Variational Iteration Method for Burgers' and Coupled Burgers' Equations Using He's Polynomials

被引:11
作者
Mohyud-Din, Syed Tauseef [1 ]
Noor, Muhammad Aslam [2 ]
Noor, Khalida Inayat [2 ]
机构
[1] HITEC Univ, Taxila Cantt, Pakistan
[2] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
来源
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2010年 / 65卷 / 04期
关键词
Modified Variational Iteration Method; He's Polynomials; Burgers' Equations; HOMOTOPY PERTURBATION METHOD; HEAT;
D O I
10.1515/zna-2010-0401
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
In this paper, we apply a modified version of the variational iteration method (MVIM) for solving Burgers' and coupled Burgers' equations. The proposed modification is made by introducing He's polynomials in the correction functional of the variational iteration method (VIM). The use of Lagrange multiplier coupled with He's polynomials are the clear advantages of this technique over the decomposition method.
引用
收藏
页码:263 / 267
页数:5
相关论文
共 28 条
[11]   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
[12]  
He JH, 2008, TOPOL METHOD NONL AN, V31, P205
[13]   The variational iteration method for eighth-order initial-boundary value problems [J].
He, Ji-Huan .
PHYSICA SCRIPTA, 2007, 76 (06) :680-682
[14]   Variational iteration method: New development and applications [J].
He, Ji-Huan ;
Wu, Xu-Hong .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) :881-894
[15]   Variational iteration method - Some recent results and new interpretations [J].
He, Ji-Huan .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) :3-17
[16]   Some asymptotic methods for strongly nonlinear equations [J].
He, Ji-Huan .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2006, 20 (10) :1141-1199
[17]  
Mohyud-Din ST, 2009, INT J NONLIN SCI NUM, V10, P227
[18]   Modified Variational Iteration Method for Heat and Wave-Like Equations [J].
Noor, Muhammad Aslam ;
Mohyud-Din, Syed Tauseef .
ACTA APPLICANDAE MATHEMATICAE, 2008, 104 (03) :257-269
[19]  
Noor MA, 2008, INT J NONLIN SCI NUM, V9, P395
[20]  
Noor MA, 2008, INT J NONLIN SCI NUM, V9, P141