Solution for a conservative nonlinear singular oscillator in plasma physics using harmonic balance method

In this article, an analytical technique has been developed to determine approximate solutions of nonlinear singular oscillator. Usually, a set of nonlinear algebraic equations is solved in analytical approximate method. However, analytical solutions of these algebraic equations are not always po...

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Main Authors:	Hosen, Md. Alal, Chowdhury, Md. Sazzad Hossien, Akbar, M. Ali
Format:	Article
Language:	English
Published:	Kaerntner Botanikzentrum, Klagenfurt, Austria 2015
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/44788/ http://irep.iium.edu.my/44788/1/Solution_for_a_Conservative_Nonlinear_Singular_Oscillator_in_Plasma_Physics_Using_Harmonic_Balance_Method-Published.pdf

id	iium-44788
recordtype	eprints
spelling	iium-447882016-03-14T10:33:32Z http://irep.iium.edu.my/44788/ Solution for a conservative nonlinear singular oscillator in plasma physics using harmonic balance method Hosen, Md. Alal Chowdhury, Md. Sazzad Hossien Akbar, M. Ali QA Mathematics In this article, an analytical technique has been developed to determine approximate solutions of nonlinear singular oscillator. Usually, a set of nonlinear algebraic equations is solved in analytical approximate method. However, analytical solutions of these algebraic equations are not always possible, especially in the case of a large oscillation. In this article, different small parameters of the same nonlinear problems are found, for which the parameter based power series solution to these nonlinear algebraic equations give the desired results even for the large oscillation. The method is illustrated by singular oscillator, but it is also useful for many other nonlinear problems. Kaerntner Botanikzentrum, Klagenfurt, Austria 2015-03 Article PeerReviewed application/pdf en http://irep.iium.edu.my/44788/1/Solution_for_a_Conservative_Nonlinear_Singular_Oscillator_in_Plasma_Physics_Using_Harmonic_Balance_Method-Published.pdf Hosen, Md. Alal and Chowdhury, Md. Sazzad Hossien and Akbar, M. Ali (2015) Solution for a conservative nonlinear singular oscillator in plasma physics using harmonic balance method. Wulfenia Journal, 22 (3). pp. 416-424. ISSN 1561-882X
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Hosen, Md. Alal Chowdhury, Md. Sazzad Hossien Akbar, M. Ali Solution for a conservative nonlinear singular oscillator in plasma physics using harmonic balance method
description	In this article, an analytical technique has been developed to determine approximate solutions of nonlinear singular oscillator. Usually, a set of nonlinear algebraic equations is solved in analytical approximate method. However, analytical solutions of these algebraic equations are not always possible, especially in the case of a large oscillation. In this article, different small parameters of the same nonlinear problems are found, for which the parameter based power series solution to these nonlinear algebraic equations give the desired results even for the large oscillation. The method is illustrated by singular oscillator, but it is also useful for many other nonlinear problems.
format	Article
author	Hosen, Md. Alal Chowdhury, Md. Sazzad Hossien Akbar, M. Ali
author_facet	Hosen, Md. Alal Chowdhury, Md. Sazzad Hossien Akbar, M. Ali
author_sort	Hosen, Md. Alal
title	Solution for a conservative nonlinear singular oscillator in plasma physics using harmonic balance method
title_short	Solution for a conservative nonlinear singular oscillator in plasma physics using harmonic balance method
title_full	Solution for a conservative nonlinear singular oscillator in plasma physics using harmonic balance method
title_fullStr	Solution for a conservative nonlinear singular oscillator in plasma physics using harmonic balance method
title_full_unstemmed	Solution for a conservative nonlinear singular oscillator in plasma physics using harmonic balance method
title_sort	solution for a conservative nonlinear singular oscillator in plasma physics using harmonic balance method
publisher	Kaerntner Botanikzentrum, Klagenfurt, Austria
publishDate	2015
url	http://irep.iium.edu.my/44788/ http://irep.iium.edu.my/44788/1/Solution_for_a_Conservative_Nonlinear_Singular_Oscillator_in_Plasma_Physics_Using_Harmonic_Balance_Method-Published.pdf
first_indexed	2023-09-18T21:03:40Z
last_indexed	2023-09-18T21:03:40Z
_version_	1777410790360350720

Solution for a conservative nonlinear singular oscillator in plasma physics using harmonic balance method

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