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An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems

A class of implicit 2-point block extended backward differentiation formula (BEBDF) of order 4 is presented. The stability region of the method is constructed and shown to be A – stable. Results obtained are compared with an existing block backward differentiation formula (BBDF). The comparison show...

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Main Authors: Suleiman, Mohamed, Musa, Hamisu, Ismail, Fudziah
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2015
Online Access:http://psasir.upm.edu.my/id/eprint/38950/1/38950.pdf
http://psasir.upm.edu.my/id/eprint/38950/
http://einspem.upm.edu.my/journal/fullpaper/vol9/3.%20Hamisu%20MJMS2014.pdf
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spelling my.upm.eprints.389502015-09-04T13:47:49Z http://psasir.upm.edu.my/id/eprint/38950/ An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems Suleiman, Mohamed Musa, Hamisu Ismail, Fudziah A class of implicit 2-point block extended backward differentiation formula (BEBDF) of order 4 is presented. The stability region of the method is constructed and shown to be A – stable. Results obtained are compared with an existing block backward differentiation formula (BBDF). The comparison shows that using constant step size and the same number of integration steps, our method achieves greater accuracy than the 2-point BBDF and is suitable for solving stiff initial value problems. Institute for Mathematical Research, Universiti Putra Malaysia 2015-01 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38950/1/38950.pdf Suleiman, Mohamed and Musa, Hamisu and Ismail, Fudziah (2015) An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems. Malaysian Journal of Mathematical Sciences, 9 (1). pp. 33-51. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol9/3.%20Hamisu%20MJMS2014.pdf
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 A class of implicit 2-point block extended backward differentiation formula (BEBDF) of order 4 is presented. The stability region of the method is constructed and shown to be A – stable. Results obtained are compared with an existing block backward differentiation formula (BBDF). The comparison shows that using constant step size and the same number of integration steps, our method achieves greater accuracy than the 2-point BBDF and is suitable for solving stiff initial value problems.
format Article
author Suleiman, Mohamed
Musa, Hamisu
Ismail, Fudziah
spellingShingle Suleiman, Mohamed
Musa, Hamisu
Ismail, Fudziah
An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems
author_facet Suleiman, Mohamed
Musa, Hamisu
Ismail, Fudziah
author_sort Suleiman, Mohamed
title An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems
title_short An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems
title_full An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems
title_fullStr An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems
title_full_unstemmed An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems
title_sort implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems
publisher Institute for Mathematical Research, Universiti Putra Malaysia
publishDate 2015
url http://psasir.upm.edu.my/id/eprint/38950/1/38950.pdf
http://psasir.upm.edu.my/id/eprint/38950/
http://einspem.upm.edu.my/journal/fullpaper/vol9/3.%20Hamisu%20MJMS2014.pdf
_version_ 1643832281584893952
score 13.159267

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