On numerical solutions of fuzzy differential equations

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International Journal of Development Research

Volume: 
08
Article ID: 
13148
9 pages
Research Article

On numerical solutions of fuzzy differential equations

Kodal Sevindir, H. Cetinkaya, S. and Tabak, G.

Received 14th June, 2018; Received in revised form 20th July, 2018; Accepted 19th August, 2018; Published online 30th September, 2018

Copyright © 2018, Kodal Sevindir et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract: 

Controlling After being introduced by Chang and Zadeh, the topic of Fuzzy Differential Equations has been attracting a rapidly growing number of researchers in recent decades. In this paper some numerical algorithms for fuzzy ordinary differential equations are considered. Schemes for the classical Euler method, Homotopy Analysis Method (HAM), and Adomian Decomposition Method (ADM) are discussed; this is followed by an error analysis. The algorithms are used to solve numerically for a linear fuzzy Cauchy problem, and the first two iterative steps of the algorithms are shown explicitly in detail.

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