Asymptotics of the solution of the hyperbolic system with a small parameter

Asan ÖMÜRALİEV | Ella ABILAYEVA

Asymptotic study of singularly perturbed differential equations of hyperbolic type has received relatively little attention from researchers. In this paper, the asymptotic solution of the singularly perturbed Cauchy problem for a hyperbolic system is constructed. In addition, the regularization method for singularly perturbed problems of S. A. Lomov is used for the first time for the asymptotic solution of a hyperbolic system. It is shown that this approach greatly simplifies the construction of the asymptotics of the solution for singularly perturbed differential equations of hyperbolic type.

Makale 2022 Fen Fakültesi MANAS Journal of Engineering (MJEN)10 ( 2 ) 60 Görüntülenme

Ordinary differential equations with power boundary layers

Asan ÖMÜRALİEV | Ella ABILAYEVA

The regularized asymptotics of a solution of the Cauchy problem for systems of singularly perturbed ordinary differential equations is constructed. It is shown that a power boundary layer appears in such problems in addition to other boundary layers.

Makale 2019 Fen Fakültesi Journal of Mathematical Sciences242 ( 3 ) 46 Görüntülenme

Regularization of the Singularly Perturbed Cauchy Problem for a Hyperbolic System

Asan ÖMÜRALİEV | Ella ABILAYEVA

In this paper we construct the asymptotics of the solution of the Cauchy problem for a singularly perturbed hyperbolic system by using the regularization method for singularly perturbed problems of S.A. Lomov. The regularization method for singularly perturbed problems of S.A. Lomov is used for the first time to construct the asymptotic solution of a hyperbolic system.

Makale 2022 Fen Fakültesi Journal of Mathematical Sciences264 ( 4 ) 70 Görüntülenme

Regularized Asymptotics of the Solution of Systems of Parabolic Differential Equations

Asan ÖMÜRALİEV | Ella ABILAYEVA

The regularization method for singularly perturbed problems of S. A. Lomov is generalized to constructing the asymptotics of the solution of the first boundary value problem for systems of differential equations of parabolic type with a small parameter at all derivatives.It is shown that the asymptotics of the solution of the problem contains n exponential, 2n parabolic and 2n angle boundary layer functions.The exponential boundary layer function describes the boundary layer along t 0, the boundary layer along x 0 and x 1 is described by parabolic boundary layer functions. © 2022, University o ...Daha fazlası

Makale 2022 Fen Fakültesi Filomat36 ( 16 ) 21 Görüntülenme

Асимптотика решения параболической задачи при отсутствии спектра предельного оператора = Asymptotics of the solution to a parabolic problem with the limit operator having no spectra

Asan ÖMÜRALİEV

Строится регуляризованная асимптотика решения сингулярно возмущенной двумерной параболической задачи, когда предельный оператор не имеет спектра. В отличие от скалярной задачи, асимптотика решения двумерной задачи дополнительно содержит угловые параболические пограничные функции, которые описываются произведением параболических пограничных функций.

Makale 2012 Fen Fakültesi Журнал вычислительной математики и математической физики / Computational Mathematics and Mathematical Physics52 ( 7 ) 53 Görüntülenme

On the asymptotics of solution of one problem of optimal control of the small-parameter parabolic equation

Asan ÖMÜRALİEV | Ramiz RAFATOV

For the singularly perturbed parabolic problem, a regularized asymptotics of the solution of the problem of optimal control was constructed. The solution asymptotics involves parabolic boundary-layer functions obeying a special function called the “complementary probability integral.

Makale 2011 Fen Fakültesi Automation and Remote Control72 ( 1 ) 56 Görüntülenme

Об асимптотике решения одной задачи оптимального управления параболическим уравнением с малым параметром = On the Asymptotics of the Solution of an Optimal Control Problem for a Parabolic Equation with Small Parameter

Asan ÖMÜRALİEV | Ramiz RAFATOV

Cтроится регуляризованная асимптотика решения задачи оптимальногоуправления для сингулярно возмущенной параболической задачи. Асимптотика решения такой задачи содержит параболические погранслойные функции, описываемые специальной функцией, называемой “дополнительным интегралом вероятности”.

Makale 2011 Fen Fakültesi Автоматика и телемеханика / Automation and Remote Control ( 1 ) 145 Görüntülenme

Asymptotics of solutions to the time-dependent Schrödinger equation with a small Planck constant

Asan ÖMÜRALİEV

A regularized asymptotics of the solution to the time-dependent Schrödinger equation in which the spatial derivative is multiplied by a small Planck constant is constructed. It is shown that the asymptotics of the solution contains a rapidly oscillating boundary layer function. - Keywords: singularly perturbed time-dependent Schrödinger equation regularized asymptotics solutions

Makale 2007 Fen Fakültesi Computational Mathematics and Mathematical Physics47 ( 10 ) 71 Görüntülenme

Асимптотика решения временно́го уравнения Шрёдингера с малой константой Планка = Asymptotics of Solutions to the Time-Dependent Schrödinger Equation With a Small Planck Constant

Asan ÖMÜRALİEV

Cтроится регуляризованная асимптотика решения временнoго уравнения Шрёдингера, когда малая константа Планка стоит перед пространственной производной. Показано, что асимптотика решения содержит погранслойную функцию, имеющую быстро осциллирующий характер изменения

Makale 2007 Fen Fakültesi Журнал вычислительной математики и математической физики / Computational Mathematics and Mathematical Physics47 ( 10 ) 89 Görüntülenme

Regularization of a two-dimensional singularly perturbed parabolic problem

Asan ÖMÜRALİEV

A regularized asymptotic expansion of the solution to a singularly perturbed two-dimensional parabolic problem in domains with boundaries containing corner points is constructed. The asymptotics of solutions to such problems contain ordinary boundary-layer functions, parabolic boundary-layer functions, and their products, which describe a corner boundary layer. - Keywords: singularly perturbed parabolic problems parabolic boundary layer regularized asymptotics

Makale 2006 Fen Fakültesi Computational Mathematics and Mathematical Physics46 ( 8 ) 45 Görüntülenme

Регуляризация двумерной сингулярно возмущенной параболической задачи / Regularization of a Two-Dimensional Singularly Perturbed Parabolic Problem

Asan ÖMÜRALİEV

Строится регуляризованная асимптотика решения сингулярно возмущенной двумерной параболической задачи в областях с угловыми точками границы. Асимптотика решения таких задач содержит как обыкновенные погранслойные функции, так и параболические погранслойные функции и их произведения, которые описывают угловой пограничный слой.

Makale 2006 Fen Fakültesi Журнал вычислительной математики и математической физики / Computational Mathematics and Mathematical Physics46 ( 8 ) 36 Görüntülenme

A Singularly Perturbed System of Parabolic Equations

Asan ÖMÜRALİEV | Peyil Esengul Kızı

The work is devoted to the construction of the asymptotic behavior of the solution of a singularly perturbed system of equations of parabolic type, in the case when the limit equation has a regular singularity as the small parameter tends to zero. The asymptotics of the solution of such problems contains boundary layer functions.

Makale 2021 Fen Fakültesi Lobachevskii Journal of Mathematics42 ( 15 ) 77 Görüntülenme

Detaylı Arama

Filtreler

Koleksiyon [1]

Araştırmacılar [10]

BM Sürdürülebilir Kalkınma [3]

Fakültesi / Enstitütü [2]

Yayın Türü [2]

Yayımlanma Yılı [12]

Dil [3]

Kaynak [14]

Veri Tabanları [10]

İndex Türü [7]

İndex Türü 2 [2]

Yayıncı [9]

Bölümü [2]

Ulusal/Uluslararası [2]

Konu Başlıkları [35]

Asymptotics of the solution of the hyperbolic system with a small parameter

Asan ÖMÜRALİEV | Ella ABILAYEVA

Ordinary differential equations with power boundary layers

Asan ÖMÜRALİEV | Ella ABILAYEVA

Regularization of the Singularly Perturbed Cauchy Problem for a Hyperbolic System

Asan ÖMÜRALİEV | Ella ABILAYEVA

Regularized Asymptotics of the Solution of Systems of Parabolic Differential Equations

Asan ÖMÜRALİEV | Ella ABILAYEVA

Асимптотика решения параболической задачи при отсутствии спектра предельного оператора = Asymptotics of the solution to a parabolic problem with the limit operator having no spectra

Asan ÖMÜRALİEV

On the asymptotics of solution of one problem of optimal control of the small-parameter parabolic equation

Asan ÖMÜRALİEV | Ramiz RAFATOV

Asan ÖMÜRALİEV | Ramiz RAFATOV

Asymptotics of solutions to the time-dependent Schrödinger equation with a small Planck constant

Asan ÖMÜRALİEV

Асимптотика решения временно́го уравнения Шрёдингера с малой константой Планка = Asymptotics of Solutions to the Time-Dependent Schrödinger Equation With a Small Planck Constant

Asan ÖMÜRALİEV

Regularization of a two-dimensional singularly perturbed parabolic problem

Asan ÖMÜRALİEV

Регуляризация двумерной сингулярно возмущенной параболической задачи / Regularization of a Two-Dimensional Singularly Perturbed Parabolic Problem

Asan ÖMÜRALİEV

A Singularly Perturbed System of Parabolic Equations

Asan ÖMÜRALİEV | Peyil Esengul Kızı