Runge-Kutta methods for Fuzzy Differential Equations

被引：0

作者：

Palligkinis, S. Ch. ^{[1
]}

Papageorgiou, G. ^{[1
]}

Famelis, I. Th. ^{[1
]}

机构：

[1] TEI Chalkis, Dept Appl Sci, GR-34400 Psahna, Greece

来源：

Advances in Computational Methods in Sciences and Engineering 2005, Vols 4 A & 4 B | 2005年 / 4A-4B卷

关键词：

fuzzy numbers; fuzzy differential equations; numerical solution; Runge-Kutta Methods; convergence of numerical methods; CALCULUS;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Fuzzy Differential Equations generalize the concept of crisp Initial Value Problems. In this article, the numerical solution of these equations is dealt with. The notion of convergence of a numerical method is defined and a category of problems which is more general than the one already found in Numerical Analysis literature is solved. Efficient s-stage Runge - Kutta methods are used for the numerical solution of these problems and the convergence of the methods is proved. Several examples comparing these methods with the previously developed Euler method axe displayed.

引用

页码：444 / 448

页数：5

共 14 条

[1] Abbasbandy S, 2004, NONLINEAR STUD, V11, P117
[2] Buckley JJ, 2000, FUZZY SET SYST, V110, P43, DOI 10.1016/S0165-0114(98)00141-9
[3] Butcher J. C., 1987, The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods
[4] TOWARDS FUZZY DIFFERENTIAL-CALCULUS .3. DIFFERENTIATION
DUBOIS, D
PRADE, H
[J]. FUZZY SETS AND SYSTEMS, 1982, 8 (03) : 225 - 233
[5] Dubois D. J., 1980, Fuzzy Sets and Systems: Theory and Applications
[6] ELEMENTARY FUZZY CALCULUS
GOETSCHEL, R
VOXMAN, W
[J]. FUZZY SETS AND SYSTEMS, 1986, 18 (01) : 31 - 43
[7] HAIRER SP, 1987, SOLVING ORDINARY DIF, V1
[8] FUZZY DIFFERENTIAL-EQUATIONS
KALEVA, O
[J]. FUZZY SETS AND SYSTEMS, 1987, 24 (03) : 301 - 317
[9] Kolmogorov A.N., 1970, INTRO REAL ANAL
[10] LAMBERT JD, 1990, NUMERICAL METHODS OR

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