An elementary introduction to the homotopy perturbation method

被引:137
作者
He, Ji-Huan [1 ,2 ]
机构
[1] Donghua Univ, Modern Text Inst, Shanghai 200051, Peoples R China
[2] Nanjing Univ Informat Sci & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China
关键词
Homotopy perturbation method; Parameter-expansion method; Axisymmetric flow; Asymptotic solution; Lindstedt-Poincare method; STRONGLY NONLINEAR OSCILLATORS; LINDSTEDT-POINCARE METHODS; PARAMETER-EXPANSION METHOD; STRETCHING SHEET; EXPANDING METHOD; LIMIT-CYCLE; FLOW; EQUATIONS;
D O I
10.1016/j.camwa.2008.06.003
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is an elementary introduction to the concepts of the homotopy perturbation method. Particular attention is paid to giving an intuitive grasp for the solution procedure throughout the paper. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:410 / 412
页数:3
相关论文
共 19 条
[1]  
[Anonymous], 2006, NONPERTURBATIVE METH
[2]   The three-dimensional flow past a stretching sheet and the homotopy perturbation method [J].
Ariel, P. Donald .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) :920-925
[3]  
Ariel PD, 2006, INT J NONLINEAR SCI, V7, P399
[4]   Application of He's homotopy perturbation method to the Duffing-harmonic oscillator [J].
Belendez, A. ;
Hernandez, A. ;
Belendez, T. ;
Fernandez, E. ;
Alvarez, M. L. ;
Neipp, C. .
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2007, 8 (01) :79-88
[5]   Comment on: "The three-dimensional flow past a stretching sheet and the homotopy perturbation method", by PD Ariel, Computers and Mathematics with Applications 54 (2007) 920-925 [J].
El-Mistikawy, Tarek M. A. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (03) :404-406
[6]  
Ganji DD, 2006, INT J NONLIN SCI NUM, V7, P411
[7]   Modified straightforward expansion [J].
He, JH .
MECCANICA, 1999, 34 (04) :287-289
[8]  
He JH, 2001, INT J NONLIN SCI NUM, V2, P317, DOI 10.1515/IJNSNS.2001.2.4.317
[9]   Modified Lindstedt-Poincare methods for some strongly non-linear oscillations Part I: expansion of a constant [J].
He, JH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2002, 37 (02) :309-314
[10]   Modified Lindstedt-Poincare methods for some strongly non-linear oscillations Part II: a new transformation [J].
He, JH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2002, 37 (02) :315-320