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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| Published in | Computation Vol. 10; no. 10; p. 168 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
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MDPI AG
01.10.2022
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| ISSN | 2079-3197 2079-3197 |
| DOI | 10.3390/computation10100168 |
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| Abstract | 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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| AbstractList | 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. |
| Audience | Academic |
| Author | Attili, Basem Mallak, Saed Subuh, Marah |
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| SubjectTerms | 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 |
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| Title | Numerical Treatment of Hybrid Fuzzy Differential Equations Subject to Trapezoidal and Triangular Fuzzy Initial Conditions Using Picard’s and the General Linear Method |
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