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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 - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016, 15-17 Nov 2017, 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: 5807/60719
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering
Depositing User: Prof Dr Ahmad Faris Ismail
Date Deposited: 28 Dec 2017 20:36
Last Modified: 18 Aug 2019 10:58
URI: http://irep.iium.edu.my/id/eprint/60719

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