On the determination of approximate periodic solutions of some non-linear ODE

DOI10.1016/j.amc.2011.11.085zbMath1246.65112OpenAlexW2082084116MaRDI QIDQ434629

L. P. Lara, Manuel Gadella

Publication date: 16 July 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.085

zbMATH Keywords

comparison of methodsperiodic solutionsnumerical examplesdifferential transformation methodPadé approximantsharmonic balance methodrelativistic oscillatornumerical-symbolic method

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

Application of the elliptic balance method to a nonlinear singular oscillator

Cites Work

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• Approximate periodic solutions for the non-linear relativistic harmonic oscillator via differential transformation method
• On the variational iteration method and other iterative techniques for nonlinear differential equations
• Periodic motions
• A new algorithm for calculating one-dimensional differential transform of nonlinear functions
• On the Picard-Lindelöf method for nonlinear second-order differential equations
• Iteration procedure for determining approximate solutions to non-linear oscillator equations
• Harmonic balance/Galerkin method for non-smooth dynamic systems
• SOME ADVANCES OF THE HARMONIC BALANCE METHOD
• PERIODIC SOLUTIONS OF THE RELATIVISTIC HARMONIC OSCILLATOR

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