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
收藏
页码：444 / 448
页数：5
相关论文
共 50 条
  • [1] Runge-Kutta methods for fuzzy differential equations
    Palligkinis, S. Ch.
    Papageorgiou, G.
    Famelis, I. Th.
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 209 (01) : 97 - 105
  • [2] Runge-Kutta Methods for Ordinary Differential Equations
    Butcher, J. C.
    NUMERICAL ANALYSIS AND OPTIMIZATION, NAO-III, 2015, 134 : 37 - 58
  • [3] Solving fuzzy differential equations by Runge-Kutta method
    Ghanaie, Z. Akbarzadeh
    Moghadam, M. Mohseni
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2011, 2 (02): : 208 - 221
  • [4] The Runge-Kutta method for hybrid fuzzy differential equations
    Pederson, S.
    Sambandham, M.
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (02) : 626 - 634
  • [5] Runge-Kutta methods for linear ordinary differential equations
    Zingg, DW
    Chisholm, TT
    APPLIED NUMERICAL MATHEMATICS, 1999, 31 (02) : 227 - 238
  • [6] The development of Runge-Kutta methods for partial differential equations
    vanderHouwen, PJ
    APPLIED NUMERICAL MATHEMATICS, 1996, 20 (03) : 261 - 272
  • [7] Hybrid Runge-Kutta methods for ordinary differential equations
    Liu, Zhongli
    Hu, Jintao
    Tian, Hongjiong
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (03):
  • [8] Convergence of Runge-Kutta methods for delay differential equations
    'T Hout, KJI
    BIT NUMERICAL MATHEMATICS, 2001, 41 (02) : 322 - 344
  • [9] Runge-Kutta methods for quadratic ordinary differential equations
    Arieh Iserles
    Geetha Ramaswami
    Mark Sofroniou
    BIT Numerical Mathematics, 1998, 38 : 315 - 346
  • [10] Runge-Kutta methods for monotone differential and delay equations
    Kloeden, PE
    Schropp, J
    BIT, 2003, 43 (03): : 571 - 586
12345