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New strategy of developing a direct two-step implicit hybrid block method with generalized Two off-step points for third order ordinary differential equations

This paper proposes new strategy in developing a direct two-step implicit hybrid block method with generalized two off-step points for initial value problems (IVPs) of third order ordinary differential equations (ODEs). In this strategy, two off-step points are confined in the second step of two-st...

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Main Authors: Mansor, Kamarun Hizam, Omar, Zurni
Format: Article
Language:English
Published: The Mattingley Publishing Co., Inc. 2018
Subjects:
QA75 Electronic computers. Computer science
Online Access:http://repo.uum.edu.my/27921/1/IJIGS%2012%201%202018%201%20763.pdf
http://repo.uum.edu.my/27921/
http://ijigs.net/archieves/2018/volume-12/issue-01
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spelling my.uum.repo.279212020-11-30T00:42:49Z http://repo.uum.edu.my/27921/ New strategy of developing a direct two-step implicit hybrid block method with generalized Two off-step points for third order ordinary differential equations Mansor, Kamarun Hizam Omar, Zurni QA75 Electronic computers. Computer science This paper proposes new strategy in developing a direct two-step implicit hybrid block method with generalized two off-step points for initial value problems (IVPs) of third order ordinary differential equations (ODEs). In this strategy, two off-step points are confined in the second step of two-step interval. The main continuous schemes are obtained through interpolating approximate solutions in the form of power series at three the grid points while its second derivatives are collocated at all the grid points in the interval. The analysis of the method such as order, zero stability, consistency and convergence are also discussed. It was found that the proposed method outperforms the existing methods. Hence, it can be considered as a viable alternative method to solve the thirdorder of IVPs directly. The Mattingley Publishing Co., Inc. 2018 Article PeerReviewed application/pdf en http://repo.uum.edu.my/27921/1/IJIGS%2012%201%202018%201%20763.pdf Mansor, Kamarun Hizam and Omar, Zurni (2018) New strategy of developing a direct two-step implicit hybrid block method with generalized Two off-step points for third order ordinary differential equations. International Journal of Interdisciplinary Global Studies, 12 (1). pp. 1-11. ISSN 01934120 http://ijigs.net/archieves/2018/volume-12/issue-01
institution Universiti Utara Malaysia
building UUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Utara Malaysia
content_source UUM Institutional Repository
url_provider http://repo.uum.edu.my/
language English
topic QA75 Electronic computers. Computer science
spellingShingle QA75 Electronic computers. Computer science
Mansor, Kamarun Hizam
Omar, Zurni
New strategy of developing a direct two-step implicit hybrid block method with generalized Two off-step points for third order ordinary differential equations
description This paper proposes new strategy in developing a direct two-step implicit hybrid block method with generalized two off-step points for initial value problems (IVPs) of third order ordinary differential equations (ODEs). In this strategy, two off-step points are confined in the second step of two-step interval. The main continuous schemes are obtained through interpolating approximate solutions in the form of power series at three the grid points while its second derivatives are collocated at all the grid points in the interval. The analysis of the method such as order, zero stability, consistency and convergence are also discussed. It was found that the proposed method outperforms the existing methods. Hence, it can be considered as a viable alternative method to solve the thirdorder of IVPs directly.
format Article
author Mansor, Kamarun Hizam
Omar, Zurni
author_facet Mansor, Kamarun Hizam
Omar, Zurni
author_sort Mansor, Kamarun Hizam
title New strategy of developing a direct two-step implicit hybrid block method with generalized Two off-step points for third order ordinary differential equations
title_short New strategy of developing a direct two-step implicit hybrid block method with generalized Two off-step points for third order ordinary differential equations
title_full New strategy of developing a direct two-step implicit hybrid block method with generalized Two off-step points for third order ordinary differential equations
title_fullStr New strategy of developing a direct two-step implicit hybrid block method with generalized Two off-step points for third order ordinary differential equations
title_full_unstemmed New strategy of developing a direct two-step implicit hybrid block method with generalized Two off-step points for third order ordinary differential equations
title_sort new strategy of developing a direct two-step implicit hybrid block method with generalized two off-step points for third order ordinary differential equations
publisher The Mattingley Publishing Co., Inc.
publishDate 2018
url http://repo.uum.edu.my/27921/1/IJIGS%2012%201%202018%201%20763.pdf
http://repo.uum.edu.my/27921/
http://ijigs.net/archieves/2018/volume-12/issue-01
_version_ 1685581072629235712
score 13.211869

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