Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola

In the present paper, a novel analytical technique to obtain higher-order approximate solutions for the equation of motion of a particle on a rotating parabola has been introduced, which is based on an energy balance method (EBM). The results are valid for small as well as large oscillation of ini...

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Main Authors:	Chowdhury, Md. Sazzad Hossien, Hosen, Md Alal, Ali, Mohammad Yeakub, Ismail, Ahmad Faris
Format:	Conference or Workshop Item
Language:	English English
Published:	American Institute of Physics 2017
Subjects:	QA297 Numerical Analysis
Online Access:	http://irep.iium.edu.my/61797/ http://irep.iium.edu.my/61797/ http://irep.iium.edu.my/61797/ http://irep.iium.edu.my/61797/1/AIP%20Conference%20Proceedings%20UKM2017-Rotating%20Parabola_EBM.pdf http://irep.iium.edu.my/61797/7/61797_higher-order%20analytical%20solutions_scopus.pdf

id	iium-61797
recordtype	eprints
spelling	iium-617972018-02-03T09:43:00Z http://irep.iium.edu.my/61797/ Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola Chowdhury, Md. Sazzad Hossien Hosen, Md Alal Ali, Mohammad Yeakub Ismail, Ahmad Faris QA297 Numerical Analysis In the present paper, a novel analytical technique to obtain higher-order approximate solutions for the equation of motion of a particle on a rotating parabola has been introduced, which is based on an energy balance method (EBM). The results are valid for small as well as large oscillation of initial amplitude. It is highly remarkable that using the introduced technique a third-order approximate solution gives an excellent agreement with the exact ones. The introduced technique is applied to the motion of a particle on a rotating parabola having high nonlinearity to illustrate its novelty, reliability and wider applicability. American Institute of Physics 2017 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/61797/1/AIP%20Conference%20Proceedings%20UKM2017-Rotating%20Parabola_EBM.pdf application/pdf en http://irep.iium.edu.my/61797/7/61797_higher-order%20analytical%20solutions_scopus.pdf Chowdhury, Md. Sazzad Hossien and Hosen, Md Alal and Ali, Mohammad Yeakub and Ismail, Ahmad Faris (2017) Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola. In: 4th International Conference on Mathematical Sciences, 15-17 Nov 2016, Putrajaya, Malaysia. http://dx.doi.org/10.1063/1.4980866 doi: 10.1063/1.4980866
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA297 Numerical Analysis
spellingShingle	QA297 Numerical Analysis Chowdhury, Md. Sazzad Hossien Hosen, Md Alal Ali, Mohammad Yeakub Ismail, Ahmad Faris Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola
description	In the present paper, a novel analytical technique to obtain higher-order approximate solutions for the equation of motion of a particle on a rotating parabola has been introduced, which is based on an energy balance method (EBM). The results are valid for small as well as large oscillation of initial amplitude. It is highly remarkable that using the introduced technique a third-order approximate solution gives an excellent agreement with the exact ones. The introduced technique is applied to the motion of a particle on a rotating parabola having high nonlinearity to illustrate its novelty, reliability and wider applicability.
format	Conference or Workshop Item
author	Chowdhury, Md. Sazzad Hossien Hosen, Md Alal Ali, Mohammad Yeakub Ismail, Ahmad Faris
author_facet	Chowdhury, Md. Sazzad Hossien Hosen, Md Alal Ali, Mohammad Yeakub Ismail, Ahmad Faris
author_sort	Chowdhury, Md. Sazzad Hossien
title	Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola
title_short	Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola
title_full	Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola
title_fullStr	Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola
title_full_unstemmed	Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola
title_sort	higher-order analytical solutions for the equation of motion of a particle on a rotating parabola
publisher	American Institute of Physics
publishDate	2017
url	http://irep.iium.edu.my/61797/ http://irep.iium.edu.my/61797/ http://irep.iium.edu.my/61797/ http://irep.iium.edu.my/61797/1/AIP%20Conference%20Proceedings%20UKM2017-Rotating%20Parabola_EBM.pdf http://irep.iium.edu.my/61797/7/61797_higher-order%20analytical%20solutions_scopus.pdf
first_indexed	2023-09-18T21:27:38Z
last_indexed	2023-09-18T21:27:38Z
_version_	1777412298590126080

Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola

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