Numerical Treatment of Hybrid Fuzzy Differential Equations Subject to Trapezoidal and Triangular Fuzzy Initial Conditions Using Picard’s and the General Linear Method

We study hybrid fuzzy differential equations (HFDEs) under the Hukuhara derivative numerically using Picard’s and the general linear method (GLM). We use trapezoidal and triangular fuzzy numbers as the initial conditions. To demonstrate the efficiency of the proposed methods, the exact as well as th...

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Bibliographic Details
Published inComputation Vol. 10; no. 10; p. 168
Main Authors Mallak, Saed, Attili, Basem, Subuh, Marah
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.10.2022
Subjects
Analysis
Differential equations
Fuzzy sets
GLM
hybrid fuzzy differential equations
Initial conditions
Methods
Numerical analysis
Picard’s method
Runge-Kutta method
trapezoidal fuzzy numbers
triangular fuzzy numbers
United Kingdom
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Summary:We study hybrid fuzzy differential equations (HFDEs) under the Hukuhara derivative numerically using Picard’s and the general linear method (GLM). We use trapezoidal and triangular fuzzy numbers as the initial conditions. To demonstrate the efficiency of the proposed methods, the exact as well as the numerical solutions are presented numerically and graphically. In addition, a comparison is made between the results from applying the GLM and those obtained when applying the fifth order Runge–Kutta method as reported in the literature.
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ISSN:2079-3197
2079-3197
DOI:10.3390/computation10100168