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References (42)
-
(1955)
Jr -
(1983)
The first boundary value problem for a nonlinear equation of parabolic type (in Russian) -
(2002)
Estimates of a stabilization rate as t→∞t\to\infty of solutions of a nonlinear integro-differential equation -
Yanping Lin, H. Yin (1992)
Nonlinear parabolic equations with nonlinear functionalsJournal of Mathematical Analysis and Applications, 168
-
J. Douglas, D. Peaceman (1955)
Numerical solution of two‐dimensional heat‐flow problemsAiche Journal, 1
-
(1988)
Quasilinear parabolic equations that have a Volterra operator in the coefficients (in Russian),Mat -
(1955)
On the numerical integration of ∂2u/∂x2 + ∂2u/∂y2 = ∂u/∂t by implicit methods -
A. Samarskii, VD Radulescu (2001)
The Theory of Difference Schemes -
(2008)
Asymptotic behavior of the solution of a nonlinear integrodifferential diffusion equation -
F. Hecht (2012)
New development in freefem++, 20
-
T. Jangveladze, Z. Kiguradze (2010)
Asymptotics for large time of solutions to nonlinear system associated with the penetration of a magnetic field into a substanceApplications of Mathematics, 55
-
J. Douglas (1955)
On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit MethodsJournal of The Society for Industrial and Applied Mathematics, 3
-
251
J. Numer. Math., 20
-
(1988)
Quasilinear parabolic equations that have a Volterra operator in the coefficients -
T. Dzhangveladze (1983)
First boundary-value problem for a nonlinear equation of parabolic type -
(1983)
Existence and uniqueness of the solution of a class of nonlinear parabolic problems -
(1967)
The Method of Fractional Steps for Solving Multidimensional Problems of Mathematical Physics (in Russian), Izdat -
(1998)
Convergence of a difference scheme for a nonlinear integro-differential equation -
T. Jangveladze, Z. Kiguradze, B. Neta (2015)
Numerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations -
(1962)
Solubility of boundary-value problems for quasi-linear parabolic equations of higher orders -
517
Differ. Uravn., 44
-
D. Peaceman, H. Rachford (1955)
The Numerical Solution of Parabolic and Elliptic Differential EquationsJournal of The Society for Industrial and Applied Mathematics, 3
-
J. Kacur (1988)
Application of Rothe's method to evolution integrodifferential equations.Journal für die reine und angewandte Mathematik (Crelles Journal), 1988
-
T. Jangveladze, Z. Kiguradze, B. Neta (2009)
Large time behavior of solutions to a nonlinear integro-differential systemJournal of Mathematical Analysis and Applications, 351
-
(2008)
Asymptotic behavior of the solution of a nonlinear integrodifferential diffusion equation (in Russian) -
T. Jangveladze, Z. Kiguradze (2008)
Large Time Behavior of Solutions to One Nonlinear Integro-Differential Equation, 15
-
T. Jangveladze, Z. Kiguradze (2002)
Estimates of a Stabilization Rate as 𝑡 → ∞ Solutions of a Nonlinear Integro-Differential Equation, 9
-
(1997)
On one class of nonlinear integro-differential parabolic equations -
T. Jangveladze, Z. Kiguradze, B. Neta, S. Reich (2012)
Finite element approximations of a nonlinear diffusion model with memoryNumerical Algorithms, 64
-
Brigitte Maier (2016)
Electrodynamics Of Continuous Media -
(1984)
Existence and uniqueness of the solution of a class of nonlinear parabolic problems (in Russian) -
Hong-lin Liao, Ying Zhao (2014)
Linearly localized difference schemes for the nonlinear Maxwell model of a magnetic field into a substanceAppl. Math. Comput., 233
-
839
Dokl. Akad. Nauk SSSR, 269
-
(1962)
Višik, Solubility of boundary-value problems for quasi-linear parabolic equations of higher orders,Mat -
(1985)
A nonlinear integro-differential equation of parabolic type (in Russian) -
J. Kacur (1986)
Method of rothe in evolution equations -
(1985)
A nonlinear integro-differential equation of parabolic type -
(1988)
Splitting Methods (in Russian) -
(1955)
On the numerical integration of ∂2u/∂x2+∂2u/∂y2=∂u/∂t\partial^{2}u/\partial x^{2}+\partial^{2}u/\partial y^{2}=\partial u/\partial t by implicit methods -
J. Lions (2017)
Quelques méthodes de résolution de problèmes aux limites non linéaires -
(1967)
The Method of Fractional Steps for Solving Multidimensional Problems of Mathematical Physics (in Russian) -
Z. Kiguradze (2010)
On asymptotic behavior and numerical resolution of one nonlinear Maxwell's model
- Publisher
- de Gruyter
- Copyright
- © 2020 Walter de Gruyter GmbH, Berlin/Boston
- ISSN
- 1572-9176
- eISSN
- 1572-9176
- DOI
- 10.1515/gmj-2019-2068
- Publisher site
- See Article on Publisher Site
Abstract
AbstractThe paper is devoted tothe construction and study of the additive averaged semi-discretescheme for one nonlinear multi-dimensional integro-differentialequation of parabolic type. The studied equation is based on thewell-known Maxwell’s system arising in mathematical simulation ofelectromagnetic field penetration into a substance.
Journal
Georgian Mathematical Journal – de Gruyter
Published: Sep 1, 2020