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 50 条

[1] Numerical solution of n-order fuzzy differential equations by Runge-Kutta method
Abbasbandy S.
Allahviranloo T.
Darabi P.
Mathematical and Computational Applications, 2011, 16 (04) : 935 - 946
[2] Numerical solution of fuzzy differential equations of nth-order by Runge-Kutta method
Parandin, Nouredin
NEURAL COMPUTING & APPLICATIONS, 2012, 21 : S347 - S355
[3] Numerical Solution of Fuzzy Neutral Delay Differential Equations by Fifth Order Runge-Kutta Nystrom Method
Muthukumar, T.
Jayakumar, T.
Bharathi, D. Prasantha
JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2022, 11 (03) : 703 - 717
[4] Numerical Solution for Fuzzy Enzyme Kinetic Equations by the Runge-Kutta Method
Barazandeh, Yousef
Ghazanfari, Bahman
MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, 2018, 23 (01)
[5] Numerical solution of fuzzy differential equations of nth-order by Runge–Kutta method
Nouredin Parandin
Neural Computing and Applications, 2012, 21 : 347 - 355
[6] Numerical solution of stochastic differential equations by second order Runge-Kutta methods
Khodabin, M.
Maleknejad, K.
Rostami, M.
Nouri, M.
MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (9-10) : 1910 - 1920
[7] 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
[8] The Runge-Kutta method for hybrid fuzzy differential equations
Pederson, S.
Sambandham, M.
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (02) : 626 - 634
[9] STABILITY OF FOURTH ORDER RUNGE-KUTTA METHOD FOR SOLUTION OF SYSTEMS OF DIFFERENTIAL EQUATIONS
KARIM, AIA
COMPUTER JOURNAL, 1966, 9 (03): : 308 - &
[10] Runge-Kutta methods for numerical solution of stochastic differential equations
Tocino, A
Ardanuy, R
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 138 (02) : 219 - 241

← 1 2 3 4 5 →