Stability of block backward differentiation formulas method

In this paper, a technique for finding A(α) - stability interval for the Block Backward Differentiation Formulas (BBDFs) are presented. The stability region is obtained for a single equation and stable step size restriction is indicated for the BBDF of order four, (BBDF(4)), and BBDF of order five,...

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Main Authors:	Mohd Nasir, Nor Ain Azeany, Ibrahim, Zarina Bibi, Suleiman, Mohamed, Othman, Khairil Iskandar
Format:	Conference or Workshop Item
Language:	English
Published:	AIP Publishing LLC 2014
Online Access:	http://psasir.upm.edu.my/id/eprint/57545/1/Stability%20of%20block%20backward%20differentiation%20formulas%20method.pdf http://psasir.upm.edu.my/id/eprint/57545/
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Institution:	Universiti Putra Malaysia
Language:	English

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spelling	my.upm.eprints.575452017-10-24T04:04:59Z http://psasir.upm.edu.my/id/eprint/57545/ Stability of block backward differentiation formulas method Mohd Nasir, Nor Ain Azeany Ibrahim, Zarina Bibi Suleiman, Mohamed Othman, Khairil Iskandar In this paper, a technique for finding A(α) - stability interval for the Block Backward Differentiation Formulas (BBDFs) are presented. The stability region is obtained for a single equation and stable step size restriction is indicated for the BBDF of order four, (BBDF(4)), and BBDF of order five, (BBDF(5)). Numerical examples are given to illustrate the stability interval in choosing a suitable step size in the implementation of the method. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57545/1/Stability%20of%20block%20backward%20differentiation%20formulas%20method.pdf Mohd Nasir, Nor Ain Azeany and Ibrahim, Zarina Bibi and Suleiman, Mohamed and Othman, Khairil Iskandar (2014) Stability of block backward differentiation formulas method. In: 22nd National Symposium on Mathematical Sciences (SKSM22), 24-26 Nov. 2014, Grand Bluewave Hotel, Selangor. (pp. 1-6). 10.1063/1.4932419
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	In this paper, a technique for finding A(α) - stability interval for the Block Backward Differentiation Formulas (BBDFs) are presented. The stability region is obtained for a single equation and stable step size restriction is indicated for the BBDF of order four, (BBDF(4)), and BBDF of order five, (BBDF(5)). Numerical examples are given to illustrate the stability interval in choosing a suitable step size in the implementation of the method.
format	Conference or Workshop Item
author	Mohd Nasir, Nor Ain Azeany Ibrahim, Zarina Bibi Suleiman, Mohamed Othman, Khairil Iskandar
spellingShingle	Mohd Nasir, Nor Ain Azeany Ibrahim, Zarina Bibi Suleiman, Mohamed Othman, Khairil Iskandar Stability of block backward differentiation formulas method
author_facet	Mohd Nasir, Nor Ain Azeany Ibrahim, Zarina Bibi Suleiman, Mohamed Othman, Khairil Iskandar
author_sort	Mohd Nasir, Nor Ain Azeany
title	Stability of block backward differentiation formulas method
title_short	Stability of block backward differentiation formulas method
title_full	Stability of block backward differentiation formulas method
title_fullStr	Stability of block backward differentiation formulas method
title_full_unstemmed	Stability of block backward differentiation formulas method
title_sort	stability of block backward differentiation formulas method
publisher	AIP Publishing LLC
publishDate	2014
url	http://psasir.upm.edu.my/id/eprint/57545/1/Stability%20of%20block%20backward%20differentiation%20formulas%20method.pdf http://psasir.upm.edu.my/id/eprint/57545/
_version_	1643836519433109504

Stability of block backward differentiation formulas method

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