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Title: A new fuzzy version of Euler's method for solving differential equations with fuzzy initial values
Other Titles: Versi baru kaedah Euler kabur untuk menyelesaikan persamaan pembezaan dengan nilai-nilai awal kabur
Authors: Muhammad Zaini, Ahmad
M. K., Hasan
Keywords: Euler’s method;Fuzzy initial value;Fuzzy set;Optimisation
Issue Date: Jun-2011
Publisher: Universiti Kebangsaan Malaysia (UKM)
Citation: Sains Malaysiana, vol. 40 (6), 2011, pages 651–657
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.
Description: Link to publisher's homepage at http://www.ukm.my/
URI: http://www.ukm.my/jsm/pdf_files/SM-PDF-40-6-2011/17%20AHMAD%20M.Z.pdf
ISSN: 0126-6039
Appears in Collections:Institute of Engineering Mathematics (Articles)

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