Generalized decomposition methods for singular oscillators

DOI10.1016/j.chaos.2009.03.006zbMath1198.65152OpenAlexW2003377932MaRDI QIDQ603681

Juan I. Ramos

Publication date: 8 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2009.03.006

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Numerical methods for ordinary differential equations (65L99)

Related Items

Application of the elliptic balance method to a nonlinear singular oscillator, On the solution of strong nonlinear oscillators by applying a rational elliptic balance method, A finite extensibility nonlinear oscillator, Accurate solutions of conservative nonlinear oscillators by the enhanced cubication method, An approximate solution to an initial boundary value problem: Rakib–Sivashinsky equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized decomposition methods for nonlinear oscillators
• Bifurcations and transition phenomena in an impact oscillator.
• Large amplitude non-linear oscillations of a general conservative system
• Series approach to the Lane-Emden equation and comparison with the homotopy perturbation method
• Solving frontier problems of physics: the decomposition method
• A new analytical approach to the Duffing-harmonic oscillator
• Application of He's homotopy perturbation method to conservative truly nonlinear oscillators
• Higher accuracy analytical approximations to the Duffing-harmonic oscillator
• Construction of a perturbation solution for a non-linear, singular oscillator equation
• Accurate approximate solution to nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS