Quasilinear Parabolic Equations Associated with Semilinear Parabolic Equations
Mathematics, 2023 We formulate a quasilinear parabolic equation describing the behavior of the global-in-time solution to a semilinear parabolic equation. We study this equation in accordance with the blow-up and quenching patterns of the solution to the original ...
Katsuyuki Ishii +2 more
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Parabolic Equation Modeling of Electromagnetic Wave Propagation over Rough Sea Surfaces [PDF]
Sensors, 2019 The parabolic equation is an efficient numerical solution for electromagnetic wave propagation. In order to address the difficulties in predicting electromagnetic wave propagation in the maritime environment caused by atmospheric dust and rough sea ...
Ying Gao +4 more
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The quasilinear parabolic kirchhoff equation
Open Mathematics, 2017 In this paper the existence of solution of a quasilinear generalized Kirchhoff equation with initial – boundary conditions of Dirichlet type will be studied using the Leray – Schauder principle.
Dawidowski Łukasz
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A family of difference schemes for fourth order parabolic partial differential equations [PDF]
, 1983 A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
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An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]
, 2011 We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
H. Mustapha +7 more
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Well-posedness of boundary value problems for reverse parabolic equation with integral condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2018 Reverse parabolic equation with integral condition is considered. Well-posedness of reverse parabolic problem in the Hölder space is proved. Coercive stability estimates for solution of three boundary value problems (BVPs) to reverse parabolic equation ...
Charyyar Ashyralyyev
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Higher order parallel splitting methods for parabolic partial differential equations [PDF]
, 1995 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
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On the Schrödinger-parabolic equation with multipoint nonlocal boundary condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2023 The nonlocal boundary value problem for a Schrödinger-parabolic equation with multipoint nonlocal boundary conditions is examined. Stability estimates for the solution of this problem are established.
Yıldırım Özdemir
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Parabolic Hessian Equations Outside a Cylinder
Mathematics, 2022 In this article, we mainly review the parabolic Hessian equation on the exterior region. The existence and uniqueness of solutions with asymptotic properties to the exterior problem of the parabolic Hessian equation were obtained by using the Perron ...
Limei Dai, Xuewen Guo
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An Iterative High-Accuracy ADI Method for the 3D Parabolic Equation
International Journal of Antennas and Propagation, 2023 The alternating direction implicit parabolic equation (ADI-PE) method and the Crank–Nicolson parabolic equation (CN-PE) method have been widely used for solving the 3D parabolic equation (3D-PE) in radio wave propagation.
Xiaoping Wu +3 more
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