Modified solutions of some oscillators by iteration procedure

DOI10.1016/j.joems.2013.02.003zbMath1284.34021OpenAlexW2045527560MaRDI QIDQ392256

B. M. Ikramul Haque, Md. Majedur Rahman, Md. Shamsul Alam

Publication date: 13 January 2014

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2013.02.003

zbMATH Keywords

nonlinearityoscillationsiteration procedurenonperturbative method

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (2)

An effective solution of the cube-root truly nonlinear oscillator: extended iteration procedure ⋮ Parametric disorder effects on a subcritical stationary bifurcation under nonlinear gradient term

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of a time fractional wave-like equation with the homotopy analysis method
• A new analytical technique to find periodic solutions of non-linear systems
• Application of a modified He's homotopy perturbation method to obtain higher-order approximations of an \(x^{1/3}\) force nonlinear oscillator
• Application of a modified He's homotopy perturbation method to obtain higher-order approximations to a nonlinear oscillator with discontinuities
• An analytic approximate technique for free oscillations of positively damped systems with algebraically decaying amplitude
• Nonlinear oscillator with discontinuity by generalized harmonic balance method
• An analytical approximate technique for a class of strongly non-linear oscillators
• Iteration procedure for determining approximate solutions to non-linear oscillator equations
• A modified method of equivalent linearization that works even when the non-linearity is not small
• MODIFIED MICKENS PROCEDURE FOR CERTAIN NON-LINEAR OSCILLATORS
• A convolution integral method for certain strongly nonlinear oscillators
• A classical iteration procedure valid for certain strongly nonlinear oscillators
• A generalized iteration procedure for calculating approximations to periodic solutions of “truly nonlinear oscillators”
• Harmonic balance approach to limit cycles for nonlinear jerk equations
• Solutions of the Duffing-harmonic oscillator by an iteration procedure
• Solutions of a quadratic nonlinear oscillator: Iteration procedure
• Modified Lindsted-Poincare Methods For Some Strongly Nonlinear Oscillations Part III : Double Series Expansion

This page was built for publication: Modified solutions of some oscillators by iteration procedure