Fuzzy heat equation
WebABSTRACT In this paper a fuzzy heat equation with fuzzy initial values is considered. The concept of generalized Hukuhara differentiation is interpreted thoroughly in the univariate and multivariate cases, and also several properties for... more Publisher: Elsevier BV Publication Date: 2015 Publication Name: Fuzzy Sets and Systems WebMay 1, 2016 · For this purpose, we consider a fuzzy initial-boundary value problem for the heat equation of the following form: { u t − a u x x = F ˜ ( x, t) u ( x, 0) = Φ ˜ ( x) u ( 0, t) = G ˜ ( t) u ( L, t) = H ˜ ( t) where a = const > 0 is a given parameter and F ˜ = 〈 F a, F c, F b 〉, Φ ˜ = 〈 Φ a, Φ c, Φ b 〉, G ˜ = 〈 G a, G c, G b 〉 and H ˜ = 〈 H a, H c, …
Fuzzy heat equation
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WebFinally, in Equation (3), it is assumed that the heat loss occurs only through the walls of the duct. A standard thermocouple type K has been used to measure the air temperatures. The accuracy is around 1 ... This tool allows one to obtain in an easy and straightforward way the parameters of the TS fuzzy structure of Equation . WebMar 9, 2024 · Differential transform method for solving fuzzy fractional wave equation. Journal of Computational Analysis and Applications, 29(3), 431-453.[Google Scholor] Osman, M., Gong, Z., & Mustafa, A. M. (2024). …
WebMar 9, 2024 · The fuzzy set \(\tilde{u}\in E^{1}\) is called a fuzzy number if \(\tilde{u}\) is a normal, convex fuzzy set, upper semi-continuous and supp\(u=\{x\in R u(x)>0\}\) is compact. Here \(\overline{A}\) denotes the … WebApr 20, 2024 · A fuzzy differential equation is a differential equation in which some coefficients and/or parameters and/or boundary conditions are assumed to be a …
WebFeb 15, 2024 · Consider the following fuzzy heat equation (16) {∂ t g H u (x, t) ⊝ g H κ ∂ x x g H u (x, t) = 0, − ∞ < x < ∞, t ≥ 0; u (x, 0) = f (x) such that ∫ − ∞ ∞ D (f (x), 0) d x < ∞, … WebApr 15, 2015 · A fuzzy heat equation models the flow of heat in a rod that is insulated everywhere except at its two ends. The purpose of the present paper is two topics. One of our intentions is to prove the uniqueness of the solution of a fuzzy heat equation.
WebJul 2, 2024 · This paper presents a comparison of several important methods to solve fuzzy partial differential equations (PDEs), including the fuzzy reduced differential transform method (RDTM), fuzzy Adomian decomposition method (ADM), fuzzy Homotopy perturbation method (HPM), and fuzzyHomotopy analysis method (HAM). PDF
WebOct 10, 2024 · Abstract. This article discusses an approximate scheme for solving one-dimensional heat-like and wave-like equations in fuzzy environment based on the … eva parthenayWebApr 10, 2024 · The control algorithm was designed using the Mamdani-type fuzzy logic controller (FLC) with three inputs: error angle, error rate, and acceleration. The outputs of the FLC were two control signals to adjust the speed of the two motors. first class seats on a planeWebApr 6, 2024 · A fuzzy logic control strategy was developed to optimize the external heating power provided by the battery pack, and to achieve the maximum range by the end of discharge. A global optimal control strategy obtained by dynamic programming and a constant maximum power heating strategy were used for comparison. first class seats red eye flightsWebJan 30, 2024 · The triangular fuzzy number a \in \mathbb {R}_ {\mathcal {T}} is defined as an ordered triple a= (a_1, a_2, a_3) with a_1 \le a_2 \le a_3. Some properties of the triangular fuzzy number are discussed in Kaufmann and Gupta ( 1985 ), but we will describe some of the properties of this class of numbers here which are used in this paper. … first class seats international flightshttp://www.m-hikari.com/ijcms-password2009/1-4-2009/allahviranlooIJCMS1-4-2009.pdf evap and catalyst not readyWebThe D number integral form membership matrix is transformed into the collective interval-valued intuitionistic fuzzy matrix using Equations (24), according to the overall integration representation solving method using Equation (25). ... A numerical study on the impact of grouting material on borehole heat exchangers performance in aquifers ... evap canister chevy silveradoWebNov 1, 2024 · In this paper the classical explicit approximation to $\frac {\partial ^ {2} U} {\partial x^ {2} } =\frac {\partial U} {\partial t}$ is given by approximating exponential function by Pade... eva paradise spa new orleans