Results 11 to 20 of about 214,382 (263)
Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets [PDF]
Journal of Sciences, Islamic Republic of Iran, 2019 In this paper we reduce a free boundary problem from heat transfer to a weakly Singular Volterra integral equation of the first kind. Since the first kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on ...
Bahman Babayar-Razlighi
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A method based on the SCT to solve the inverse problem for heat equation [PDF]
Journal of Applied Research on Industrial Engineering, 2023 In this article, a mathematical model of the inverse problem is considered. Based on this model a formulation of inverse problem for heat equation is proposed. Shifted Chebyshev Tau (SCT) method is suggested to solve the inverse problem.
Samaneh Akbarpour +2 more
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Conductive Heat Transfer in Thermal Bridges
Encyclopedia, 2022 A thermal bridge is a component of a building that is characterized by a higher thermal loss compared with its surroundings. Their accurate modeling is a key step in energy performance analysis due to the increased awareness of the importance of ...
Mathias Fuchs
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Newton’s law of heating and the heat equation [PDF]
Involve, a Journal of Mathematics, 2009 Newton’s law of heating models the average temperature in an object by a simple ordinary differential equation, while the heat equation is a partial differential equation that models the temperature as a function of both space and time. A series solution of the heat equation, in the case of a spherical body, shows that Newton’s law gives an accurate ...
Gockenbach, Mark, Schmidtke, Kristin
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A Variational Quantum Linear Solver Application to Discrete Finite-Element Methods
Entropy, 2023 Finite-element methods are industry standards for finding numerical solutions to partial differential equations. However, the application scale remains pivotal to the practical use of these methods, even for modern-day supercomputers.
Corey Jason Trahan +3 more
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A Skew Stochastic Heat Equation [PDF]
Journal of Theoretical Probability, 2012 We consider a stochastic heat equation driven by a space-time white noise and with a singular drift, where a local-time in space appears. The process we study has an explicit invariant measure of Gibbs type, with a non-convex potential. We obtain existence of a Markov solution, which is associated with an explicit Dirichlet form.
Bounebache, S.K., Zambotti, L.
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Convergence of the ‘relativistic’ heat equation to the heat equation as $c\to\infty$ [PDF]
Publicacions Matemàtiques, 2007 We prove that the entropy solutions of the so-called relativistic heat equation converge to solutions of the heat equation as the speed of light $L ^1(\mathbb{R}^N)\cap L^\infty(\mathbb{R}^N) $u _0 \geq 0.
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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper we consider inverse problems for a fractional heat equation, where the fractional time derivative is taken into account in Riemann-Liouville sense.
A.S. Erdogan +3 more
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MULTI-TERM TIME-FRACTIONAL DERIVATIVE HEAT EQUATION FOR ONE-DIMENSIONAL DUNKL OPERATOR
Вестник КазНУ. Серия математика, механика, информатика, 2022 In this paper, we investigate the well-posedness for Cauchy problem for multi-term time-fractional heat equation associated with Dunkl operator. The equation under consideration includes a linear combination of Caputo derivatives in time with decreasing ...
D. Serikbaev
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On the projection method for solving the heat equation with lumped heat capacity [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThis paper presents some results of the possibility of using the least squares projection method for solving heat equations with concentrated heat capacity on a half-line.
Seregina, Elena V. +1 more
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