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Issue:Numerical solution of fuzzy differential equation by Runge-Kutta method and the intuitionistic treatment

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Title of paper: Numerical solution of fuzzy differential equation by Runge-Kutta method and the intuitionistic treatment
Author(s):
S. Abbasbandy
Department of Mathematics, Imam Khomeini International University, Qazvin, Iran
abbasbandy@yahoo.com
T. Allah Viranloo
Department of Mathematics, Science and Research Branch,

Islamic Azad University, Tehran, Iran

alahviranlo@yahoo.com
Presented at: 6th ICIFS, Varna, 13—14 Sept 2002
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 8 (2002) Number 3, pages 43—53
Download:  PDF (4451  Kb, File info)
Abstract: In this paper numerical algorithms for solving ’fuzzy ordinary differential equations’ are considered. A scheme based on the 4th Runge-Kutta method in detail is discussed and this is followed by a complete error analysis. The algorithm is illustrated by solving some linear and nonlinear fuzzy Cauchy problems. Comments on intuitionistic fuzzy differential equations are included.
Keywords: Fuzzy differential equation, 4th Runge-Kutta method, Fuzzy Cauchy problem
AMS Classification: 34A12, 65L05
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