Numerical Solution of Fuzzy Differential Equations of 2nd-Order by Runge-Kutta Method

被引：0

作者：

Parandin, N. ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Kermanshah Branch, Math, Kermanshah, Iran

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2013年 / 7卷 / 03期

关键词：

Fuzzy differential equations; Runge-Kutta method; Convergence of numerical method;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, solving fuzzy ordinary differential equations of the n th order by Runge-Kutta method have been done, and the convergence of the proposed method is proved. This method is illustrated by some numerical examples.

引用

页码：47 / 62

页数：16

共 27 条

[1]

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

[2] 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

[3]

Abbasbandy S., 2002, J SCI TEACHER TRAINI, V1

[4] Nth-order fuzzy linear differential equations [J].

Allahviranloo, T. ;

Ahmady, E. ;

Ahmady, N. .

INFORMATION SCIENCES, 2008, 178 (05) :1309-1324

[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] Solving fuzzy differential equations by differential transformation method [J].

Allahviranloo, T. ;

Kiani, N. A. ;

Motamedi, N. .

INFORMATION SCIENCES, 2009, 179 (07) :956-966

[7] A note on "two-point boundary value problems associated with non-linear fuzzy differential equations" [J].

Bede, B .

FUZZY SETS AND SYSTEMS, 2006, 157 (07) :986-989

[8] Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations [J].

Bede, B ;

Gal, SG .

FUZZY SETS AND SYSTEMS, 2005, 151 (03) :581-599

[9]

Buckley JJ, 2000, FUZZY SET SYST, V110, P43, DOI 10.1016/S0165-0114(98)00141-9

[10] Stability and periodicity in fuzzy differential equations [J].

Diamond, P .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2000, 8 (05) :583-590

← 1 2 3 →