Results 11 to 20 of about 41,565 (231)

Existence and uniqueness of the solution to initial and inverse problems for integro-differential heat equations with fractional load

Electronic Journal of Differential Equations
This 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, Umida Baltaeva, Florence Hubert, Boburjon Khasanov   +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, K.A. Izhanova, A.N. Khamzeyeva   +2 more
doaj   +3 more sources

On the integral equation of the boundary value problem for the essentially loaded differential heat operator

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, K.A. Izhanova, L.Zh. Kasymova   +2 more
doaj   +3 more sources

The Cauchy problem for the heat equation with a fractional load

Discrete and Continuous Dynamical Systems - Series S
P Agarwal, Umida Baltaeva
exaly   +2 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

Thermal Load and Heat Transfer in Dental Titanium Implants: an Exact Analytical Solution to the ‘Heat Equation’

Dentistry Journal, 2021
Introduction: Heat is a kinetic process whereby energy flows from between two systems; hot-to-cold objects. In oro-dental implantology, conductive heat transfer/(or thermal stress) is a complex physical phenomenon to analyze and consider in treatment planning.
Grigorios P. Panotopoulos, Ziyad S. Haidar   +1 more
openaire   +5 more sources

Investigation of the Convergence of a Multi-Grid Algorithm for Solving the Task of Pressure in the Thin Lubricating Film of the Non-Newtonian Fluid

Mathematics, 2022
The article describes a multi-grid algorithm for integrating the Reynolds equation for hydrodynamic pressures in the lubricating film of a heavy-loaded journal bearing.
Elena Zadorozhnaya, Igor Levanov, Igor Mukhortov, Vlad Hudyakov   +3 more
doaj   +1 more source

Evaluating the onset conditions of a thermoacoustic Stirling engine loaded with an audio loudspeaker

Frontiers in Thermal Engineering, 2023
This paper aims to evaluate the onset conditions of a thermoacoustic Stirling engine loaded with a commercially available audio loudspeaker. The thermoacoustic engine converts supplied heat power into mechanical power in the form of sound, without any ...
Shu-Han Hsu, Chuan-Heng Lai
doaj   +1 more source