sort a-stable explicit rational block method for the numerical solution of initial value problem
publishDate 2014
url http://repo.uum.edu.my/12696/1/An.pdf
http://repo.uum.edu.my/12696/
http://www.curtin.edu.my/amaes2014/
_version_ 1644280976114712576
score 13.222552

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