An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method

An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method

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In the present paper, a numerical method is proposed for the numerical solution of a coupled-BBM system with appropriate initial and boundary conditions by using collocation method with cubic trigonometric B-spline on the uniform mesh points. The method is shown to be unconditionally stable using vo...

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Bibliographic Details
Main Authors: khalid ali, kamal raslan
Format: Article
Language:English
Published: BİSKA Bilisim Company 2016-11-01
Series:Communication in Mathematical Modeling and Applications
Subjects:
Collocation method
cubic trigonometric B-splines method
coupled-BBM system.
Online Access:http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8217
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spelling doaj-01122e4afd394c5685ea4c3e8949b4542020-11-25T02:41:37ZengBİSKA Bilisim CompanyCommunication in Mathematical Modeling and Applications2528-830X2528-830X2016-11-01135158217An efficient approach to numerical study of the coupled-BBM system with B-spline collocation methodkhalid ali0kamal raslan1department of mathematice al azhar university faculty of scienceAl-Azhar UniversityIn the present paper, a numerical method is proposed for the numerical solution of a coupled-BBM system with appropriate initial and boundary conditions by using collocation method with cubic trigonometric B-spline on the uniform mesh points. The method is shown to be unconditionally stable using von-Neumann technique. To test accuracy the error norms2L, ?L are computed. Furthermore, interaction of two and three solitary waves are used to discuss the effect of the behavior of the solitary waves after the interaction. These results show that the technique introduced here is easy to apply. We make linearization for the nonlinear term.http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8217Collocation methodcubic trigonometric B-splines methodcoupled-BBM system.
collection DOAJ
language English
format Article
sources DOAJ
author khalid ali
kamal raslan
spellingShingle khalid ali
kamal raslan
An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method
Communication in Mathematical Modeling and Applications
Collocation method
cubic trigonometric B-splines method
coupled-BBM system.
author_facet khalid ali
kamal raslan
author_sort khalid ali
title An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method
title_short An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method
title_full An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method
title_fullStr An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method
title_full_unstemmed An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method
title_sort efficient approach to numerical study of the coupled-bbm system with b-spline collocation method
publisher BİSKA Bilisim Company
series Communication in Mathematical Modeling and Applications
issn 2528-830X
2528-830X
publishDate 2016-11-01
description In the present paper, a numerical method is proposed for the numerical solution of a coupled-BBM system with appropriate initial and boundary conditions by using collocation method with cubic trigonometric B-spline on the uniform mesh points. The method is shown to be unconditionally stable using von-Neumann technique. To test accuracy the error norms2L, ?L are computed. Furthermore, interaction of two and three solitary waves are used to discuss the effect of the behavior of the solitary waves after the interaction. These results show that the technique introduced here is easy to apply. We make linearization for the nonlinear term.
topic Collocation method
cubic trigonometric B-splines method
coupled-BBM system.
url http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8217
work_keys_str_mv AT khalidali anefficientapproachtonumericalstudyofthecoupledbbmsystemwithbsplinecollocationmethod
AT kamalraslan anefficientapproachtonumericalstudyofthecoupledbbmsystemwithbsplinecollocationmethod
AT khalidali efficientapproachtonumericalstudyofthecoupledbbmsystemwithbsplinecollocationmethod
AT kamalraslan efficientapproachtonumericalstudyofthecoupledbbmsystemwithbsplinecollocationmethod
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