Results 11 to 20 of about 745 (246)
Numerical solution of hyperbolic heat conduction equation
Mathematical Modelling and Analysis, 2009 Hyperbolic heat conduction problem is solved numerically. The explicit and implicit Euler schemes are constructed and investigated. It is shown that the implicit Euler scheme can be used to solve efficiently parabolic and hyperbolic heat conduction ...
Raimondas Čiegis
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Reduced Differential Transform Method for Thermoelastic Problem in Hyperbolic Heat Conduction Domain
International Journal of Applied Mechanics and Engineering, 2021 In the present study, we have applied the reduced differential transform method to solve the thermoelastic problem which reduces the computational efforts.
K.K. Chaudhari, C.S. Sutar
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Freezing of Biological Tissues During Cryosurgery Using Hyperbolic Heat Conduction Model
Mathematical Modelling and Analysis, 2015 This paper considers hyperbolic heat conduction model for biological tissue freezing during cryosurgery with non ideal property of tissue, metabolism and blood perfusion.
Sonalika Singh, Sushil Kumar
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Mathematical Modelling and Analysis, 2011 This paper is concerning with the 1-D initial–boundary value problem for the hyperbolic heat conduction equation. Numerical solutions are obtained using two discretizations methods – the finite difference scheme (FDS) and the difference scheme with the ...
Harijs Kalis, Andris Buikis
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Operational Approach and Solutions of Hyperbolic Heat Conduction Equations [PDF]
Axioms, 2016 We studied physical problems related to heat transport and the corresponding differential equations, which describe a wider range of physical processes. The operational method was employed to construct particular solutions for them.
Konstantin Zhukovsky
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The Extended Hyperbolic Function Method for Generalized Forms of Nonlinear Heat Conduction and Huxley Equations [PDF]
Journal of Applied Mathematics, 2012 The extended hyperbolic function method is used to derive abundant exact solutions for generalized forms of nonlinear heat conduction and Huxley equations.
Yong Huang, Yadong Shang
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ANALYTICAL SOLUTIONS OF HYPERBOLIC MODELS OF NON-STATIONARY HEAT CONDUCTION
Тонкие химические технологии, 2018 Practically important problems of non-stationary heat conduction for hyperbolic transport models are considered. An analytical approach based on contour integration of operational solutions of hyperbolic models is developed.
E. M. Kartashov
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Hyperbolic heat conduction equation (HHCE)
, 2006 It is shown that for ultra short time scales the parabolic heat conduction equation fails and, therefore, the hyperbolic heat conduction equation must be used. Furthermore, a derivation of the HHCE is given in the frame of the extended thermodynamics. A simple and easy to understand explanation of the physical meaning of the temperature relaxation time
Hüttner, Bernd
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Scientific Reports, 2021 The quest for high-performance of heat transfer components on the basis of accommodating shapes, smaller weights, lower costs and little volume has significantly diverted the industries for the enhancement of heat dissipation with variable thermal ...
Basma Souayeh, Kashif Ali Abro
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Hangkong gongcheng jinzhan, 2020 The heat conduction structure design of electronic equipment is an effective method to solve the thermal protection problem of aircraft electronic equipment. The experiential-based traditional design method has the problems of long design period, and can'
XUE Hongjun, TAO Caiyong, DANG Sina
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