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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2011, 16(4), 935-946; https://doi.org/10.3390/mca16040935

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

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14515/775, Iran
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Published: 1 December 2011
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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
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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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.

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