Compare of analytic and numerical solution of parametric oscillator with perturbation and its analytical solution

Compare of analytic and numerical solution of parametric oscillator with perturbation and its analytical solution

Pavol, Oršanský;Branislav, Ftorek;
matec web of conferences 2019 Vol. 254 pp. 08003-
175
pavol2019comparematec

Abstract

In this paper we deal with an approximative analytical solution of a second order differential equation with a fast time periodic modulation. We use for this type of the equation a homotopy perturbation method. The validity of this approximative solution is verified by numerical experiments, where we achieve considerable consistency of doth soliutions.

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