Application of Homotopy Perturbation Method with Chebyshev Polynomials to Nonlinear Problems

被引：5
作者：
Chun, Changbum [1 ]
机构：
[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2010年 / 65卷 / 1-2期
关键词：
Homotopy Perturbation Method; Chebyshev Polynomials; He's Polynomials; Nonlinear Differential Equations; ADOMIAN DECOMPOSITION METHOD; OSCILLATORS; BIFURCATION;
D O I：
10.1515/zna-2010-1-206
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 present an efficient modification of the homotopy perturbation method by using Chebyshev's polynomials and He's polynomials to solve some nonlinear differential equations. Some illustrative examples are given to demonstrate the efficiency and reliability of the modified homotopy perturbation method.
引用
收藏
页码：65 / 70
页数：6
相关论文
共 26 条
[1]  
Cai XC, 2006, INT J NONLIN SCI NUM, V7, P109
[2]   Application of multistage homotopy-perturbation method for the solutions of the Chen system [J].
Chowdhury, M. S. H. ;
Hashim, I. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (01) :381-391
[3]   Solutions of Emden-Fowler equations by homotopy-perturbation method [J].
Chowdhury, M. S. H. ;
Hashim, I. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (01) :104-115
[4]   Homotopy-perturbation method for pure nonlinear differential equation [J].
Cveticanin, L. .
CHAOS SOLITONS & FRACTALS, 2006, 30 (05) :1221-1230
[5]  
El-Shahed M, 2005, INT J NONLIN SCI NUM, V6, P163
[6]   Beyond Adomian polynomials: He polynomials [J].
Ghorbani, Asghar .
CHAOS SOLITONS & FRACTALS, 2009, 39 (03) :1486-1492
[7]  
Ghorbani A, 2007, INT J NONLIN SCI NUM, V8, P229
[8]   Adaptation of homotopy-perturbation method for numeric-analytic solution of system of ODEs [J].
Hashim, I. ;
Chowdhury, M. S. H. .
PHYSICS LETTERS A, 2008, 372 (04) :470-481
[9]   Homotopy perturbation method for solving boundary value problems [J].
He, JH .
PHYSICS LETTERS A, 2006, 350 (1-2) :87-88
[10]   Periodic solutions and bifurcations of delay-differential equations [J].
He, JH .
PHYSICS LETTERS A, 2005, 347 (4-6) :228-230
123