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

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

PDF - Published Version Restricted to Repository staff only Download (99kB) | Request a copy

Abstract

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.

Item Type:	Article (Journal)
Additional Information:	5807/44788
Uncontrolled Keywords:	Singular oscillator; Plasma physics; Conservative systems; Harmonic balance method; Power series solution
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	22 Sep 2015 10:27
Last Modified:	14 Mar 2016 18:33
URI:	http://irep.iium.edu.my/id/eprint/44788

Actions (login required)

View Item