Notes on the optimal variational iteration method

被引:34
作者
He, Ji-Huan [1 ]
机构
[1] Soochow Univ, Natl Engn Lab Modern Silk, Coll Text & Engn, Nantong Text Inst, Suzhou 215123, Peoples R China
基金
中国国家自然科学基金;
关键词
Least squares approximations;
D O I
10.1016/j.aml.2012.01.004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Here, various variational iteration algorithms are compared. An auxiliary parameter can be introduced in the iteration procedure, and can be identified optimally, which results in Turkyilmazoglu's optimal variational iteration method. Some unknown auxiliary parameters can be also included in the initial solution, and can be optimally determined, that is Herişanu and Marinca's optimal variational iteration method. © 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1579 / 1581
页数:3
相关论文
共 12 条
[1]  
[Anonymous], 2010, NONLINEAR SCI LETT A
[2]  
[Anonymous], 2010, NONL SCI LETT
[3]   An Alternative Approach to Differential-Difference Equations Using the Variational Iteration Method [J].
Faraz, Naeem ;
Khan, Yasir ;
Austin, Francis .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (12) :1055-1059
[4]  
He J.-H., 2010, Nonlinear Sci. Lett. A, V1, P1
[5]   Variational iteration method: New development and applications [J].
He, Ji-Huan ;
Wu, Xu-Hong .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) :881-894
[6]   Variational iteration method - Some recent results and new interpretations [J].
He, Ji-Huan .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) :3-17
[7]  
Herisanu N, 2010, Nonlinear Science Letters A, V1, P183
[8]  
Hosseini MM, 2010, INT J NONLIN SCI NUM, V11, P495
[9]   Variational Iteration Method for Nonlinear Age-Structured Population Models Using Auxiliary Parameter [J].
Hosseini, Said Muhammad Mehdi ;
Mohyud-Din, Syed Tauseef ;
Ghaneai, Hussain .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (12) :1137-1142
[10]   Nonlinear dynamic analysis of an electrical machine rotor-bearing system by the optimal homotopy perturbation method [J].
Marinca, V. ;
Herisanu, N. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (08) :2019-2024