Solution for an anti-symmetric quadratic nonlinear oscillator by a modified He's homotopy perturbation method
type: Item
instance of: scholarly article
title: Solution for an anti-symmetric quadratic nonlinear oscillator by a modified He's homotopy perturbation method
zbMATH Open document ID: 1154.65349
author: J. Martínez
published in: Nonlinear Analysis. Real World Applications
publication date: 2009-02-27T00:00:00Z
full work available at URL: http://hdl.handle.net/10045/9204
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 5520208
zbMATH Keywords: nonlinear oscillator
zbMATH Keywords: approximate solutions
zbMATH Keywords: homotopy perturbation method
MaRDI profile type: Publication
OpenAlex ID: W2137653426
cites work: A NEW PERTURBATION TECHNIQUE WHICH IS ALSO VALID FOR LARGE PARAMETERS
cites work: Modified Lindsted-Poincare Methods For Some Strongly Nonlinear Oscillations Part III : Double Series Expansion
cites work: Determination of periodic solution for a \(u^{1/3}\) force by He's modified Lindstedt-Poincaré method
cites work: Alternative perturbation approaches in classical mechanics
cites work: Q4857776
cites work: On period doubling bifurcations of cycles and the harmonic balance method
cites work: Construction of solitary solution and compacton-like solution by variational iteration method
cites work: Variational approach for nonlinear oscillators
cites work: The use of He's variational iteration method for solving a Fokker–Planck equation
cites work: Solution of problems in calculus of variations via He's variational iteration method
cites work: Numerical simulation of the generalized Huxley equation by He's variational iteration method
cites work: Application of the homotopy perturbation method to the nonlinear pendulum
cites work: He's frequency formulation for nonlinear oscillators
cites work: He's parameter-expanding methods for strongly nonlinear oscillators
cites work: SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
cites work: The homotopy perturbation method for nonlinear oscillators with discontinuities.
cites work: Homotopy-perturbation method for pure nonlinear differential equation
cites work: Application of He's homotopy perturbation method for Laplace transform
cites work: Couette and Poiseuille flows for non-Newtonian fluids
cites work: Homotopy perturbation method for solving boundary value problems
cites work: The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
cites work: Application of homotopy-perturbation method to nonlinear population dynamics models
cites work: Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method
cites work: Solutions of a class of singular second-order IVPs by homotopy-perturbation method
cites work: Inverse problem of diffusion equation by He's homotopy perturbation method
cites work: Solution of a partial differential equation subject to temperature overspecification by He's homotopy perturbation method
cites work: Application of homotopy-perturbation to non-linear partial differential equations
cites work: Application of a modified He's homotopy perturbation method to obtain higher-order approximations of an \(x^{1/3}\) force nonlinear oscillator
cites work: Application of generalized harmonic balance to an anti-symmetric quadratic non-linear oscillator
cites work: Q3331506
DOI: 10.1016/J.NONRWA.2007.10.002
description: scientific article; zbMATH DE number 5520208