Solutions of non-linear oscillators by the modified differential transform method

被引：87

作者：

Momani, Shaher ^{[2
]}

Ertuerk, Vedat Suat ^{[1
]}

机构：

[1] Mutah Univ, Dept Math, Al Karak, Jordan

[2] Ondokuz Mayis Univ, Fac Arts & Sci, Dept Math, TR-55139 Samsun, Turkey

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 55卷 / 04期

关键词：

non-linear oscillators; differential transform method; Laplace transform; pade approximants; approximate analytical solution;

D O I：

10.1016/j.camwa.2007.05.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical method for solving nonlinear oscillators is proposed. The proposed scheme is based on the differential transform method (DTM), Laplace transform and Pade approximants. The modified differential transform method (MDTM) technique introduces an alternative framework designed to overcome the difficulty of capturing the periodic behavior of the Solution, which is characteristic of oscillator equations, and give a good approximation to the true solution in a very large region. The numerical results demonstrate the validity and applicability of the new technique and a comparison is made with existing results. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：833 / 842

页数：10

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