On the stability of diagonally implicit 2-point block backward differentiation formulae

In this work, the zero-stability properties of diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) are presented. The stability region is illustrated to prove the A-stable behavior. Some numerical stiff problems are provided to test the performance of the method in terms of...

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Main Authors: Mohd Zawawi, Iskandar Shah, Ibrahim, Zarina Bibi, Suleiman, Mohamed
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2013
Online Access:http://psasir.upm.edu.my/id/eprint/57182/1/On%20the%20stability%20of%20diagonally%20implicit%202-point%20block%20backward%20differentiation%20formulae.pdf
http://psasir.upm.edu.my/id/eprint/57182/
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spelling my.upm.eprints.571822017-09-08T09:41:35Z http://psasir.upm.edu.my/id/eprint/57182/ On the stability of diagonally implicit 2-point block backward differentiation formulae Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Suleiman, Mohamed In this work, the zero-stability properties of diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) are presented. The stability region is illustrated to prove the A-stable behavior. Some numerical stiff problems are provided to test the performance of the method in terms of accuracy. Numerical results are compared with the fully implicit 2-point block backward differentiation formulas (FI2BBDF). AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57182/1/On%20the%20stability%20of%20diagonally%20implicit%202-point%20block%20backward%20differentiation%20formulae.pdf Mohd Zawawi, Iskandar Shah and Ibrahim, Zarina Bibi and Suleiman, Mohamed (2013) On the stability of diagonally implicit 2-point block backward differentiation formulae. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 315-319). 10.1063/1.4823927
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 work, the zero-stability properties of diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) are presented. The stability region is illustrated to prove the A-stable behavior. Some numerical stiff problems are provided to test the performance of the method in terms of accuracy. Numerical results are compared with the fully implicit 2-point block backward differentiation formulas (FI2BBDF).
format Conference or Workshop Item
author Mohd Zawawi, Iskandar Shah
Ibrahim, Zarina Bibi
Suleiman, Mohamed
spellingShingle Mohd Zawawi, Iskandar Shah
Ibrahim, Zarina Bibi
Suleiman, Mohamed
On the stability of diagonally implicit 2-point block backward differentiation formulae
author_facet Mohd Zawawi, Iskandar Shah
Ibrahim, Zarina Bibi
Suleiman, Mohamed
author_sort Mohd Zawawi, Iskandar Shah
title On the stability of diagonally implicit 2-point block backward differentiation formulae
title_short On the stability of diagonally implicit 2-point block backward differentiation formulae
title_full On the stability of diagonally implicit 2-point block backward differentiation formulae
title_fullStr On the stability of diagonally implicit 2-point block backward differentiation formulae
title_full_unstemmed On the stability of diagonally implicit 2-point block backward differentiation formulae
title_sort on the stability of diagonally implicit 2-point block backward differentiation formulae
publisher AIP Publishing LLC
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/57182/1/On%20the%20stability%20of%20diagonally%20implicit%202-point%20block%20backward%20differentiation%20formulae.pdf
http://psasir.upm.edu.my/id/eprint/57182/
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score 13.211869