Solving nonlinear fuzzy differential equations by using fuzzy variational iteration method

被引：17

作者：

Allahviranloo, T. ^{[1
]}

Abbasbandy, S. ^{[1
]}

Behzadi, Sh. S. ^{[2
]}

机构：

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

[2] Islamic Azad Univ, Dept Math, Qazvin Branch, Qazvin, Iran

来源：

SOFT COMPUTING | 2014年 / 18卷 / 11期

关键词：

Fuzzy differential equations; Fuzzy number; Fuzzy-valued function; h-difference; gh-difference; Generalized differentiability; Fuzzy variational iteration method (FVIM); NUMERICAL-SOLUTIONS; EXTENSION PRINCIPLE; EXISTENCE; SYSTEM; DECOMPOSITION; INCLUSIONS;

D O I：

10.1007/s00500-013-1193-5

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 paper, the fuzzy variational iteration method is proposed to solve the nonlinear fuzzy differential equation (NFDE). The convergence and the maximum absolute truncation error of the proposed method are proved in details. Some examples are investigated to verify convergence results and to illustrate the efficiently of the method.

引用

页码：2191 / 2200

页数：10

共 55 条

[1] 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

[2]

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

[3] 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

[4] Survey of utilisation of fuzzy technology in Medicine and Healthcare [J].

Abbod, MF ;

von Keyserlingk, DG ;

Linkens, DA ;

Mahfouf, M .

FUZZY SETS AND SYSTEMS, 2001, 120 (02) :331-349

[5] Numerical solution of fuzzy differential equations by predictor-corrector method [J].

Allahviranloo, T. ;

Ahmady, N. ;

Ahmady, E. .

INFORMATION SCIENCES, 2007, 177 (07) :1633-1647

[6] The Adomian decomposition method for fuzzy system of linear equations [J].

Allahviranloo, T .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 163 (02) :553-563

[7]

[Anonymous], 2009, WORLD APPL SCI J

[8]

[Anonymous], J ADV RES DYN CONTRO

[9]

[Anonymous], J UNCERTAIN SYST

[10]

[Anonymous], INF SCI

← 1 2 3 4 5 6 →