Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas

This paper describes the development of a two-point implicit code in the form of fifth order Block Backward Differentiation Formulas (BBDF(5)) for solving first order stiff Ordinary Differential Equations (ODEs). This method computes the approximate solutions at two points simultaneously within an...

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Main Authors:	Nor Ain Azeany Mohd Nasir, Zarina Bibi Ibrahim, Khairil Iskandar Othman, Mohamed Suleiman
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2012
Online Access:	http://journalarticle.ukm.my/3940/ http://journalarticle.ukm.my/3940/ http://journalarticle.ukm.my/3940/1/15%2520Nor%2520Ain.pdf

id	ukm-3940
recordtype	eprints
spelling	ukm-39402016-12-14T06:35:22Z http://journalarticle.ukm.my/3940/ Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas Nor Ain Azeany Mohd Nasir, Zarina Bibi Ibrahim, Khairil Iskandar Othman, Mohamed Suleiman, This paper describes the development of a two-point implicit code in the form of fifth order Block Backward Differentiation Formulas (BBDF(5)) for solving first order stiff Ordinary Differential Equations (ODEs). This method computes the approximate solutions at two points simultaneously within an equidistant block. Numerical results are presented to compare the efficiency of the developed BBDF(5) to the classical one-point Backward Differentiation Formulas (BDF). The results indicated that the BBDF(5) outperformed the BDF in terms of total number of steps, accuracy and computational time. Universiti Kebangsaan Malaysia 2012-04 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/3940/1/15%2520Nor%2520Ain.pdf Nor Ain Azeany Mohd Nasir, and Zarina Bibi Ibrahim, and Khairil Iskandar Othman, and Mohamed Suleiman, (2012) Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas. Sains Malaysiana, 41 (4). pp. 489-492. ISSN 0126-6039 http://www.ukm.my/jsm
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	This paper describes the development of a two-point implicit code in the form of fifth order Block Backward Differentiation Formulas (BBDF(5)) for solving first order stiff Ordinary Differential Equations (ODEs). This method computes the approximate solutions at two points simultaneously within an equidistant block. Numerical results are presented to compare the efficiency of the developed BBDF(5) to the classical one-point Backward Differentiation Formulas (BDF). The results indicated that the BBDF(5) outperformed the BDF in terms of total number of steps, accuracy and computational time.
format	Article
author	Nor Ain Azeany Mohd Nasir, Zarina Bibi Ibrahim, Khairil Iskandar Othman, Mohamed Suleiman,
spellingShingle	Nor Ain Azeany Mohd Nasir, Zarina Bibi Ibrahim, Khairil Iskandar Othman, Mohamed Suleiman, Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas
author_facet	Nor Ain Azeany Mohd Nasir, Zarina Bibi Ibrahim, Khairil Iskandar Othman, Mohamed Suleiman,
author_sort	Nor Ain Azeany Mohd Nasir,
title	Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas
title_short	Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas
title_full	Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas
title_fullStr	Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas
title_full_unstemmed	Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas
title_sort	numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas
publisher	Universiti Kebangsaan Malaysia
publishDate	2012
url	http://journalarticle.ukm.my/3940/ http://journalarticle.ukm.my/3940/ http://journalarticle.ukm.my/3940/1/15%2520Nor%2520Ain.pdf
first_indexed	2023-09-18T19:40:10Z
last_indexed	2023-09-18T19:40:10Z
_version_	1777405537061699584

Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas

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