[PDF] Top 20 Determination of a source in the heat equation from integral observations
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Determination of a source in the heat equation from integral observations
... determine heat source functions depending on both space and time, but which are the sum of two unknown components depending separately on space and time, with known weights depending on time and space, ... See full document
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Determination of an Unknown Source in the Heat Equation by the Method of Tikhonov Regularization in Hilbert Scales
... In this paper, we consider the problem for determining an unknown source in the heat equation. The Tikhonov regularization method in Hilbert scales is presented to deal with ill-posedness of the ... See full document
8
A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation
... time-dependent heat source and the temperature for the heat equation with Dirichlet boundary conditions and an integral over-determination ...the equation as a base of the ... See full document
13
An inverse time-dependent source problem for the heat equation with a non-classical boundary condition
... time-dependent source problems for the heat equation with local, nonlocal, integral or nonclassical (boundary) conditions have become the point of interest in many recent papers, [10, 12, 13, ... See full document
21
The inverse problem of the heat equation with periodic boundary and integral overdetermination conditions
... In the present work, one heat moment is used with a periodic boundary condition for the determination of a source coefficient.The existence and uniqueness of the classical solution of the problem ... See full document
9
Determination of an additive time-and space-dependent coefficient in the heat equation
... parabolic heat equation consisting of determining the unknown radiative/absorption/perfusion coefficient depending on both time and space have re- cently received some attention, (Deng et ...the heat ... See full document
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Identification of the pollution source of a parabolic equation with the time dependent heat conduction
... the determination of the heat source under this separate ...a heat source which is time-depending only [, , ] or space-depending only [, , ...the heat source F(x, t) ... See full document
15
Determination of conductivity in a heat equation
... 3. A numerical example. To demonstrate the applicability of our approximation approach, we consider the example in Section 2. Replacing the Euler integral equa- tion (2.2) by its finite difference approximation on a ... See full document
6
Two dimensional determination of source terms in linear parabolic equation from the final overdetermination
... time-dependent heat source H(t) of the separable sources of the form g(x, t) = F(x)H(t) is investigated in ...and heat ra- diative coefficient was investigated in [] by using the measurement of ... See full document
14
Determination of source term for the fractional Rayleigh–Stokes equation with random data
... In the future, there will be a large number of applications of fractional diffusion equations, especially in physics, environment, and some other areas [1–5]. Not only do these applica- tions appear in fluid flow and ... See full document
16
Determination of a nonlinear source term in a diffusion equation with final observations
... an integral identity connecting unknown source terms with known data that are a principal tool in the analysis of the inverse ...a source term solution showing an existence of the inverse problem ... See full document
13
APPLICATION OF INTEGRAL TRANSFORM TECHNIQUE IN DETERMINATION OF THERMAL STRESSES WITH INTERNAL MOVING HEAT SOURCE
... In this paper the problem is defined for the homogeneous boundary conditions of first, second and third kind. Temperature has been determined using finite Fourier sine transform finite Fourier cosine transform, finite ... See full document
11
Natural Convection of Non-Newtonian Fluids in a Square Cavity with a Localized Heat Source
... the heat transfer and flow field were affected by the Rayleigh number and n (the power-law ...constant heat flux applied to the vertical walls, this variation was ... See full document
12
AN INTEGRAL ENERGY EQUATION MODEL FOR HEAT CONVECTION TO TURBULENT BOUNDARY LAYER ON A FLAT PLATE
... the heat transfer characteristics of turbulent flow over flat ...convective heat transfer with appreciable buoyancy effect over a heated or cooled horizontal flat plate by solving four equations for mean ... See full document
8
CFD Study of Thermal Comfort in Urban Area
... and heat transfer is modeled through the standard k-ε high Reynolds model ...a heat sink. In the momentum conservation equations two source terms are added: one corresponds to thermal buoyancy and ... See full document
11
A Simple Closed Form Solution to Single Layer Heat Spreading Angle Appropriate for Microwave Hybrid Modules
... form equation for heat spread- ing assuming there was a spreading section and non-spreading section [1] in the heat ...for heat transfer in integrated circuits ...of heat transfer and ... See full document
10
On the Inverse Problem of Dupire’s Equation with Nonlocal Boundary and Integral Conditions
... heat equation. Black-Scholes PDE, even though explicitly not a heat equation, can be trans- formed into a heat equation like the above with suitable transformation of va- ...the ... See full document
7
Shape-from-shading using the heat equation
... an integral part of shape-from shading or shape-from-texture ...proceeds from the occluding boundary and involves incrementing the surface height by an amount deter- mined by the distance ... See full document
16
Influence of plant cover on the share of the soil heat flux in the heat balance of the active surface
... The surface, through which the exchange between energy and matter takes place, is called an active surface. Hence, both the surface of the bare soil and that of a field with well-developed plant cover can be qualified as ... See full document
6
The application of discrete homotopy analysis method in one-dimensional thermal problem
... This aim of this report is to apply the discrete Homotopy analysis method for solving one-dimensional thermal problem. This report consists of five chapters and it is organised as follows. In chapter 1, the introduction, ... See full document
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