Article ID Journal Published Year Pages File Type
759078 Communications in Nonlinear Science and Numerical Simulation 2010 7 Pages PDF
Abstract

The relativistic harmonic oscillator equation is a nonlinear ordinary differential equation given by: x¨+(1-x˙2)3/2x=0. In this paper, the differential transformation method (DTM) and a relatively new technique, known as aftertreatment technique, are proposed to obtain new approximate periodic solutions for the relativistic harmonic oscillator equation under the initial conditions x(0)=0,x˙(0)=β.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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