Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations

Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations

In this paper, index-1 differential algebraic equations have been solved via a block backward differentiation formula (BDF) using variable step size. Two solution values are obtained simultaneously based on the method in the block. The strategy of controlling the step size is proposed. The method...

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Main Authors: Abasi, Naghmeh, Suleiman, Mohamed, Ibrahim, Zarina Bibi, Musa, Hamisu, Rabiei, Faranak
Format: Article
Published: Science Society of Thailand 2014
Online Access:http://psasir.upm.edu.my/id/eprint/35968/
http://www.scienceasia.org/content/viewabstract.php?ms=4236&v=32
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Institution: Universiti Putra Malaysia
id my.upm.eprints.35968
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spelling my.upm.eprints.359682016-02-12T02:42:06Z http://psasir.upm.edu.my/id/eprint/35968/ Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations Abasi, Naghmeh Suleiman, Mohamed Ibrahim, Zarina Bibi Musa, Hamisu Rabiei, Faranak In this paper, index-1 differential algebraic equations have been solved via a block backward differentiation formula (BDF) using variable step size. Two solution values are obtained simultaneously based on the method in the block. The strategy of controlling the step size is proposed. The method is compared with the existing variable step BDF method. Numerical results are given to support the enhancement of the method in terms of accuracy. Science Society of Thailand 2014-10 Article PeerReviewed Abasi, Naghmeh and Suleiman, Mohamed and Ibrahim, Zarina Bibi and Musa, Hamisu and Rabiei, Faranak (2014) Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations. ScienceAsia, 40 (5). pp. 375-378. ISSN 1513-1874 http://www.scienceasia.org/content/viewabstract.php?ms=4236&v=32 10.2306/scienceasia1513-1874.2014.40.375
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/
description In this paper, index-1 differential algebraic equations have been solved via a block backward differentiation formula (BDF) using variable step size. Two solution values are obtained simultaneously based on the method in the block. The strategy of controlling the step size is proposed. The method is compared with the existing variable step BDF method. Numerical results are given to support the enhancement of the method in terms of accuracy.
format Article
author Abasi, Naghmeh
Suleiman, Mohamed
Ibrahim, Zarina Bibi
Musa, Hamisu
Rabiei, Faranak
spellingShingle Abasi, Naghmeh
Suleiman, Mohamed
Ibrahim, Zarina Bibi
Musa, Hamisu
Rabiei, Faranak
Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations
author_facet Abasi, Naghmeh
Suleiman, Mohamed
Ibrahim, Zarina Bibi
Musa, Hamisu
Rabiei, Faranak
author_sort Abasi, Naghmeh
title Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations
title_short Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations
title_full Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations
title_fullStr Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations
title_full_unstemmed Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations
title_sort variable step 2-point block backward differentiation formula for index-1 differential algebraic equations
publisher Science Society of Thailand
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/35968/
http://www.scienceasia.org/content/viewabstract.php?ms=4236&v=32
_version_ 1643831610211041280

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