Solution of excited non-linear oscillators under damping effects using the modified differential transform method

DOI10.3390/math4010011zbMath1346.34017OpenAlexW2288637317MaRDI QIDQ272123

Hassan Abdelhafez

Publication date: 20 April 2016

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math4010011

zbMATH Keywords

Laplace transformPadé approximantforced Duffing oscillatorforced van der Pol oscillatorsemi-analytical solution

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

Optimal analytical and numerical approximations to the (un)forced (un)damped parametric pendulum oscillator ⋮ Solution of nonlinear ordinary differential equations with quadratic and cubic terms by Morgan-Voyce matrix-collocation method ⋮ Uncertainties in the periodic solution of a truly non-linear oscillator differential equation using MDTM

Cites Work

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• The differential transform method and Padé approximants for a fractional population growth model
• Balthazar Van Der Pol
• NEW ANALYTICAL SOLUTION OF THE THREE-DIMENSIONAL NAVIER–STOKES EQUATIONS
• Averaging methods in nonlinear dynamical systems

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