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On the integration of stiff ODEs using block backward differentiation formulas of order six

In this research, a six-order, fully implicit Block Backward Differentiation Formula with two off-step points (BBDFO(6)), for the integration of first-order ordinary differential equations (ODEs) that exhibit stiffness, is proposed. The order, consistency and stability properties of the method are d...

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Main Authors: Mohd Nasarudin, Amiratul Ashikin, Ibrahim, Zarina Bibi, Rosali, Haliza
Format: Article
Language:English
Published: Multidisciplinary Digital Publishing Institute 2020
Online Access:http://psasir.upm.edu.my/id/eprint/86976/1/On%20the%20integration%20of%20stiff.pdf
http://psasir.upm.edu.my/id/eprint/86976/
https://www.mdpi.com/2073-8994/12/6/952
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spelling my.upm.eprints.869762022-09-05T03:34:24Z http://psasir.upm.edu.my/id/eprint/86976/ On the integration of stiff ODEs using block backward differentiation formulas of order six Mohd Nasarudin, Amiratul Ashikin Ibrahim, Zarina Bibi Rosali, Haliza In this research, a six-order, fully implicit Block Backward Differentiation Formula with two off-step points (BBDFO(6)), for the integration of first-order ordinary differential equations (ODEs) that exhibit stiffness, is proposed. The order, consistency and stability properties of the method are discussed, and the method is found to be zero stable and consistent. Hence, the method is convergent. The numerical comparisons with the existing methods of a similar type are given to demonstrate the accuracy of the derived method. Multidisciplinary Digital Publishing Institute 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/86976/1/On%20the%20integration%20of%20stiff.pdf Mohd Nasarudin, Amiratul Ashikin and Ibrahim, Zarina Bibi and Rosali, Haliza (2020) On the integration of stiff ODEs using block backward differentiation formulas of order six. Symmetry-Basel, 12 (6). pp. 1-13. ISSN 2073-8994 https://www.mdpi.com/2073-8994/12/6/952
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 research, a six-order, fully implicit Block Backward Differentiation Formula with two off-step points (BBDFO(6)), for the integration of first-order ordinary differential equations (ODEs) that exhibit stiffness, is proposed. The order, consistency and stability properties of the method are discussed, and the method is found to be zero stable and consistent. Hence, the method is convergent. The numerical comparisons with the existing methods of a similar type are given to demonstrate the accuracy of the derived method.
format Article
author Mohd Nasarudin, Amiratul Ashikin
Ibrahim, Zarina Bibi
Rosali, Haliza
spellingShingle Mohd Nasarudin, Amiratul Ashikin
Ibrahim, Zarina Bibi
Rosali, Haliza
On the integration of stiff ODEs using block backward differentiation formulas of order six
author_facet Mohd Nasarudin, Amiratul Ashikin
Ibrahim, Zarina Bibi
Rosali, Haliza
author_sort Mohd Nasarudin, Amiratul Ashikin
title On the integration of stiff ODEs using block backward differentiation formulas of order six
title_short On the integration of stiff ODEs using block backward differentiation formulas of order six
title_full On the integration of stiff ODEs using block backward differentiation formulas of order six
title_fullStr On the integration of stiff ODEs using block backward differentiation formulas of order six
title_full_unstemmed On the integration of stiff ODEs using block backward differentiation formulas of order six
title_sort on the integration of stiff odes using block backward differentiation formulas of order six
publisher Multidisciplinary Digital Publishing Institute
publishDate 2020
url http://psasir.upm.edu.my/id/eprint/86976/1/On%20the%20integration%20of%20stiff.pdf
http://psasir.upm.edu.my/id/eprint/86976/
https://www.mdpi.com/2073-8994/12/6/952
_version_ 1743108538576666624
score 13.159267

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