An accurate closed-form approximate solution for the quintic Duffing oscillator equation

DOI10.1016/j.mcm.2010.04.010zbMath1201.34019OpenAlexW2140726008MaRDI QIDQ611814

Sumit K. Garg

Publication date: 14 December 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10045/14978

zbMATH Keywords

Chebyshev polynomialsapproximate solutionsnonlinear oscillatorquintic Duffing equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for ordinary differential equations (65L99)

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Cites Work

• Unnamed Item
• An explicit approximate solution to the Duffing-harmonic oscillator by a cubication method
• Newton-harmonic balancing approach for accurate solutions to nonlinear cubic-quintic duffing oscillators
• On Linstedt-Poincaré techniques for the quintic Duffing equation
• ``Cubication of non-linear oscillators using the principle of harmonic balance
• Cubication of conservative nonlinear oscillators
• An Approximate Equivalent Linearization Technique for Nonlinear Oscillations
• Determination of the Period of Nonlinear Oscillations by Means of Chebyshev Polynomials
• Letter to the Editor

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