Fuzzy Version of A Developed Fourth Order Runge Kutta Method for Solving Differential Equations with Fuzzy Initial Values

被引：1

作者：

Ramli, Amirah ^{[1
]}

Ahmad, Rokiah Rozita ^{[1
]}

Din, Ummul Khair Salma ^{[1
]}

Salleh, Abdul Razak ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Sch Math Sci, Fac Sci & Technol, Bangi 43600, Selangor, Malaysia

来源：

ADVANCES IN INDUSTRIAL AND APPLIED MATHEMATICS | 2016年 / 1750卷

关键词：

Developed Fourth Order Runge-Kutta; Fuzzy differential equations; Hukuhara differentiability;

D O I：

10.1063/1.4954564

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, numerical algorithm is applied for solving fuzzy differential equations based on generalized Hukuhara differentiability. In order to enhance the order of accuracy of the solutions, a developed fourth order Runge-Kutta method is apply for solving fuzzy differential equations. The purpose of this study is to explore the explicit methods which we believe that most of the explicit methods can be improved and modified to cater and solve fuzzy differential equations. This paper is divided into six sections. In the first section, some basic definitions and theorem are reviewed. The numerical examples are given to illustrate the efficiency of the method and the comparison with the existing method is discussed.

引用

页数：6

共 16 条

[1] Ababneh OY, 1997, THESIS
[2] Abbasbandy S., 2002, Computational Methods in Applied Mathematics, V2, DOI 10.2478/cmam-2002-0006
[3] Allah Viranloo T., 2001, J SCI TEACHER TRAINI, V1, P31
[4] Allahviranloo T., 2004, J APPL MATH, P36
[5] [Anonymous], 1980, Fuzzy sets and system-theory and application
[6] FUZZY MAPPING AND CONTROL
CHANG, SSL
ZADEH, LA
[J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1972, SMC2 (01): : 30 - &
[7] JAYAKUMAR T, 2012, APPL MATH SCI, V6, P2989
[8] THE CAUCHY-PROBLEM FOR FUZZY DIFFERENTIAL-EQUATIONS
KALEVA, O
[J]. FUZZY SETS AND SYSTEMS, 1990, 35 (03) : 389 - 396
[9] FUZZY DIFFERENTIAL-EQUATIONS
KALEVA, O
[J]. FUZZY SETS AND SYSTEMS, 1987, 24 (03) : 301 - 317
[10] Klir G.J., 1997, FUZZY SET THEORY FDN

← 1 2 →