Results 11 to 20 of about 1,183,195 (322)
Comparative Study of the Execution Time of Parallel Heat Equation on CPU and GPU
Journal of Communications Software and Systems, 2021 Parallelization has become a universal technique for computing an intensive scientific simulation to shorten the execution time of complex problems. It consists of bringing together the power of several thousand processors to perform complex calculations
Safa Belhaous +3 more
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Numerical analysis of some partial differential equations with fractal-fractional derivative
AIMS Mathematics, 2023 In this study, we expanded the partial differential equation framework to which fractal-fractional differentiation can be applied. For this, we employed the generalized Mittag-Leffler function, and the fractal-fractional derivatives based on the power ...
Nadiyah Hussain Alharthi +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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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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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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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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Inflation driven by causal heat flux [PDF]
, 1997 We find a simple inflationary solution in an inhomogeneous spacetime with heat flux. The heat flux obeys a causal transport equation, and counteracts the inflationary decrease of energy density.
D. Pavòn +8 more
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Probabilistic representations of solutions to the heat equation [PDF]
, 2003 In this paper we provide a new (probabilistic) proof of a classical result in partial differential equations, viz. if $\phi$ is a tempered distribution, then the solution of the heat equation for the Laplacian, with initial condition $\phi$, is given by ...
Rajeev, B., Thangavelu, S.
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Advanced Nonlinear Studies, 2020 In this paper, we study global well-posedness and long-time asymptotic behavior of solutions to the nonlinear heat equation with absorption, ut-Δu+|u|αu=0{u_{t}-\Delta u+\lvert u\rvert^{\alpha}u=0}, where u=u(t,x)∈ℝ{u=u(t,x)\in\mathbb{R}}, (t,x)∈(0,∞)×
Mouajria Hattab +2 more
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AIMS Mathematics, 2021 In the present paper, we consider an important problem from the point of view of application in sciences and mechanic, namely, a class of p(x)-Laplacian type parabolic equation with weak-viscoelasticity.
Ahmed Himadan
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