Fuzzy heat equation
WebOct 20, 2024 · 19.3 Fuzzy Heat Equation 19.3.1 Fuzzy Model In a thin uniform metal rod with nonuniform temperature, heat (thermal energy) is flowed from regions of higher temperature to regions of lower temperature. This temperature distribution is mathematically modeled as an one-dimensional heat equation WebOct 5, 2024 · The solution of the fuzzy heat equation taken as product of two fuzzy functions and apply scheme of separation of variables technique under gH – …
Fuzzy heat equation
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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 … 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.
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 … WebOct 1, 2024 · The Variational Iteration method (VIM) is one of the semi approximation procedure to solve numerous differential problems. Many literatures shows that this method need to be rectify to get...
WebApr 15, 2015 · A fuzzy solution of heat equation under generalized Hukuhara differentiability by fuzzy Fourier transform Z. Gouyandeh, T. Allahviranloo, S. Abbasbandy, A. Armand Computer Science Fuzzy Sets Syst. 2024 51 On random fuzzy fractional partial integro-differential equations under Caputo generalized Hukuhara differentiability H. … WebDifferent scientists have worked on diffusion equations, of both integer and fractional order; some have worked on the fuzzy heat equation. We consider both fuzziness and …
WebAug 29, 2024 · The homogeneous fuzzy heat equation with homogeneous fuzzy Dirichlet boundary conditions by considering crisp value to represent zero. The fuzzy initial …
WebJan 30, 2024 · This equation has a unique solution in different states of [gH-p]-differentiatiability (Allahviranloo et al. 2015b) and the main purpose of this section is to … changing flint in zippo lighterWebApr 12, 2024 · PDF We have shown how to solve 1-D fourth order parabolic linear PDE with varable coefficients in this article. We have applied the Elzaki transform... Find, read and cite all the research you ... harish shownkeen m.dchanging flight time with spirit airlinesWebSep 11, 2015 · The HPM will be studied for fuzzy initial value problems involving partial parabolic differential equations. Also HPM will be constructed and formulated to obtain an approximate analytical... changing float in toiletWebApr 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. harish shownkeen central dupage hospitalWebThe 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 ... harish shetty psychiatristWebA known influx of heat occurs in some parts of the loop whereas heat efflux takes place in others. By using space-averaged values of the fluid velocity and -dimensional one approximation for the fluid temperature, the resulting integro-differential equations for linear momentum and thermal energy are converted to a nonlinear dynamical system. harish singhal