Application of He's homotopy perturbation method to stiff systems of ordinary differential equations

被引:26
作者
Darvishi, Mohammad Taghi [1 ]
Khani, Farzad [2 ]
机构
[1] Razi Univ, Dept Math, Kermanshah 67149, Iran
[2] Bakhtar Inst Higher Educ, Ilam, Iran
来源
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2008年 / 63卷 / 1-2期
关键词
homotopy perturbation method; stiff systems; systems of differential equations;
D O I
10.1515/zna-2008-1-204
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
We propose He's homotopy perturbation method (HPM) to solve stiff systems of ordinary differential equations. This method is very simple to be implemented. HPM is employed to compute an approximation or analytical solution of the stiff systems of linear and nonlinear ordinary differential equations.
引用
收藏
页码:19 / 23
页数:5
相关论文
共 25 条
[1]   Application of He's homotopy perturbation method for Laplace transform [J].
Abbasbandy, S. .
CHAOS SOLITONS & FRACTALS, 2006, 30 (05) :1206-1212
[2]  
[Anonymous], 1997, Comm. Nonlinear Sci. Numer. Simul.
[3]   The numerical simulation for stiff systems of ordinary differential equations [J].
Darvishi, M. T. ;
Khani, F. ;
Soliman, A. A. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) :1055-1063
[4]  
Debnath L., 1998, NONLINEAR PARTIAL DI
[5]  
He J.H., 1997, Communications in Nonlinear Science and Numerical Simulation, V2, P235, DOI [DOI 10.1016/S1007-5704(97)90008-3, 10.1016/s1007-5704(97)90008-3]
[6]   Approximate solution of nonlinear differential equations with convolution product nonlinearities [J].
He, JH .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 167 (1-2) :69-73
[7]   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
[8]   Approximate analytical solution for seepage flow with fractional derivatives in porous media [J].
He, JH .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 167 (1-2) :57-68
[9]   Homotopy perturbation method for solving boundary value problems [J].
He, JH .
PHYSICS LETTERS A, 2006, 350 (1-2) :87-88
[10]   Comparison of homotopy perturbation method and homotopy analysis method [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (02) :527-539