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Generalizing the Heat Equation
Revstat Statistical JournalThe target of this paper is to generalize the Heat Equation, highly related with the Normal distribution. Therefore a generalization of the Normal distribution, the gamma y- order Normal distribution is introduced, which influenced the entropy type ...
Christos Kitsos
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On Fractional Heat Equation [PDF]
Fractional Calculus and Applied Analysis, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kochubei, Anatoly N. +2 more
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Numerical Solution Of The Heat Equation By Cubic B-Spline Collocation Method
Eurasian Journal of Science and Engineering, 2023 This work proposes a numerical scheme for heat parabolic problem by implementing a collocation method with a cubic B-spline for a uniform mesh. The key idea of this method is to apply forward finite difference and Crank–Nicolson methods for time and ...
Hoshman Q. Hamad, Younis A. Sabawi
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Наука. Инновации. Технологии, 2022 Ntroduction. The current state of issues related to the study of the processes of dynamics of atmospheric phenomena, which are quite complex multiparameter in nature, requires a comprehensive approach.
J. L. Smerek +3 more
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Liouville theorems for Kirchhoff-type parabolic equations and system on the Heisenberg group
Open Mathematics, 2023 In this article, the Liouville theorems for the Kirchhoff-type parabolic equations on the Heisenberg group were established. The main technique for proving the result relies on the method of test functions.
Shi Wei
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On the Stability of Heat Equation [PDF]
Abstract and Applied Analysis, 2013 We prove the generalized Hyers-Ulam stability of the heat equation, , in a class of twice continuously differentiable functions under certain conditions.
Balázs Hegyi, Soon-Mo Jung
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A Set of New Stable, Explicit, Second Order Schemes for the Non-Stationary Heat Conduction Equation
Mathematics, 2021 This paper introduces a set of new fully explicit numerical algorithms to solve the spatially discretized heat or diffusion equation. After discretizing the space and the time variables according to conventional finite difference methods, these new ...
Endre Kovács +2 more
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Invariants of the heat equation [PDF]
Pacific Journal of Mathematics, 1985 Let M be a compact Riemannian manifold without boundary and \(P: C^{\infty}(V)\to C^{\infty}(V)\) be a self-adjoint elliptic differential operator with leading symbol p(x,\(\xi)\), a matrix for \(x\in M\) and \(\xi \in T^*M_ x\). The authors demonstrate that if p(x,\(\xi)\) is positive definite then the set \(\{e_ n(x,\exp (-tP))\}\), which are ...
Fegan, Howard D., Gilkey, Peter
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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 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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