The decomposition method applied to systems of Fredholm integral equations of the second kind

被引：73

作者：

Babolian, E

Biazar, J

Vahidi, AR

机构：

[1] Guilan Univ, Dept Math, Rasht, Iran

[2] Teacher Training Univ, Dept Math, Tehran, Iran

[3] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 148卷 / 02期

关键词：

Adomian decomposition method; systems of Fredholm integral equations;

D O I：

10.1016/S0096-3003(02)00859-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Adomian decomposition method is applied to solve systems of linear and nonlinear Fredholm integral equations of the second kind. Convergence of the method is proved and some examples are presented to illustrate the method. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：443 / 452

页数：10

共 8 条

[1] Adomian G., 1994, SOLVING FRONTIER PRO
[2] Adomian G., 1989, Nonlinear Stochastis System Theory and Applications to Physics
[3] [Anonymous], 1985, COMPUTATIONAL METHOD
[4] BABOLIAN E, 2000, FAR E J MATH SCI, V2, P935
[5] Babolian E, 2001, FAR E J MATH SCI, V7, P17
[6] The resolution of non-linear integral equations of the first kind using the decompositional method of Adomian
Cherruault, Y
Seng, V
[J]. KYBERNETES, 1997, 26 (2-3) : 198 - &
[7] CHERRUAULT Y, 1992, MATH COMPUT MODEL, V16, P83
[8] THE THEORETICAL FOUNDATION OF THE ADOMIAN METHOD
GABET, L
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 27 (12) : 41 - 52

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