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New block Runge-Kutta method with various weights for solving stiff ordinary differential equations

This paper discusses the development of a new block Runge-Kutta (NBRK) method with various weights for solving stiff ordinary differential equations (ODEs). Performance of the proposed method in terms of maximum error and computational time is compared with third order RK (RK3) method and modified w...

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Main Authors: Jana Aksah, Saufianim, Ibrahim, Zarina Bibi, Rahim, Yong Faezah
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2015
Online Access:http://psasir.upm.edu.my/id/eprint/57318/1/New%20block%20Runge-Kutta%20method%20with%20various%20weights%20for%20solving%20stiff%20ordinary%20differential%20equations.pdf
http://psasir.upm.edu.my/id/eprint/57318/
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spelling my.upm.eprints.573182017-09-26T04:04:49Z http://psasir.upm.edu.my/id/eprint/57318/ New block Runge-Kutta method with various weights for solving stiff ordinary differential equations Jana Aksah, Saufianim Ibrahim, Zarina Bibi Rahim, Yong Faezah This paper discusses the development of a new block Runge-Kutta (NBRK) method with various weights for solving stiff ordinary differential equations (ODEs). Performance of the proposed method in terms of maximum error and computational time is compared with third order RK (RK3) method and modified weighted RK3 method based on Centroidal Mean (MWRK3CeM). Comparison between weights used is also analyzed. Numerical results show that the proposed method outperformed the MWRK3CeM and the RK3 method. AIP Publishing 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57318/1/New%20block%20Runge-Kutta%20method%20with%20various%20weights%20for%20solving%20stiff%20ordinary%20differential%20equations.pdf Jana Aksah, Saufianim and Ibrahim, Zarina Bibi and Rahim, Yong Faezah (2015) New block Runge-Kutta method with various weights for solving stiff ordinary differential equations. In: 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23), 24-26 Nov. 2015, Johor Bahru, Malaysia. (pp. 1-7). 10.1063/1.4954528
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description This paper discusses the development of a new block Runge-Kutta (NBRK) method with various weights for solving stiff ordinary differential equations (ODEs). Performance of the proposed method in terms of maximum error and computational time is compared with third order RK (RK3) method and modified weighted RK3 method based on Centroidal Mean (MWRK3CeM). Comparison between weights used is also analyzed. Numerical results show that the proposed method outperformed the MWRK3CeM and the RK3 method.
format Conference or Workshop Item
author Jana Aksah, Saufianim
Ibrahim, Zarina Bibi
Rahim, Yong Faezah
spellingShingle Jana Aksah, Saufianim
Ibrahim, Zarina Bibi
Rahim, Yong Faezah
New block Runge-Kutta method with various weights for solving stiff ordinary differential equations
author_facet Jana Aksah, Saufianim
Ibrahim, Zarina Bibi
Rahim, Yong Faezah
author_sort Jana Aksah, Saufianim
title New block Runge-Kutta method with various weights for solving stiff ordinary differential equations
title_short New block Runge-Kutta method with various weights for solving stiff ordinary differential equations
title_full New block Runge-Kutta method with various weights for solving stiff ordinary differential equations
title_fullStr New block Runge-Kutta method with various weights for solving stiff ordinary differential equations
title_full_unstemmed New block Runge-Kutta method with various weights for solving stiff ordinary differential equations
title_sort new block runge-kutta method with various weights for solving stiff ordinary differential equations
publisher AIP Publishing
publishDate 2015
url http://psasir.upm.edu.my/id/eprint/57318/1/New%20block%20Runge-Kutta%20method%20with%20various%20weights%20for%20solving%20stiff%20ordinary%20differential%20equations.pdf
http://psasir.upm.edu.my/id/eprint/57318/
_version_ 1643836451678322688
score 13.251813

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