Efficiency of differential transformation method for nonlinear oscillation: Comparison with HPM and VIM

被引：48

作者：

Ghafoori, S. ^{[2
]}

Motevalli, M. ^{[3
]}

Nejad, M. G. ^{[2
]}

Shakeri, F. ^{[2
]}

Ganji, D. D. ^{[2
]}

Jalaal, M. ^{[1
]}

机构：

[1] Univ British Columbia, Sch Engn, Kelowna, BC V1V 1V7, Canada

[2] Babol Univ Technol, Dept Mech Engn, Babol Sar, Iran

[3] Azad Islamic Univ, Cent Tehran Branch, Dept Civil Engn, Tehran, Iran

来源：

CURRENT APPLIED PHYSICS | 2011年 / 11卷 / 04期

关键词：

Differential transform method (DTM); Nonlinear oscillation; Series-based solution; Variation iteration method (VIM); Homotopy perturbation method (HPM); FLOW; CHANNEL;

D O I：

10.1016/j.cap.2010.12.018

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this study, a nonlinear oscillation equation is solved using a series-based analytical method called differential transformation method (DTM). The concept of differential transformation is briefly introduced, and its application for a nonlinear oscillator is studied. The results obtained employing DTM are compared with those achieved by using two other series-based analytical techniques named variation iteration method (VIM) and homotopy perturbation method (HPM) and also an accurate numerical solution to verify the accuracy of the proposed method. As an important result, it is depicted that the DTM results are more accurate in comparison with those obtained by HPM and VIM. After this verification, we analyze the effects of some physical applicable parameters to show the efficiency of DTM for this type of problems. It is shown that inmost cases, DTM is accurate enough; nevertheless some modifications should be applied to enhance the abilities of this technique. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：965 / 971

页数：7

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