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Numerical method for solving an initial-boundary value problem for a multidimensional loaded parabolic equation of a general form with conditions of the third kind [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
An initial-boundary value problem is studied for a multidimensional loaded parabolic equation of general form with boundary conditions of the third kind. For a numerical solution, a locally one-dimensional difference scheme by A.A.Samarskii with order of
Zaryana Beshtokova
doaj   +1 more source

CHARACTERISTIC PROBLEM FOR THE LOADED WAVE EQUATION WITH SPECIFIC CHANGES [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2015
In this paper the characteristic problem for the wave equation loaded with a special shift. A theorem on the uniqueness of the solution of the Goursat problem and find necessary conditions for its solvability.
A.Kh. Attaev
doaj   +1 more source

On the Correctness of Boundary Value Problems for the Two-Dimensional Loaded Parabolic Equation [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The paper studies the problems of the correctness of setting boundary value problems for a loaded parabolic equation. The a feature of the problems is that the order of the derivative in the loaded term is less than or equal to the order of the ...
A.K. Attaev   +2 more
doaj   +3 more sources

ON MATHEMATICAL MODELS OF THE ALLER EQUATION

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016
The solution to the Goursat problem is written out explicitly for a hyperbolic secondorder loaded equation, proposed as a mathematical model of Aller equation under certain conditions.
Khubiev K. U.
doaj   +1 more source

A problem with parameter for the integro-differential equations

open access: yesMathematical Modelling and Analysis, 2021
The article proposes a numerically approximate method for solving a boundary value problem for an integro-differential equation with a parameter and considers its convergence, stability, and accuracy. The integro-differential equation with a parameter is
Elmira A. Bakirova   +2 more
doaj   +1 more source

A fractionally loaded boundary value problem two-dimensional in the spatial variable [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
In the paper, the boundary value problem for the loaded heat equation is solved, and the loaded term is represented as the Riemann-Liouville derivative with respect to the time variable. The domain of the unknown function is the cone.
M.T. Kosmakova   +2 more
doaj   +3 more sources

ABOUT MODEL OF LOADED PARTIAL HYPERBOLIC-PARABOLIC DIFFERENTIAL EQUATION OF SECOND ORDER [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2015
We studied a models of loaded equation of mixed hyperbolic-parabolic type with characteristicly and not characteristicly modifying line. For the proposed equation models boundary value problem is considered and solutions is written out.
K.U. Khubiev
doaj   +1 more source

Baryonic loading and e^+e^- rate equation in GRB sources [PDF]

open access: yes, 2006
The expansion of the electron-positron plasma in the GRB phenomenon is compared and contrasted in the treatments of Meszaros, Laguna and Rees, of Shemi, Piran and Narayan, and of Ruffini et al.
Bianco, Carlo Luciano   +3 more
core   +2 more sources

A non-local problem for a loaded mixed-type equation with a integral operator

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
We study the existence and uniqueness of the solution of non-local boundary value problem for the loaded elliptic-hyperbolic equation $$ u_{xx} + \mathop{\mathrm{sgn}} (y) u_{yy} + \frac{1 - \mathop{\mathrm{sgn}} (y)}{2} \sum\limits_{k = 1}^n {R_k}(x, u ...
Obidjon Kh Abdullayev
doaj   +1 more source

Об одном аналоге задачи Трикоми для «точечно» нагруженного уравнения гиперболо-параболического типа

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021
Для нагруженного уравнения гиперболо-параболического типа исследуется однозначная разрешимость аналога задача Трикоми. Нагрузка определена в фиксированных точках области искомых решений, в том числе и во внутренних точках. Найдены условия существования и
Хубиев, К.У.
doaj   +1 more source

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