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]
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
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CHARACTERISTIC PROBLEM FOR THE LOADED WAVE EQUATION WITH SPECIFIC CHANGES [PDF]
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
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On the Correctness of Boundary Value Problems for the Two-Dimensional Loaded Parabolic Equation [PDF]
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
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ON MATHEMATICAL MODELS OF THE ALLER EQUATION
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.
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A problem with parameter for the integro-differential equations
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
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A fractionally loaded boundary value problem two-dimensional in the spatial variable [PDF]
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
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ABOUT MODEL OF LOADED PARTIAL HYPERBOLIC-PARABOLIC DIFFERENTIAL EQUATION OF SECOND ORDER [PDF]
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
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Baryonic loading and e^+e^- rate equation in GRB sources [PDF]
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
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A non-local problem for a loaded mixed-type equation with a integral operator
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
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Об одном аналоге задачи Трикоми для «точечно» нагруженного уравнения гиперболо-параболического типа
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.
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