The Adomian decomposition method applied to the Fuzzy system of Fredholm integral equations of the second kind

被引：43

作者：

Abbasbandy, S ^{[1
]}

Allahviranloo, T

机构：

[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 34194, Iran

[2] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran 14778, Iran

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2006年 / 14卷 / 01期

关键词：

Adomian decomposition method; Fuzzy Fredholm integral equations;

D O I：

10.1142/S0218488506003868

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this work, the Adomian decomposition (AD) method is applied to the Fuzzy system of linear Fredholm integral equations of the second kind(FFIE). First the crisp Fredholm integral equation is solved by AD method and then the crisp solution is fuzzified by extension principle. The proposed algorithm is illustrated by solving a numerical example.

引用

页码：101 / 110

页数：10

共 16 条

[1] PRACTICAL FORMULAS FOR THE CALCULUS OF MULTIVARIABLE ADOMIAN POLYNOMIALS [J].

ABBAOUI, K ;

CHERRUAULT, Y ;

SENG, V .

MATHEMATICAL AND COMPUTER MODELLING, 1995, 22 (01) :89-93

[2]

Abbasbandy S., 2002, Mathematical & Computational Applications, V7, P41

[3] Tuning of reachable set in one dimensional fuzzy differential inclusions [J].

Abbasbandy, S ;

Nieto, JJ ;

Alavi, M .

CHAOS SOLITONS & FRACTALS, 2005, 26 (05) :1337-1341

[4]

Abbasbandy S., 2002, Computational Methods in Applied Mathematics, V2, DOI 10.2478/cmam-2002-0006

[5] Numerical methods for fuzzy differential inclusions [J].

Abbasbandy, S ;

Viranloo, TA ;

López-Pouso, O ;

Nieto, JJ .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (10-11) :1633-1641

[6]

Abbasbandy S., 2004, Nonlinear Stud., V11, P117

[7] A REVIEW OF THE DECOMPOSITION METHOD AND SOME RECENT RESULTS FOR NONLINEAR EQUATIONS [J].

ADOMIAN, G .

MATHEMATICAL AND COMPUTER MODELLING, 1990, 13 (07) :17-43

[8] SOLUTION OF PHYSICAL PROBLEMS BY DECOMPOSITION [J].

ADOMIAN, G .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 27 (9-10) :145-154

[9] Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method [J].

Babolian, E ;

Goghary, HS ;

Abbasbandy, S .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 161 (03) :733-744

[10]

Diamond P., 1994, Metric Spaces of Fuzzy Sets: Theory and Applications

← 1 2 →