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

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.

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Abstract

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.

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	5807/61797
Subjects:	Q Science > QA Mathematics > QA297 Numerical Analysis
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	UNSPECIFIED
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	03 Feb 2018 17:43
Last Modified:	03 Feb 2018 17:43
URI:	http://irep.iium.edu.my/id/eprint/61797

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