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Numerical solution of first order initial value problems using a self-starting implicit two-step Obrechkoff-type block method

The conventional two-step implicit Obrechkoff method is a discrete scheme that requires additional starting values when implemented for the numerical solution of first order initial value problems. This paper therefore presents a two-step implicit Obrechkoff-type block method which is self-starting...

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Main Authors: Omar, Zurni, Adeyeye, Oluwaseun
Format: Article
Language:English
Published: Science Publications 2016
Subjects:
QA75 Electronic computers. Computer science
Online Access:http://repo.uum.edu.my/22318/1/JMS%2012%202%20%202016%20%20127%20134.pdf
http://repo.uum.edu.my/22318/
http://doi.org/10.3844/jmssp.2016.127.134
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spelling my.uum.repo.223182017-06-07T06:14:59Z http://repo.uum.edu.my/22318/ Numerical solution of first order initial value problems using a self-starting implicit two-step Obrechkoff-type block method Omar, Zurni Adeyeye, Oluwaseun QA75 Electronic computers. Computer science The conventional two-step implicit Obrechkoff method is a discrete scheme that requires additional starting values when implemented for the numerical solution of first order initial value problems. This paper therefore presents a two-step implicit Obrechkoff-type block method which is self-starting for solving first order initial value problems, hence bypassing the rigour of developing and implementing new starting values for the method. Numerical examples are considered to show the new method performing better when com-pared with previously existing methods in literature. Science Publications 2016 Article PeerReviewed application/pdf en cc_by http://repo.uum.edu.my/22318/1/JMS%2012%202%20%202016%20%20127%20134.pdf Omar, Zurni and Adeyeye, Oluwaseun (2016) Numerical solution of first order initial value problems using a self-starting implicit two-step Obrechkoff-type block method. Journal of Mathematics and Statistics, 12 (2). pp. 127-134. ISSN 1549-3644 http://doi.org/10.3844/jmssp.2016.127.134 doi:10.3844/jmssp.2016.127.134
institution Universiti Utara Malaysia
building UUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Utara Malaysia
content_source UUM Institutionali Repository
url_provider http://repo.uum.edu.my/
language English
topic QA75 Electronic computers. Computer science
spellingShingle QA75 Electronic computers. Computer science
Omar, Zurni
Adeyeye, Oluwaseun
Numerical solution of first order initial value problems using a self-starting implicit two-step Obrechkoff-type block method
description The conventional two-step implicit Obrechkoff method is a discrete scheme that requires additional starting values when implemented for the numerical solution of first order initial value problems. This paper therefore presents a two-step implicit Obrechkoff-type block method which is self-starting for solving first order initial value problems, hence bypassing the rigour of developing and implementing new starting values for the method. Numerical examples are considered to show the new method performing better when com-pared with previously existing methods in literature.
format Article
author Omar, Zurni
Adeyeye, Oluwaseun
author_facet Omar, Zurni
Adeyeye, Oluwaseun
author_sort Omar, Zurni
title Numerical solution of first order initial value problems using a self-starting implicit two-step Obrechkoff-type block method
title_short Numerical solution of first order initial value problems using a self-starting implicit two-step Obrechkoff-type block method
title_full Numerical solution of first order initial value problems using a self-starting implicit two-step Obrechkoff-type block method
title_fullStr Numerical solution of first order initial value problems using a self-starting implicit two-step Obrechkoff-type block method
title_full_unstemmed Numerical solution of first order initial value problems using a self-starting implicit two-step Obrechkoff-type block method
title_sort numerical solution of first order initial value problems using a self-starting implicit two-step obrechkoff-type block method
publisher Science Publications
publishDate 2016
url http://repo.uum.edu.my/22318/1/JMS%2012%202%20%202016%20%20127%20134.pdf
http://repo.uum.edu.my/22318/
http://doi.org/10.3844/jmssp.2016.127.134
_version_ 1644283484484665344
score 13.18916

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