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Article

Numerical Solution of N-Order Fuzzy Differential Equations by Runge-Kutta Method

by
S. Abbasbandy
*,
T. Allahviranloo
and
P. Darabi
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14515/775, Iran
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2011, 16(4), 935-946; https://doi.org/10.3390/mca16040935
Published: 1 December 2011
Versions Notes

Abstract

In this paper we study a numerical method for n-th order fuzzy differential equations based on Seikkala derivative with initial value conditions. The Runge-Kutta method is used for the numerical solution of this problem and the convergence and stability of the method is proved. By this method, we can obtain strong fuzzy solution. This method is illustrated by solving some examples.
Keywords: Fuzzy numbers, n-th order fuzzy differential equations, Runge-Kutta method, Lipschitz condition Fuzzy numbers, n-th order fuzzy differential equations, Runge-Kutta method, Lipschitz condition

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MDPI and ACS Style

Abbasbandy, S.; Allahviranloo, T.; Darabi, P. Numerical Solution of N-Order Fuzzy Differential Equations by Runge-Kutta Method. Math. Comput. Appl. 2011, 16, 935-946. https://doi.org/10.3390/mca16040935

AMA Style

Abbasbandy S, Allahviranloo T, Darabi P. Numerical Solution of N-Order Fuzzy Differential Equations by Runge-Kutta Method. Mathematical and Computational Applications. 2011; 16(4):935-946. https://doi.org/10.3390/mca16040935

Chicago/Turabian Style

Abbasbandy, S., T. Allahviranloo, and P. Darabi. 2011. "Numerical Solution of N-Order Fuzzy Differential Equations by Runge-Kutta Method" Mathematical and Computational Applications 16, no. 4: 935-946. https://doi.org/10.3390/mca16040935

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