Approximate Solution of Linear Interval Fuzzy Ordinary Differential Equations

Approximate solution of fuzzy initial value problem composed of interval fuzzy ordinary differential equation subject to initial conditions given as fuzzy intervals is the main objective of this work. The considered fuzzy initial value problem was given with Hukuhara definition of the difference and...

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Bibliographic Details
Published inAl-Nahrain Journal of Science Vol. 26; no. 1; pp. 41 - 49
Main Authors M. Rasheed, Sohaib, S. Fadhel, Fadhel
Format Journal Article
LanguageEnglish
Published 01.03.2023
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ISSN2663-5453
2663-5461
DOI10.22401/ANJS.26.1.07

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Summary:Approximate solution of fuzzy initial value problem composed of interval fuzzy ordinary differential equation subject to initial conditions given as fuzzy intervals is the main objective of this work. The considered fuzzy initial value problem was given with Hukuhara definition of the difference and derivatives for interval-valued functions, in which two cases are considered depending on the comparison between the lower and upper functions of the solution derivative. The followed definition for presenting the fuzzy interval is generalized using trapezoidal fuzzy number, while the followed approximated method used in this work is the variational iteration method and its modification to increase the accuracy and the rate of convergence to the exact solution.
ISSN:2663-5453
2663-5461
DOI:10.22401/ANJS.26.1.07