New Analytic Solution of Von Karman Swirling Viscous Flow

被引:0
作者
M. A. Abdou
机构
[1] Mansoura University,Theoretical Research Group, Physics Department, Faculty of Science
[2] King Kahlid University,Faculty of Education for Girls, Physics Department
来源
Acta Applicandae Mathematicae | 2010年 / 111卷
关键词
Homotopy perturbation method; Von Karman swirling viscous flow equation; Exact and approximate solutions;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, an analytic method for highly nonlinear problems, namely, homotopy perturbation (HPM) method, is used to solve the Von Karman swirling viscous flow, governed by a set of two fully coupled differential equations with strong nonlinearity. An explicit, purely analytic and uniformly valid solution is given. Comparison of the results obtained by the method reveals that HPM is more effective and easy to use.
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页码:7 / 13
页数:6
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共 33 条
[1]  
El-Wakil S.A.(2007)New exact travelling wave solutions using modified extended tanh-function method Chaos Solitons Fractals 31 840-1264
[2]  
Abdou M.A.(2007)Modified extended tanh-function method for solving nonlinear partial differential equations Chaos Solitons Fractals 31 1256-47
[3]  
El-Wakil S.A.(2006)New solitons and periodic wave solutions for nonlinear evolution equations Phys. Lett. A 353 40-1241
[4]  
Abdou M.A.(2007)Construction of periodic and solitary wave solutions by the extended Jacobi elliptic function expansion method Commun. Nonlinear Sci. Numer. Simul. 12 1229-104
[5]  
El-Wakil S.A.(2007)The extended F-expansion method and its application for nonlinear evolution equations Chaos Solitons Fractals 31 95-1429
[6]  
Abdou M.A.(2007)New periodic solutions for nonlinear evolution equations using Exp function method Chaos Solitons Fractals 34 1421-11
[7]  
Elhanbaly A.(2009)New periodic wave solutions via extended mapping method Commun. Nonlinear Sci. Numer. Simul. 14 2-215
[8]  
Abdou M.A.(2008)New explicit exact solutions of nonlinear evolution equations using the generalized auxiliary equation method combined with Exp-function method Int. J. Nonlinear Sci. 6 208-9
[9]  
Elhanbaly A.(2008)Generalized solitary and periodic solutions for nonlinear partial differential equations by the Exp-function method Nonlinear Dyn. 52 1-9
[10]  
Abdou M.A.(2008)New applications of the homotopy analysis method Z. Naturforsch. 63A 1-68