Comparison of two iteration procedures for a class of nonlinear jerk equations

DOI10.1007/S00707-012-0723-ZzbMath1356.65170OpenAlexW1983642353MaRDI QIDQ359481

Mohammad Hasan, M. Dambrine

Publication date: 12 August 2013

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-012-0723-z

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

Limit cycle analysis of nonsmooth aeroelastic system of an airfoil by extended variational iteration method

Cites Work

• Perturbation method for periodic solutions of nonlinear jerk equations
• Iteration calculations of periodic solutions to nonlinear jerk equations
• Approximate methods based on order reduction for the periodic solutions of nonlinear third-order ordinary differential equations
• Analytical and approximate solutions to autonomous, nonlinear, third-order ordinary differential equations
• A Volterra integral formulation for determining the periodic solutions of some autonomous, nonlinear, third-order ordinary differential equations
• Harmonic balance approach to periodic solutions of non-linear jerk equations
• MODIFIED MICKENS PROCEDURE FOR CERTAIN NON-LINEAR OSCILLATORS
• A generalized iteration procedure for calculating approximations to periodic solutions of “truly nonlinear oscillators”
• Iteration method solutions for conservative and limit-cycle force oscillators

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