Non-perturbative solution of three-dimensional Navier-Stokes equations for the flow near an infinite rotating disk

被引：4

作者：

Yildirim, Ahmet ^{[1
]}

Sezer, Sefa Anil ^{[1
]}

机构：

[1] Ege Univ, Dept Math, Fac Sci, TR-35100 Bornova, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 11期

关键词：

Homotopy perturbation method; Navier-Stokes equations; Pade technique; HOMOTOPY-PERTURBATION METHOD; ASYMPTOTIC METHODS;

D O I：

10.1002/mma.1246

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present Homotopy perturbation method (HPM) and Pade technique, for finding non-perturbative solution of three-dimensional viscous flow near an infinite rotating disk. We compared our solution with the numerical solution (fourth-order Runge-Kutta). The results show that the HPM-Pade technique is an appropriate method in solving the systems of nonlinear equations. The mathematical technique employed in this paper is significant in studying some other problems of engineering. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

页码：1298 / 1305

页数：8

共 28 条

[1] Application of the Homotopy Perturbation Method to the Modified Regularized Long-Wave Equation [J].

Achouri, Talha ;

Omrani, Khaled .

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (02) :399-411

[2]

Ates I, 2009, INT J NONLIN SCI NUM, V10, P877

[3] Some notes on using the homotopy perturbation method for solving time-dependent differential equations [J].

Babolian, E. ;

Azizi, A. ;

Saeidian, J. .

MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (1-2) :213-224

[4] Homotopy-perturbation method for pure nonlinear differential equation [J].

Cveticanin, L. .

CHAOS SOLITONS & FRACTALS, 2006, 30 (05) :1221-1230

[5] Solution of a partial differential equation subject to temperature overspecification by He's homotopy perturbation method [J].

Dehghan, Mehdi ;

Shakeri, Fatemeh .

PHYSICA SCRIPTA, 2007, 75 (06) :778-787

[6]

GHANMI I, 2009, COMMUNICATION NUMERI, DOI DOI 10.1002/CNM.1308

[7] The homotopy perturbation method for nonlinear oscillators with discontinuities [J].

He, JH .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (01) :287-292

[8] Homotopy perturbation method for bifurcation of nonlinear problems [J].

He, JH .

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2005, 6 (02) :207-208

[9] A coupling method of a homotopy technique and a perturbation technique for non-linear problems [J].

He, JH .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2000, 35 (01) :37-43

[10] An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering [J].

He, Ji-Huan .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2008, 22 (21) :3487-3578

← 1 2 3 →