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Derivation of BBDF-α for solving ordinary differential equation

In this paper, the block backward differentiation formulas with parameter α (BBDF-α) of order three is derived in a constant step size for solving system of first order ordinary differential equations (ODEs). The coefficients of formula are generated using Maple software package. The influence of pa...

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Main Authors: Mohd Zawawi, Iskandar Shah, Ibrahim, Zarina Bibi
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2015
Online Access:http://psasir.upm.edu.my/id/eprint/57372/1/Derivation%20of%20BBDF-%CE%B1%20for%20solving%20ordinary%20differential%20equation.pdf
http://psasir.upm.edu.my/id/eprint/57372/
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spelling my.upm.eprints.573722017-09-27T06:37:14Z http://psasir.upm.edu.my/id/eprint/57372/ Derivation of BBDF-α for solving ordinary differential equation Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi In this paper, the block backward differentiation formulas with parameter α (BBDF-α) of order three is derived in a constant step size for solving system of first order ordinary differential equations (ODEs). The coefficients of formula are generated using Maple software package. The influence of parameter α is considered to produce better approximate solutions at two points simultaneously. Numerical experiment is included to show the capability of the derived method in solving ODEs. Numerical results indicate that the BBDF-α outperforms the existing methods in term of accuracy. AIP Publishing 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57372/1/Derivation%20of%20BBDF-%CE%B1%20for%20solving%20ordinary%20differential%20equation.pdf Mohd Zawawi, Iskandar Shah and Ibrahim, Zarina Bibi (2015) Derivation of BBDF-α for solving ordinary differential equation. In: 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23), 24-26 Nov. 2015, Johor Bahru, Malaysia. (pp. 1-8). 10.1063/1.4954531
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, the block backward differentiation formulas with parameter α (BBDF-α) of order three is derived in a constant step size for solving system of first order ordinary differential equations (ODEs). The coefficients of formula are generated using Maple software package. The influence of parameter α is considered to produce better approximate solutions at two points simultaneously. Numerical experiment is included to show the capability of the derived method in solving ODEs. Numerical results indicate that the BBDF-α outperforms the existing methods in term of accuracy.
format Conference or Workshop Item
author Mohd Zawawi, Iskandar Shah
Ibrahim, Zarina Bibi
spellingShingle Mohd Zawawi, Iskandar Shah
Ibrahim, Zarina Bibi
Derivation of BBDF-α for solving ordinary differential equation
author_facet Mohd Zawawi, Iskandar Shah
Ibrahim, Zarina Bibi
author_sort Mohd Zawawi, Iskandar Shah
title Derivation of BBDF-α for solving ordinary differential equation
title_short Derivation of BBDF-α for solving ordinary differential equation
title_full Derivation of BBDF-α for solving ordinary differential equation
title_fullStr Derivation of BBDF-α for solving ordinary differential equation
title_full_unstemmed Derivation of BBDF-α for solving ordinary differential equation
title_sort derivation of bbdf-α for solving ordinary differential equation
publisher AIP Publishing
publishDate 2015
url http://psasir.upm.edu.my/id/eprint/57372/1/Derivation%20of%20BBDF-%CE%B1%20for%20solving%20ordinary%20differential%20equation.pdf
http://psasir.upm.edu.my/id/eprint/57372/
_version_ 1643836467892453376
score 13.244369

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