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

• Published in: Computation Vol. 10; no. 10; p. 168
• Main Authors: Mallak, Saed, Attili, Basem, Subuh, Marah
• Format: Journal Article
• Language: English
• 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

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...