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An explicit two-step rational method for the numerical solution of first order initial value problem

An explicit two-step, second order rational method for the numerical solution of first order initial value problems is introduced in this paper. Existing rational multistep methods required the computations of higher derivatives from a given initial value problem.However, the new two-step rational m...

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Main Author: Teh, Yuan Ying
Format: Conference or Workshop Item
Language:English
Published: 2014
Subjects:
QA Mathematics
Online Access:http://repo.uum.edu.my/12693/1/An%20e.pdf
http://repo.uum.edu.my/12693/
http://dx.doi.org/10.1063/1.4887571
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spelling my.uum.repo.126932016-05-26T01:37:24Z http://repo.uum.edu.my/12693/ An explicit two-step rational method for the numerical solution of first order initial value problem Teh, Yuan Ying QA Mathematics An explicit two-step, second order rational method for the numerical solution of first order initial value problems is introduced in this paper. Existing rational multistep methods required the computations of higher derivatives from a given initial value problem.However, the new two-step rational method does not require any computation of these higher derivatives, and thus save up some computational cost. Numerical results showed that the new rational multistep method and existing rational multistep method are found to have comparable accuracy in solving first order initial value problems. 2014 Conference or Workshop Item PeerReviewed application/pdf en http://repo.uum.edu.my/12693/1/An%20e.pdf Teh, Yuan Ying (2014) An explicit two-step rational method for the numerical solution of first order initial value problem. In: 21st National Symposium on Mathematical Sciences (SMSK21), 6–8 November 2013, Penang, Malaysia. http://dx.doi.org/10.1063/1.4887571 doi:10.1063/1.4887571
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
An explicit two-step rational method for the numerical solution of first order initial value problem
description An explicit two-step, second order rational method for the numerical solution of first order initial value problems is introduced in this paper. Existing rational multistep methods required the computations of higher derivatives from a given initial value problem.However, the new two-step rational method does not require any computation of these higher derivatives, and thus save up some computational cost. Numerical results showed that the new rational multistep method and existing rational multistep method are found to have comparable accuracy in solving first order initial value problems.
format Conference or Workshop Item
author Teh, Yuan Ying
author_facet Teh, Yuan Ying
author_sort Teh, Yuan Ying
title An explicit two-step rational method for the numerical solution of first order initial value problem
title_short An explicit two-step rational method for the numerical solution of first order initial value problem
title_full An explicit two-step rational method for the numerical solution of first order initial value problem
title_fullStr An explicit two-step rational method for the numerical solution of first order initial value problem
title_full_unstemmed An explicit two-step rational method for the numerical solution of first order initial value problem
title_sort explicit two-step rational method for the numerical solution of first order initial value problem
publishDate 2014
url http://repo.uum.edu.my/12693/1/An%20e.pdf
http://repo.uum.edu.my/12693/
http://dx.doi.org/10.1063/1.4887571
_version_ 1644280975239151616
score 13.244404

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