Results 11 to 20 of about 181,693 (317)

Discontinuous mixed covolume methods for parabolic problems. [PDF]

ScientificWorldJournal, 2014
We present the semidiscrete and the backward Euler fully discrete discontinuous mixed covolume schemes for parabolic problems on triangular meshes. We give the error analysis of the discontinuous mixed covolume schemes and obtain optimal order error ...
Zhu A, Jiang Z, Jiang Z.
europepmc   +2 more sources

Study of ODE limit problems for reaction-diffusion equations [PDF]

Opuscula Mathematica, 2018
In this work we study ODE limit problems for reaction-diffusion equations for large diffusion and we study the sensitivity of nonlinear ODEs with respect to initial conditions and exponent parameters.
Jacson Simsen, Mariza Stefanello Simsen, Aleksandra Zimmermann   +2 more
doaj   +1 more source

On Construction of Partially Dimension-Reduced Approximations for Nonstationary Nonlocal Problems of a Parabolic Type

Mathematics, 2023
The main aim of this article is to propose an adaptive method to solve multidimensional parabolic problems with fractional power elliptic operators.
Raimondas Čiegis, Vadimas Starikovičius, Olga Suboč, Remigijus Čiegis   +3 more
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Initial-boundary value problem for higher-orders nonlinear elliptic-parabolic equations with variable exponents of the nonlinearity in unbounded domains without conditions at infinity

Математичні Студії, 2023
Initial-boundary value problems for parabolic and elliptic-parabolic (that is degenerated parabolic) equations in unbounded domains with respect to the spatial variables were studied by many authors.
M. M. Bokalo, O. V. Domanska
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On a Framework for the Stability and Convergence Analysis of Discrete Schemes for Nonstationary Nonlocal Problems of Parabolic Type

Mathematics, 2022
The main aim of this article is to propose a general framework for the theoretical analysis of discrete schemes used to solve multi-dimensional parabolic problems with fractional power elliptic operators. This analysis is split into three parts.
Raimondas Čiegis, Ignas Dapšys
doaj   +1 more source

Strongly nonlinear parabolic problems in Musielak-Orlicz-Sobolev spaces

Boletim da Sociedade Paranaense de Matemática, 2015
We prove in this paper the existence of solutions of strongly nonlinear parabolic problems in Musielak-Orlicz-Sobolev spaces. An approximation and a compactness results in inhomogeneous Musielak-Orlicz-Sobolev spaces have also been provided.
Mohamed Leimne Ahmed Oubeid, A. Benkirane, M. Sidi El Vally   +2 more
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On some nonlinear parabolic equations with variable exponents and measure data

Moroccan Journal of Pure and Applied Analysis, 2020
We prove the existence of renormalized solutions to a class of nonlinear evolution equations, supplemented with initial and Dirichlet condition in the framework of generalized Sobolev spaces. The data are assumed merely integrable.
Hamdaoui Bouchra El, Bennouna Jaouad
doaj   +1 more source

A priori error estimates of the local discontinuous Galerkin method on staggered grids for solving a parabolic equation for the homogeneous Dirichlet problem

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
In this paper, we present a priori error analysis of the solution of a homogeneous boundary value problem for a second-order differential equation by the Discontinuous Galerkin method on staggered grids. The spatial discretization is constructed using an
Ruslan V. Zhalnin, Victor Fedorovich Masyagin, Elizaveta Evgenievna Peskova, Vladimir Fedorovich Tishkin   +3 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
doaj   +1 more source

On maximal parabolic regularity for non-autonomous parabolic operators [PDF]

, 2016
We consider linear inhomogeneous non-autonomous parabolic problems associated to sesquilinear forms, with discontinuous dependence of time. We show that for these problems, the property of maximal parabolic regularity can be extrapolated to time ...
A.F.M. ter Elst, Adams, Agmon, Alt, Amann, Amann, Amann, Amann, Arendt, Arendt, Arendt, Arendt, Auscher, Bergh, Brewster, Cannarsa, Casas, Clément, Dautray, De Simon, Denk, Disser, Disser, Disser, Dong, Dong, Dore, Dore, Dore, Egert, Egert, Elschner, Elschner, Evans, Fackler, Fackler, Gallarati, Grisvard, Grisvard, Gröger, Haller-Dintelmann, Haller-Dintelmann, Haller-Dintelmann, Haller-Dintelmann, Haller-Dintelmann, Hieber, Hömberg, Jerison, Joachim Rehberg, Jonsson, Karoline Disser, Krumbiegel, Kunisch, Köhne, Lamberton, Lang, Lions, Maz'ja, Morrey, Prüss, Prüss, Prüss, Schnaubelt, Sneiberg, Tamm, ter Elst, ter Elst, ter Elst, Triebel, Vignati, Weis, Zanger   +71 more
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