Higher accuracy analytical approximations to nonlinear oscillators with discontinuity by energy balance method

Higher accuracy analytical approximations to nonlinear oscillators with discontinuity by energy balance method

A modified energy balance method (EBM) has been presented to obtain higher-order approximate periodic solutions from the integral expression (i.e., first order differential equation) of some nonlinear oscillators. It has been shown that the method is more effective than the classical EBM as well as...

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Main Authors: M. Helal Uddin Molla, M.S. Alam
Format: Article
Language:English
Published: Elsevier 2017-01-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S221137971730709X
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spelling doaj-7ff5a6ed4a4445ef92ba696bc533f0882020-11-25T00:51:39ZengElsevierResults in Physics2211-37972017-01-01721042110Higher accuracy analytical approximations to nonlinear oscillators with discontinuity by energy balance methodM. Helal Uddin Molla0M.S. Alam1Corresponding author.; Department of Mathematics, Rajshahi University of Engineering and Technology (RUET), Kazla, Rajshahi 6204, BangladeshDepartment of Mathematics, Rajshahi University of Engineering and Technology (RUET), Kazla, Rajshahi 6204, BangladeshA modified energy balance method (EBM) has been presented to obtain higher-order approximate periodic solutions from the integral expression (i.e., first order differential equation) of some nonlinear oscillators. It has been shown that the method is more effective than the classical EBM as well as some recently developed approaches such as homotopy perturbation method, harmonic balance method and iterative method. Keywords: Energy balance method, Perturbation method, Nonlinear oscillators, Constant force oscillatorhttp://www.sciencedirect.com/science/article/pii/S221137971730709X
collection DOAJ
language English
format Article
sources DOAJ
author M. Helal Uddin Molla
M.S. Alam
spellingShingle M. Helal Uddin Molla
M.S. Alam
Higher accuracy analytical approximations to nonlinear oscillators with discontinuity by energy balance method
Results in Physics
author_facet M. Helal Uddin Molla
M.S. Alam
author_sort M. Helal Uddin Molla
title Higher accuracy analytical approximations to nonlinear oscillators with discontinuity by energy balance method
title_short Higher accuracy analytical approximations to nonlinear oscillators with discontinuity by energy balance method
title_full Higher accuracy analytical approximations to nonlinear oscillators with discontinuity by energy balance method
title_fullStr Higher accuracy analytical approximations to nonlinear oscillators with discontinuity by energy balance method
title_full_unstemmed Higher accuracy analytical approximations to nonlinear oscillators with discontinuity by energy balance method
title_sort higher accuracy analytical approximations to nonlinear oscillators with discontinuity by energy balance method
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2017-01-01
description A modified energy balance method (EBM) has been presented to obtain higher-order approximate periodic solutions from the integral expression (i.e., first order differential equation) of some nonlinear oscillators. It has been shown that the method is more effective than the classical EBM as well as some recently developed approaches such as homotopy perturbation method, harmonic balance method and iterative method. Keywords: Energy balance method, Perturbation method, Nonlinear oscillators, Constant force oscillator
url http://www.sciencedirect.com/science/article/pii/S221137971730709X
work_keys_str_mv AT mhelaluddinmolla higheraccuracyanalyticalapproximationstononlinearoscillatorswithdiscontinuitybyenergybalancemethod
AT msalam higheraccuracyanalyticalapproximationstononlinearoscillatorswithdiscontinuitybyenergybalancemethod
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