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A new fifth order implicit block method for solving first order stiff ordinary differential equations

A new implicit block backward differentiation formula that computes 3–points simultaneously is derived. The method is of order 5 and solves system of stiff ordinary differential equations (ODEs). The stability analysis indicates that the method is A–stable. Numerical results show that the method ou...

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Main Authors: Musa, Hamisu, Suleiman, Mohamed, Ismail, Fudziah, Senu, Norazak, Abdul Majid, Zanariah, Ibrahim, Zarina Bibi
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2014
Online Access:http://psasir.upm.edu.my/id/eprint/39052/1/39052.pdf
http://psasir.upm.edu.my/id/eprint/39052/
http://einspem.upm.edu.my/journal/fullpaper/vol8soct/5.%20hamisu%20musa.pdf
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spelling my.upm.eprints.390522015-09-04T11:07:12Z http://psasir.upm.edu.my/id/eprint/39052/ A new fifth order implicit block method for solving first order stiff ordinary differential equations Musa, Hamisu Suleiman, Mohamed Ismail, Fudziah Senu, Norazak Abdul Majid, Zanariah Ibrahim, Zarina Bibi A new implicit block backward differentiation formula that computes 3–points simultaneously is derived. The method is of order 5 and solves system of stiff ordinary differential equations (ODEs). The stability analysis indicates that the method is A–stable. Numerical results show that the method outperformed some existing block and non-block methodsfor solving stiff ODEs. Institute for Mathematical Research, Universiti Putra Malaysia 2014-10 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/39052/1/39052.pdf Musa, Hamisu and Suleiman, Mohamed and Ismail, Fudziah and Senu, Norazak and Abdul Majid, Zanariah and Ibrahim, Zarina Bibi (2014) A new fifth order implicit block method for solving first order stiff ordinary differential equations. Malaysian Journal of Mathematical Sciences, 8 (S). pp. 45-59. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol8soct/5.%20hamisu%20musa.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 new implicit block backward differentiation formula that computes 3–points simultaneously is derived. The method is of order 5 and solves system of stiff ordinary differential equations (ODEs). The stability analysis indicates that the method is A–stable. Numerical results show that the method outperformed some existing block and non-block methodsfor solving stiff ODEs.
format Article
author Musa, Hamisu
Suleiman, Mohamed
Ismail, Fudziah
Senu, Norazak
Abdul Majid, Zanariah
Ibrahim, Zarina Bibi
spellingShingle Musa, Hamisu
Suleiman, Mohamed
Ismail, Fudziah
Senu, Norazak
Abdul Majid, Zanariah
Ibrahim, Zarina Bibi
A new fifth order implicit block method for solving first order stiff ordinary differential equations
author_facet Musa, Hamisu
Suleiman, Mohamed
Ismail, Fudziah
Senu, Norazak
Abdul Majid, Zanariah
Ibrahim, Zarina Bibi
author_sort Musa, Hamisu
title A new fifth order implicit block method for solving first order stiff ordinary differential equations
title_short A new fifth order implicit block method for solving first order stiff ordinary differential equations
title_full A new fifth order implicit block method for solving first order stiff ordinary differential equations
title_fullStr A new fifth order implicit block method for solving first order stiff ordinary differential equations
title_full_unstemmed A new fifth order implicit block method for solving first order stiff ordinary differential equations
title_sort new fifth order implicit block method for solving first order stiff ordinary differential equations
publisher Institute for Mathematical Research, Universiti Putra Malaysia
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/39052/1/39052.pdf
http://psasir.upm.edu.my/id/eprint/39052/
http://einspem.upm.edu.my/journal/fullpaper/vol8soct/5.%20hamisu%20musa.pdf
_version_ 1643832311316217856
score 13.160551

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