Stabilization of a solution for two-dimensional loaded parabolic equation [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this paper we consider the stabilization problem of the solution of a boundary value problem for the heat equation with a loaded two-dimensional Laplace operator.
М.Т. Jenaliyev +3 more
doaj +2 more sources
Electronic Journal of Differential EquationsThis work is devoted to the unique solvability of the direct and inverse problems for a multidimensional heat equation with a fractional load in Holder spaces. In the problem under consideration, the loaded term is in the form of a fractional integral operator for the time variable.
Ravi P. Agarwal +3 more
doaj +3 more sources
A problem with the operator M. Saigo in the boundary condition for a loaded heat conduction equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The existence of a unique solution of the non-classical boundary value problem for the heat equation, the loaded value of the desired function $u(x, y)$ on the boundary $x = 0$ of the rectangular area $\Omega= \{ (x, t) : 0$ < $x$ < $l$, $0$ < $t$ < $T \}
Anna V Tarasenko
doaj +1 more source
On the non-uniqueness of the solution to a boundary value problem of heat conduction with a load in the form of a fractional derivative [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper deals with the second boundary value problem for the loaded heat equation in the first quadrant.
M.T. Kosmakova +2 more
doaj +3 more sources
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 In the article the Volterra integral equations of the second kind with the given kernel are investigated. This kind of integral equations arises in the solving of some boundary value problems for essential loaded differential heat operator in an ...
A.N. Yesbayev, G.A. Yessenbayeva
doaj +1 more source
A fractionally loaded boundary value problem two-dimensional in the spatial variable [PDF]
Қарағанды 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
Flow patterns and heat transfer for flow boiling in small to micro diameter tubes [PDF]
, 2008 An overview of the recent developments in the study of flow patterns and boiling heat transfer in small to micro diameter tubes is presented. The latest results of a long-term study of flow boiling of R134a in five vertical stainless steel tubes of ...
Karayiannis, TG +3 more
core +6 more sources
The Cauchy problem for the heat equation with a fractional load
Discrete and Continuous Dynamical Systems - Series SP Agarwal, Umida Baltaeva
exaly +2 more sources
The radial integration boundary integral and integro-differential equation methods for numerical solution of problems with variable coefficients [PDF]
, 2012 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The boundary element method (BEM) has become a powerful method for the numerical solution of boundary-value problems (BVPs), due to its ability (at least ...
Al-Jawary, Majeed
core +7 more sources
Nonlocal problem with the integral condition for a loaded heate equation [PDF]
Вестник КРАУНЦ. Физико-математические науки, 2021 В работе рассмотрена нелокальная задача с интегральным условием для нагруженного уравнения теплопроводности, где нагруженное слагаемое представляет собой производную второго порядка от неизвестной функции в начале координат. Доказано существование и единственность регулярного решения.
openaire +1 more source