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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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 |
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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 |
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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. |
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Article |
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Omar, Zurni Adeyeye, Oluwaseun |
author_facet |
Omar, Zurni Adeyeye, Oluwaseun |
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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 |
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1644283484484665344 |
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13.18916 |