A new homotopy perturbation method for system of nonlinear integro-differential equations

被引:4
作者
Aminikhah, Hossein [2 ]
Salahi, Maziar [1 ]
机构
[1] Univ Guilan, Fac Sci, Dept Math, Rasht 41938, Iran
[2] Shahrood Univ Technol, Sch Math Sci, Dept Math, Shahrood 3619995161, Iran
关键词
nonlinear system; integro-differential equations; homotopy perturbation method; variational iteration method; Taylor series; PARTIAL-DIFFERENTIAL-EQUATION; BOUNDARY-VALUE-PROBLEMS; ORDER; FLOW;
D O I
10.1080/00207160903243155
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a new homotopy perturbation method (NHPM) is introduced to obtain exact solutions of system of nonlinear integro-differential equations. Theoretical considerations are discussed. Two examples are given to demonstrate the efficiency of NHPM to the classical HPM and variational iteration methods.
引用
收藏
页码:1186 / 1194
页数:9
相关论文
共 26 条
[11]   Solution of a partial differential equation subject to temperature overspecification by He's homotopy perturbation method [J].
Dehghan, Mehdi ;
Shakeri, Fatemeh .
PHYSICA SCRIPTA, 2007, 75 (06) :778-787
[13]  
Ganji DD, 2006, INT J NONLIN SCI NUM, V7, P411
[14]   Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method [J].
Ganji, D. D. ;
Rafei, M. .
PHYSICS LETTERS A, 2006, 356 (02) :131-137
[15]   Application of homotopy perturbation method for solving eighth-order boundary value problems [J].
Golbabai, A. ;
Javidi, M. .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 191 (02) :334-346
[16]   Application of He's homotopy perturbation method for nth-order integro-differential equations [J].
Golbabai, A. ;
Javidi, M. .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 190 (02) :1409-1416
[17]   Comparison of homotopy perturbation method and homotopy analysis method [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (02) :527-539
[18]   Homotopy perturbation method: a new nonlinear analytical technique [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (01) :73-79
[19]   Homotopy perturbation technique [J].
He, JH .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 178 (3-4) :257-262
[20]  
HE JH, 2003, INT J NONLINEAR MECH, V35, P7