Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Accurate numerical solutions of conservative nonlinear oscillators

Accurate numerical solutions of conservative nonlinear oscillators Abstract The objective of this paper is to present an investigation to analyze the vibration of a conservative nonlinear oscillator in the form u" + lambda u + u^(2n-1) + (1 + epsilon^2 u^(4m))^(1/2) = 0 for any arbitrary power of n and m. This method converts the differential equation to sets of algebraic equations and solve numerically. We have presented for three different cases: a higher order Duffing equation, an equation with irrational restoring force and a plasma physics equation. It is also found that the method is valid for any arbitrary order of n and m. Comparisons have been made with the results found in the literature the method gives accurate results. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

Accurate numerical solutions of conservative nonlinear oscillators

Download PDF
5 pages

Loading next page...
 
/lp/de-gruyter/accurate-numerical-solutions-of-conservative-nonlinear-oscillators-31tQ0kCkXJ
Publisher
de Gruyter
Copyright
Copyright © 2014 by the
ISSN
2192-8010
eISSN
2192-8029
DOI
10.1515/nleng-2014-0009
Publisher site
See Article on Publisher Site

Abstract

Abstract The objective of this paper is to present an investigation to analyze the vibration of a conservative nonlinear oscillator in the form u" + lambda u + u^(2n-1) + (1 + epsilon^2 u^(4m))^(1/2) = 0 for any arbitrary power of n and m. This method converts the differential equation to sets of algebraic equations and solve numerically. We have presented for three different cases: a higher order Duffing equation, an equation with irrational restoring force and a plasma physics equation. It is also found that the method is valid for any arbitrary order of n and m. Comparisons have been made with the results found in the literature the method gives accurate results.

Journal

Nonlinear Engineering – de Gruyter

Published: Dec 1, 2014

There are no references for this article.