On the convergence of two point block backward differentiation formula for second order ODEs

The Two Point Block Backward Differentiation Formula (BBDF2) is a direct solver for second order Ordinary Differential Equations (ODEs). It had shown its efficiency by having less total number of steps and less computational time over the first order ODEs solver. In this paper, the convergence of th...

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Main Authors: Zainuddin, Nooraini, Ibrahim, Zarina Bibi, Jamaludin, Noraini
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57612/1/On%20the%20convergence%20of%20two%20point%20block%20backward%20differentiation%20formula%20for%20second%20order%20ODEs.pdf
http://psasir.upm.edu.my/id/eprint/57612/
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spelling my.upm.eprints.576122017-10-24T07:39:12Z http://psasir.upm.edu.my/id/eprint/57612/ On the convergence of two point block backward differentiation formula for second order ODEs Zainuddin, Nooraini Ibrahim, Zarina Bibi Jamaludin, Noraini The Two Point Block Backward Differentiation Formula (BBDF2) is a direct solver for second order Ordinary Differential Equations (ODEs). It had shown its efficiency by having less total number of steps and less computational time over the first order ODEs solver. In this paper, the convergence of the BBDF2 is justified by its consistency and zero-stability properties. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57612/1/On%20the%20convergence%20of%20two%20point%20block%20backward%20differentiation%20formula%20for%20second%20order%20ODEs.pdf Zainuddin, Nooraini and Ibrahim, Zarina Bibi and Jamaludin, Noraini (2016) On the convergence of two point block backward differentiation formula for second order ODEs. In: 4th International Conference of Fundamental and Applied Sciences (ICFAS 2016), 15-17 Aug. 2016, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 1-4). 10.1063/1.4968155
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 Two Point Block Backward Differentiation Formula (BBDF2) is a direct solver for second order Ordinary Differential Equations (ODEs). It had shown its efficiency by having less total number of steps and less computational time over the first order ODEs solver. In this paper, the convergence of the BBDF2 is justified by its consistency and zero-stability properties.
format Conference or Workshop Item
author Zainuddin, Nooraini
Ibrahim, Zarina Bibi
Jamaludin, Noraini
spellingShingle Zainuddin, Nooraini
Ibrahim, Zarina Bibi
Jamaludin, Noraini
On the convergence of two point block backward differentiation formula for second order ODEs
author_facet Zainuddin, Nooraini
Ibrahim, Zarina Bibi
Jamaludin, Noraini
author_sort Zainuddin, Nooraini
title On the convergence of two point block backward differentiation formula for second order ODEs
title_short On the convergence of two point block backward differentiation formula for second order ODEs
title_full On the convergence of two point block backward differentiation formula for second order ODEs
title_fullStr On the convergence of two point block backward differentiation formula for second order ODEs
title_full_unstemmed On the convergence of two point block backward differentiation formula for second order ODEs
title_sort on the convergence of two point block backward differentiation formula for second order odes
publisher AIP Publishing
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/57612/1/On%20the%20convergence%20of%20two%20point%20block%20backward%20differentiation%20formula%20for%20second%20order%20ODEs.pdf
http://psasir.upm.edu.my/id/eprint/57612/
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score 13.251813