An optimal iteration method for strongly nonlinear oscillators

DOI10.1155/2012/906341zbMath1235.65098OpenAlexW2071373094WikidataQ58906921 ScholiaQ58906921MaRDI QIDQ411130

Nicolae Herişanu, Vasile Marinca

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/906341

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for ordinary differential equations (65L99)

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Cites Work

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• An artificial parameter-Linstedt-Poincaré method for oscillators with smooth odd nonlinearities
• A simple approach to nonlinear oscillators
• Application of the variational iteration method to some nonlinear one-dimensional oscillations
• Homotopy perturbation technique
• Determination of periodic solutions for nonlinear oscillators with fractional powers by He's modified Lindstedt-Poincaré method
• Linearized Galerkin and artificial parameter techniques for the determination of periodic solutions of nonlinear oscillators
• Iteration Perturbation Method for Strongly Nonlinear Oscillations
• A method for obtaining approximate analytic periods for a class of nonlinear oscillators

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