A note on “Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4”

Citation

Dizicheh, Ali Karimi and Salahshour, Soheil and Ismail, Fudziah (2013) A note on “Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4”. Fuzzy Sets and Systems, 233. pp. 96-100. ISSN 0165-0114

Abstract

In this note we show that the example presented in a recent paper by Ghazanfari et al. is incorrect. Namely, the “exact solution” suggested by the authors is not solution of the given fuzzy differential equation (FDE). Indeed, the authors have proposed an exact solution which is independent from the initial condition. So, we obtain the correct exact solution using the characterization theorem proposed by Bede et al. under Seikkala differentiability. Also, some details are given for the mentioned example.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.1016/j.fss.2013.03.006
Publisher:	Elsevier
Keywords:	Fuzzy differential equations; Bede's characterization theorem; Seikkala differentiability.
Depositing User:	Umikalthom Abdullah
Date Deposited:	23 Oct 2014 08:39
Last Modified:	08 Oct 2015 06:40
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.fss.2013.03.006
URI:	http://psasir.upm.edu.my/id/eprint/30363
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