Approximate periodic solutions for the non-linear relativistic harmonic oscillator via differential transformation method

被引：34

作者：

Ebaid, Abd El-Halim ^{[1
]}

机构：

[1] Ain Shams Univ, Dept Math, Fac Educ, Cairo, Egypt

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 07期

关键词：

Relativistic harmonic oscillator; Periodic solutions; Differential transformation method; Aftertreatment technique; VIBRATION; BEAMS;

D O I：

10.1016/j.cnsns.2009.07.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The relativistic harmonic oscillator equation is a nonlinear ordinary differential equation given by: + (1 - (x) double over dot(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) over dot(0) = beta. (c) 2009 Elsevier B.V. All rights reserved.

引用

页码：1921 / 1927

页数：7

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