Optimal Variational Method for Truly Nonlinear Oscillators

被引：2

作者：

Marinca, Vasile ^{[1
,2
]}

Herisanu, Nicolae ^{[1
,2
]}

机构：

[1] Politehn Univ Timisoara, Fac Mech Engn, Timisoara 300222, Romania

[2] Romanian Acad, Ctr Adv Res Engn Sci, Timisoara Branch, Timisoara 300223, Romania

来源：

JOURNAL OF APPLIED MATHEMATICS | 2013年

关键词：

PERIODIC-SOLUTIONS;

D O I：

10.1155/2013/620267

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Optimal Variational Method (OVM) is introduced and applied for calculating approximate periodic solutions of "truly nonlinear oscillators". The main advantage of this procedure consists in that it provides a convenient way to control the convergence of approximate solutions in a very rigorous way and allows adjustment of convergence regions where necessary. This approach does not depend upon any small or large parameters. A very good agreement was found between approximate and numerical solution, which proves that OVM is very efficient and accurate.

引用

页数：6

共 15 条

[1] A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS [J].