Solving Fuzzy Differential Equations using Third Order Runge Kutta Based on Contraharmonic Mean

被引:0
作者
Ramli, Amirah [1 ]
Ahmad, Rokiah Rozita [1 ]
Din, Ummul Khair Salma [1 ]
Salleh, Abdul Razak [1 ]
机构
[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Bangi 43600, Selangor, Malaysia
来源
2015 UKM FST POSTGRADUATE COLLOQUIUM | 2015年 / 1678卷
关键词
Runge-Kutta method; Contraharmonic; Fuzzy differential equations; Hukuhara differentiability;
D O I
10.1063/1.4931331
中图分类号
O59 [应用物理学];
学科分类号
摘要
In this paper a three stage Runge Kutta method based Contraharmonic Mean is applied for solving fuzzy differential equations based on generalized Hukuhara differentiability. This study intends to explore an explicit method which can be improved and modified to solve fuzzy differential equations. Some definitions and theorem are reviewed as a basis in solving fuzzy differential equations. A numerical example is given to illustrate the accuracy of the method. The comparison with the existing method is also discussed. The proposed method gives better numerical results and suitable for solving fuzzy differential equations.
引用
收藏
页数:7
相关论文
共 16 条
[1]  
Abbasbandy S., 2002, Computational Methods in Applied Mathematics, V2, DOI 10.2478/cmam-2002-0006
[2]  
Allahviranloo T., 2004, J APPL MATH, P36
[3]  
[Anonymous], 2009, APPL MATH SCI
[4]  
[Anonymous], 1980, Fuzzy sets and system-theory and application
[5]   FUZZY MAPPING AND CONTROL [J].
CHANG, SSL ;
ZADEH, LA .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1972, SMC2 (01) :30-&
[6]  
JAYAKUMAR T, 2012, APPL MATH SCI, V6, P2989
[7]   THE CAUCHY-PROBLEM FOR FUZZY DIFFERENTIAL-EQUATIONS [J].
KALEVA, O .
FUZZY SETS AND SYSTEMS, 1990, 35 (03) :389-396
[8]   FUZZY DIFFERENTIAL-EQUATIONS [J].
KALEVA, O .
FUZZY SETS AND SYSTEMS, 1987, 24 (03) :301-317
[9]  
Klir G.J., 1997, FUZZY SET THEORY FDN
[10]   Numerical solutions of fuzzy differential equations [J].
Ma, M ;
Friedman, M ;
Kandel, A .
FUZZY SETS AND SYSTEMS, 1999, 105 (01) :133-138