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A new fuzzy version of Euler's method for solving differential equations with fuzzy initial values

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Bibliographic Details
Main Authors: Muhammad Zaini, Ahmad, M. K., Hasan
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia (UKM) 2011
Subjects:
Euler’s method
Fuzzy initial value
Fuzzy set
Optimisation
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/14044
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spelling my.unimap-140442011-10-06T06:24:05Z A new fuzzy version of Euler's method for solving differential equations with fuzzy initial values Muhammad Zaini, Ahmad M. K., Hasan Euler’s method Fuzzy initial value Fuzzy set Optimisation Link to publisher's homepage at http://www.ukm.my/ 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. 2011-10-06T06:24:05Z 2011-10-06T06:24:05Z 2011-06 Article Sains Malaysiana, vol. 40 (6), 2011, pages 651–657 0126-6039 http://www.ukm.my/jsm/pdf_files/SM-PDF-40-6-2011/17%20AHMAD%20M.Z.pdf http://hdl.handle.net/123456789/14044 en Universiti Kebangsaan Malaysia (UKM)
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Euler’s method
Fuzzy initial value
Fuzzy set
Optimisation
spellingShingle Euler’s method
Fuzzy initial value
Fuzzy set
Optimisation
Muhammad Zaini, Ahmad
M. K., Hasan
A new fuzzy version of Euler's method for solving differential equations with fuzzy initial values
description Link to publisher's homepage at http://www.ukm.my/
format Article
author Muhammad Zaini, Ahmad
M. K., Hasan
author_facet Muhammad Zaini, Ahmad
M. K., 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 (UKM)
publishDate 2011
url http://dspace.unimap.edu.my/xmlui/handle/123456789/14044
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score 13.222552

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