Solution for the nonlinear relativistic harmonic oscillator via Laplace-Adomian decomposition method

DOI10.1007/s40819-016-0267-3zbMath1397.34151arXiv1606.03336OpenAlexW2413431695MaRDI QIDQ1791861

J. A. Santiago, O. González-Gaxiola, Juan Ruiz de Chávez

Publication date: 11 October 2018

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

Full work available at URL: https://arxiv.org/abs/1606.03336

zbMATH Keywords

Laplace transformnonlinear oscillationsnonlinear ordinary differential equationsAdomian polynomialsrelativistic harmonic oscillator

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear ordinary differential operators (34L30)

Related Items (6)

Recent development of Adomian decomposition method for ordinary and partial differential equations ⋮ Nonlinear oscillations of a point charge in the electric field of charged ring using a particular He's frequency-amplitude formulation ⋮ Relativistic potential energy of a non-dissipative classical harmonic oscillator ⋮ Unnamed Item ⋮ Approximate analytical solution of the nonlinear Bethe equation ⋮ Periodic oscillation and bifurcation analysis of pendulum with spinning support using a modified continuous piecewise linearization method

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