Application of homotopy-perturbation to non-linear partial differential equations

被引：21

作者：

Cveticanin, L. ^{[1
]}

机构：

[1] Fac Tech Sci Novi Sad, Novi Sad 21000, Serbia

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 01期

关键词：

VARIATIONAL ITERATION METHOD; LONGITUDINAL VIBRATIONS; NORMAL-MODES; INTEGRAL-EQUATIONS; CONTINUOUS SYSTEMS; OSCILLATORS; BEAM;

D O I：

10.1016/j.chaos.2007.07.053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper He's homotopy perturbation method has been adopted for solving non-linear partial differential equations. An approximate solution of the differential equation which describes the longitudinal vibration of it beam is obtained. The solution is compared with that found using the variational iteration method introduced by He. The difference between the two solutions is negligible. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：221 / 228

页数：8

共 35 条

[31] AN INVARIANT MANIFOLD APPROACH TO NONLINEAR NORMAL-MODES OF OSCILLATION [J].

SHAW, SW .

JOURNAL OF NONLINEAR SCIENCE, 1994, 4 (05) :419-448

[32] Explicit series solution of travelling waves with a front of Fisher equation [J].

Tan, Yue ;

Xu, Hang ;

Liao, Shi-Jun .

CHAOS SOLITONS & FRACTALS, 2007, 31 (02) :462-472

[33]

von Wagner U, 2004, INT J NONLIN MECH, V39, P673, DOI [10.1016/S0020-7462(03)00108-2, 10.1016/S0020-7462(02)00108-2]

[34] Non-linear longitudinal vibrations of piezoceramics excited by weak electric fields [J].

von Wagner, U .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2003, 38 (04) :565-574

[35] Homotopy perturbation method for fractional KdV-Burgers equation [J].

Wang, Qi .

CHAOS SOLITONS & FRACTALS, 2008, 35 (05) :843-850

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