Homotopy perturbation method for solving boundary value problems

被引：832
作者：
He, JH [1 ]
机构：
[1] Donghua Univ, Coll Sci, Shanghai 200051, Peoples R China
来源：
PHYSICS LETTERS A | 2006年 / 350卷 / 1-2期
关键词：
D O I：
10.1016/j.physleta.2005.10.005
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Homotopy perturbation method is applied to nonlinear boundary value problems. Comparison of the result obtained by the present method with that obtained by Adomian method [A.M. Wazwaz, Found. Phys. Lett. 13 (2000) 493] reveals that the present method is very effective and convenient. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：87 / 88
页数：2
相关论文
共 15 条
[1]  
Abassy TA, 2004, INT J NONLIN SCI NUM, V5, P327
[2]   Variational iteration method for solving Burger's and coupled Burger's equations [J].
Abdou, MA ;
Soliman, AA .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 181 (02) :245-251
[3]  
[Anonymous], 1997, Comm. Nonlinear Sci. Numer. Simul.
[4]  
[Anonymous], 2006, PERTURBATION METHODS
[5]   The use of adomian decomposition method for solving the regularized long-wave equation [J].
El-Danaf, TS ;
Ramadan, MA ;
Alaal, FEIA .
CHAOS SOLITONS & FRACTALS, 2005, 26 (03) :747-757
[6]  
El-Sayed SM, 2004, INT J NONLIN SCI NUM, V5, P105
[7]  
El-Shahed M, 2005, INT J NONLIN SCI NUM, V6, P163
[8]   Variational iteration method - a kind of non-linear analytical technique: Some examples [J].
He, JH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) :699-708
[9]   Homotopy perturbation method for bifurcation of nonlinear problems [J].
He, JH .
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2005, 6 (02) :207-208
[10]   Application of homotopy perturbation method to nonlinear wave equations [J].
He, JH .
CHAOS SOLITONS & FRACTALS, 2005, 26 (03) :695-700
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