A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values

Muhammad Zaini Ahmad, and Mohammad Khatim Hasan, (2011) A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values. Sains Malaysiana, 40 (6). pp. 651-657. ISSN 0126-6039

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Official URL: http://www.ukm.my/jsm/

Abstract

This paper proposes a new fuzzy version of Euler’s method for solving differential equations with fuzzy initial values. Our proposed method is based on Zadeh’s extension principle for the reformulation of the classical Euler’s method, which takes into account the dependency problem that arises in fuzzy setting. This problem is often neglected in numerical methods found in the literature for solving differential equations with fuzzy initial values. Several examples are provided to show the advantage of our proposed method compared to the conventional fuzzy version of Euler’s method proposed in the literature.

Item Type:Article
Keywords:Euler’s method; fuzzy initial value; fuzzy set; optimisation
Journal:Sains Malaysiana
ID Code:2518
Deposited By: Mr Azam
Deposited On:03 Aug 2011 08:20
Last Modified:14 Dec 2016 06:31

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