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Adaptive order of block backward differentiation formulas for stiff ODEs

In this paper, Adapative Order of Block Backward Differentiation Formulas (ABBDFs) are formulated using uniform step size for the numerical solution of stiff ordinary differential equations (ODEs). These ABBDF methods are of order four, five and six. The benefit of the ABBDF methods is the computati...

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Main Authors: Ibrahim, Z.B., Mohd Nasir, N.A.A., Othman, K.I., Zainuddin, N.
Format: Article
Published: American Institute of Mathematical Sciences 2017
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85013745612&doi=10.3934%2fnaco.2017006&partnerID=40&md5=1fc01320d5bc78288613768fa5298add
http://eprints.utp.edu.my/19604/
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spelling my.utp.eprints.196042018-03-22T07:29:39Z Adaptive order of block backward differentiation formulas for stiff ODEs Ibrahim, Z.B. Mohd Nasir, N.A.A. Othman, K.I. Zainuddin, N. In this paper, Adapative Order of Block Backward Differentiation Formulas (ABBDFs) are formulated using uniform step size for the numerical solution of stiff ordinary differential equations (ODEs). These ABBDF methods are of order four, five and six. The benefit of the ABBDF methods is the computation time in the computation of solutions. Numerical results are presented to demonstrate the advantage of implementing adaptive order selection in a single code. © 2010 Mathematics Subject Classification. American Institute of Mathematical Sciences 2017 Article PeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85013745612&doi=10.3934%2fnaco.2017006&partnerID=40&md5=1fc01320d5bc78288613768fa5298add Ibrahim, Z.B. and Mohd Nasir, N.A.A. and Othman, K.I. and Zainuddin, N. (2017) Adaptive order of block backward differentiation formulas for stiff ODEs. Numerical Algebra, Control and Optimization, 7 (1). pp. 95-106. http://eprints.utp.edu.my/19604/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
description In this paper, Adapative Order of Block Backward Differentiation Formulas (ABBDFs) are formulated using uniform step size for the numerical solution of stiff ordinary differential equations (ODEs). These ABBDF methods are of order four, five and six. The benefit of the ABBDF methods is the computation time in the computation of solutions. Numerical results are presented to demonstrate the advantage of implementing adaptive order selection in a single code. © 2010 Mathematics Subject Classification.
format Article
author Ibrahim, Z.B.
Mohd Nasir, N.A.A.
Othman, K.I.
Zainuddin, N.
spellingShingle Ibrahim, Z.B.
Mohd Nasir, N.A.A.
Othman, K.I.
Zainuddin, N.
Adaptive order of block backward differentiation formulas for stiff ODEs
author_facet Ibrahim, Z.B.
Mohd Nasir, N.A.A.
Othman, K.I.
Zainuddin, N.
author_sort Ibrahim, Z.B.
title Adaptive order of block backward differentiation formulas for stiff ODEs
title_short Adaptive order of block backward differentiation formulas for stiff ODEs
title_full Adaptive order of block backward differentiation formulas for stiff ODEs
title_fullStr Adaptive order of block backward differentiation formulas for stiff ODEs
title_full_unstemmed Adaptive order of block backward differentiation formulas for stiff ODEs
title_sort adaptive order of block backward differentiation formulas for stiff odes
publisher American Institute of Mathematical Sciences
publishDate 2017
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85013745612&doi=10.3934%2fnaco.2017006&partnerID=40&md5=1fc01320d5bc78288613768fa5298add
http://eprints.utp.edu.my/19604/
_version_ 1738656093667590144
score 13.209306

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