Title of article
Approximate periodic solutions for the non-linear relativistic harmonic oscillator via differential transformation method
Author/Authors
Ebaid، نويسنده , , Abd El-Halim، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
7
From page
1921
To page
1927
Abstract
The relativistic harmonic oscillator equation is a nonlinear ordinary differential equation given by: x ¨ + ( 1 - x ˙ 2 ) 3 / 2 x = 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 .
Keywords
Periodic Solutions , Aftertreatment technique , Relativistic harmonic oscillator , Differential Transformation Method
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2010
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1535150
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