Improved homotopy perturbation method for solving Fredholm type integro-differential equations

被引：32
作者：
Yusufoglu , Elcin [1 ]
机构：
[1] Dumlupinar Univ, Art Sci Fac, Dept Math, Kutahya, Turkey
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 01期
关键词：
NUMERICAL-SOLUTION; BIFURCATION;
D O I：
10.1016/j.chaos.2007.11.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present all improvement to homotopy perturbation method for solving linear Fredholm type integro-differential equations with separable kernel. The results reveal that the proposed method is very effective and simple and gives the exact solutions. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：28 / 37
页数：10
相关论文
共 39 条
[1]   Application of He's homotopy perturbation method to functional integral equations [J].
Abbasbandy, S. .
CHAOS SOLITONS & FRACTALS, 2007, 31 (05) :1243-1247
[2]   Application of He's homotopy perturbation method for Laplace transform [J].
Abbasbandy, S. .
CHAOS SOLITONS & FRACTALS, 2006, 30 (05) :1206-1212
[3]  
[Anonymous], 2006, NONPERTURBATIVE METH
[4]  
Biazar J, 2007, INT J NONLINEAR SCI, V8, P413
[5]  
BIAZAR J, 2007, CHAOS SOLITON FRACT, V39, P770
[6]  
Cai XC, 2006, INT J NONLIN SCI NUM, V7, P109
[7]   Integration using He's homotopy perturbation method [J].
Chun, Changbum .
CHAOS SOLITONS & FRACTALS, 2007, 34 (04) :1130-1134
[8]   Homotopy-perturbation method for pure nonlinear differential equation [J].
Cveticanin, L. .
CHAOS SOLITONS & FRACTALS, 2006, 30 (05) :1221-1230
[9]   A method for the numerical solution of the integro-differential equations [J].
Darania, P. ;
Ebadian, Ali .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) :657-668
[10]   An efficient algorithm for solving Troesch's problem [J].
Feng, Xinlong ;
Mei, Liquan ;
He, Guoliang .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (01) :500-507
1234