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Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations

The three point block method for solving second order ordinary differential equations (ODEs) directly using constant step size is derived. The reliability of this new method is verified in the numerical results with the improved performance in terms of computation time while maintaining the accuracy...

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Main Authors: Zainuddin, Nooraini, Ibrahim, Zarina Bibi, Othman, Khairil Iskandar
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2014
Online Access:http://psasir.upm.edu.my/id/eprint/57443/1/Diagonally%20implicit%20block%20backward%20differentiation%20formula%20for%20solving%20linear%20second%20order%20ordinary%20differential%20equations.pdf
http://psasir.upm.edu.my/id/eprint/57443/
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spelling my.upm.eprints.574432017-09-27T10:47:17Z http://psasir.upm.edu.my/id/eprint/57443/ Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations Zainuddin, Nooraini Ibrahim, Zarina Bibi Othman, Khairil Iskandar The three point block method for solving second order ordinary differential equations (ODEs) directly using constant step size is derived. The reliability of this new method is verified in the numerical results with the improved performance in terms of computation time while maintaining the accuracy. The comparison is presented between the new method and classical backward differentiation formulas (BDF) of order 3. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57443/1/Diagonally%20implicit%20block%20backward%20differentiation%20formula%20for%20solving%20linear%20second%20order%20ordinary%20differential%20equations.pdf Zainuddin, Nooraini and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar (2014) Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations. In: 3rd International Conference on Fundamental and Applied Sciences (ICFAS 2014), 3-5 June 2014, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 69-75). 10.1063/1.4898447
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 The three point block method for solving second order ordinary differential equations (ODEs) directly using constant step size is derived. The reliability of this new method is verified in the numerical results with the improved performance in terms of computation time while maintaining the accuracy. The comparison is presented between the new method and classical backward differentiation formulas (BDF) of order 3.
format Conference or Workshop Item
author Zainuddin, Nooraini
Ibrahim, Zarina Bibi
Othman, Khairil Iskandar
spellingShingle Zainuddin, Nooraini
Ibrahim, Zarina Bibi
Othman, Khairil Iskandar
Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations
author_facet Zainuddin, Nooraini
Ibrahim, Zarina Bibi
Othman, Khairil Iskandar
author_sort Zainuddin, Nooraini
title Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations
title_short Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations
title_full Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations
title_fullStr Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations
title_full_unstemmed Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations
title_sort diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations
publisher AIP Publishing LLC
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/57443/1/Diagonally%20implicit%20block%20backward%20differentiation%20formula%20for%20solving%20linear%20second%20order%20ordinary%20differential%20equations.pdf
http://psasir.upm.edu.my/id/eprint/57443/
_version_ 1643836488958345216
score 13.159267

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