Comparison of Two Methods for Solving Fuzzy Differential Equations Based on Euler Method and Zadeh's Extension

Volume 2, Issue 2, pp 295--306 http://dx.doi.org/10.22436/jmcs.002.02.09

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Authors

H. Saberi Najafi - Department of Mathematics, Faculty of Sciences, Guilan University, P. O. Box 41335-1914, Rasht, Iran Computer Center, Guilan University, Rasht, Iran F. Ramezani Sasemasi - Department of Mathematics, Islamic Azad University of Lahijan S. Sabouri Roudkoli - Department of Mathematics, Islamic Azad University of Lahijan S. Fazeli Nodehi - Department of Mathematics, Islamic Azad university of Lahijan

Abstract

In this paper, two important methods which apply for solving Fuzzy differential equations are compared. These methods are: 1. Zadeh extension principal 2. Standard Euler method The methods are compared by numerical examples.Also in each case by approximating the errors,the converges of the methods will be considered. The results are shown in tables and figures.

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Keywords

• Fuzzy differential equations
• Zadeh’s extension
• Euler method.

MSC

•  34A07
•  03B52
•  26E50

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