Results 1 to 10 of about 1,364,858 (220)
On a hyperbolic-parabolic mixed type equation
Discrete and Continuous Dynamical Systems - Series S, 2017 In this paper, the hyperbolic-parabolic mixed type equation \begin{document}$\frac{\partial u}{\partial t} = Δ A(u)+\text{div}(b(u)),\ \ (x,t)∈ Ω × (0,T),$ \end{document} with the homogeneous boundary condition is considered.
Huashui Zhan
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The numerical solution of the nonlinear hyperbolic-parabolic heat equation
Discrete and Continuous Models and Applied Computational ScienceThe article discusses a mathematical model and a finite-difference scheme for the heating process of an infinite plate. The disadvantages of using the classical parabolic heat equation for this case and the rationale for using the hyperbolic heat ...
Vladislav N. Khankhasaev +1 more
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Simulation of fluid outflow from a channel with complex geometry [PDF]
E3S Web of Conferences, 2020 Topic of the paper is the simulation of fluid outflow from a channel with complex geometry. Subject of the study is the outflow of fluid from a channel with an arbitrary section, in particular, consisting of a parabolic inlet, cylindrical middle and ...
Karimov K +3 more
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Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation
Universal Journal of Mathematics and Applications, 2023 In this paper, the Lakshmanan-Porsezian-Daniel (LPD) equation is studied. New analytical rational solitons to the LPD equation are presented by an ansatz method.
İlker Burak Giresunlu, Bengi Yıldız
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Discrete and Continuous Models and Applied Computational Science, 2021 In this work, a numerical study of the solutions of the parabolic and hyperbolic equations of heat conduction with the same physical parameters is carried out and a comparative analysis of the results obtained is carried out. The mathematical formulation
Ilkizar V. Amirkhanov +2 more
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The Bitsadze–Samarskii problem for some characteristically loaded hyperbolic-parabolic equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 The paper considers a characteristically loaded equation of a mixed hyperbolic-parabolic type with degeneration of order in the hyperbolicity part of the domain.
Kazbek Uzeirovich Khubiev
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Inverse source problem for an equation of mixed parabolic-hyperbolic type with the time fractional derivative in a cylindrical domain [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 This article is devoted to the study of an inverse source problem for a mixed type equation with a fractional diffusion equation in the parabolic part and a wave equation in the hyperbolic part of a cylindrical domain.
Durdimurod K. Durdiev
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On nonlocal boundary value problems for hyperbolic-parabolic equations [PDF]
Taiwanese Journal of Mathematics, 2007 A numerical method is proposed for solving the hyperbolic-parabolic partial differential equations with nonlocal boundary condition. The first and second order of accuracy difference schemes are presented. The method is illustrated by numerical examples.
Ashralyev, Allaberen, Ozdemir, Yildirim
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Dezin problem analog for a parabolic-hyperbolic type equation with periodicity condition [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 In this paper we consider an inhomogeneous second-order parabolic-hyperbolic mixed type equation, represented as one-dimensional heat equation in the parabolic part and the one-dimensional wave equation in the hyperbolic part. For the equation, an analog
Romazan A. Kirzhinov
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A Computationally Efficient Dynamic Grid Motion Approach for Arbitrary Lagrange–Euler Simulations
Fluids, 2023 The present article addresses the topic of grid motion computation in Arbitrary Lagrange–Euler (ALE) simulations, where a fluid mesh must be updated to follow the displacements of Lagrangian boundaries.
Antonin Leprevost +2 more
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