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

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 fu...

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Main Authors:	Muhammad Zaini Ahmad, Mohammad Khatim Hasan
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2011
Online Access:	http://journalarticle.ukm.my/2518/ http://journalarticle.ukm.my/2518/ http://journalarticle.ukm.my/2518/1/17_AHMAD_M.Z.pdf

id	ukm-2518
recordtype	eprints
spelling	ukm-25182016-12-14T06:31:51Z http://journalarticle.ukm.my/2518/ A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values Muhammad Zaini Ahmad, Mohammad Khatim Hasan, 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. Universiti Kebangsaan Malaysia 2011-06 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2518/1/17_AHMAD_M.Z.pdf 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 http://www.ukm.my/jsm/
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	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.
format	Article
author	Muhammad Zaini Ahmad, Mohammad Khatim Hasan,
spellingShingle	Muhammad Zaini Ahmad, Mohammad Khatim Hasan, A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values
author_facet	Muhammad Zaini Ahmad, Mohammad Khatim Hasan,
author_sort	Muhammad Zaini Ahmad,
title	A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values
title_short	A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values
title_full	A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values
title_fullStr	A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values
title_full_unstemmed	A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values
title_sort	new fuzzy version of euler’s method for solving differential equations with fuzzy initial values
publisher	Universiti Kebangsaan Malaysia
publishDate	2011
url	http://journalarticle.ukm.my/2518/ http://journalarticle.ukm.my/2518/ http://journalarticle.ukm.my/2518/1/17_AHMAD_M.Z.pdf
first_indexed	2023-09-18T19:36:17Z
last_indexed	2023-09-18T19:36:17Z
_version_	1777405293200670720

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

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