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[PDF] Top 20 An inverse problem of finding the time-dependent thermal conductivity from boundary data

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An inverse problem of finding the time-dependent thermal conductivity from boundary data

An inverse problem of finding the time-dependent thermal conductivity from boundary data

... the inverse problem of determining the time-dependent thermal conductivity and the transient temperature satisfying the heat equation with initial data, Dirichlet ... See full document

15

Reconstruction of time-dependent coefficients from heat moments

Reconstruction of time-dependent coefficients from heat moments

... the inverse problems of simultaneous numerical reconstruction of time-dependent thermal conductivity and con- vection coefficients in a one-dimensional parabolic equation from ... See full document

26

Identification of the time-dependent conductivity of an inhomogeneous diffusive material

Identification of the time-dependent conductivity of an inhomogeneous diffusive material

... of inverse problems which require determining a time-dependent thermal con- ductivity when the spacewise dependent heat capacity is given for the heat parabolic equation under ... See full document

33

A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation

A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation

... the inverse problem of determining the time-dependent heat source and the temperature for the heat equation with Dirichlet boundary conditions and an integral over-determination ... See full document

13

An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions

An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions

... the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution of heat equation with nonlocal boundary conditions is ...input data, the ... See full document

16

Identification of a heterogeneous orthotropic conductivity in a rectangular domain

Identification of a heterogeneous orthotropic conductivity in a rectangular domain

... the problem of identifying a heterogeneous transient orthotropic thermal conductivity in a two-dimensional rectangular domain using initial and Dirichlet boundary conditions and fluxes as ... See full document

15

Retrieving the time-dependent thermal conductivity of an orthotropic rectangular conductor

Retrieving the time-dependent thermal conductivity of an orthotropic rectangular conductor

... the thermal properties of an orthotropic planar structure characterised by the thermal conductivity tensor in the coordinate system of the main directions (Oxy) being ...the time- ... See full document

17

Analytical solution of bioheat transfer equation with variable thermal conductivity in skin

Analytical solution of bioheat transfer equation with variable thermal conductivity in skin

... The thermal properties of skin vary across different layers; even within the same ...of thermal methods have been developed and applied to the treatment of disease or injury involve either a raising or ... See full document

7

On the applicability of the moving line source theory to thermal response test under groundwater flow: considerations from real case studies

On the applicability of the moving line source theory to thermal response test under groundwater flow: considerations from real case studies

... analyze thermal response test (TRT) is unsuccessful when advection contributes to heat transfer in the ground, due to the presence of a groundwater ...TRT data are discussed. Two real TRT case studies ... See full document

17

Determination of a time-dependent thermal diffusivity and free boundary in heat conduction

Determination of a time-dependent thermal diffusivity and free boundary in heat conduction

... the boundary varies with time and such problems are known as free boundary or Stefan problems ...conduction problem within the remaining solid involves the heat equation in a domain that is ... See full document

15

Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two Dimensional in a Rectangular Domain

Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two Dimensional in a Rectangular Domain

... This problem is studied in ...the inverse problem of simultaneously determining the time-dependent thermal diffusivity and the temperature distribution in a parabolic equation in ... See full document

17

An inverse time-dependent source problem for the heat equation with a non-classical boundary condition

An inverse time-dependent source problem for the heat equation with a non-classical boundary condition

... The inverse problem of finding the time-dependent heat source together with the temperature in the heat equation, under a non-classical dynamic boundary condition and an integral ... See full document

21

A Methodology to Estimate Thermal Conductivity Using Inverse Method

A Methodology to Estimate Thermal Conductivity Using Inverse Method

... solved inverse heat conduction problems by using a back propagation neural (BPN) network to identify the unknown boundary ...classical boundary element method (BEM) combined with the least squares ... See full document

5

Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator

Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator

... We investigate a Sturm-Liouville operator with discontinuous coefficient and a spec- tral parameter in boundary conditions. The theoretic formulation of the operator for the problem is given in a suitable ... See full document

13

Reconstruction of an elliptical inclusion in the inverse conductivity problem

Reconstruction of an elliptical inclusion in the inverse conductivity problem

... heterogeneous conductivity of a medium from the Dirichlet-to- Neumann boundary map culminating with the proof in two dimensions [2] for the unique recovery of L ∞ ... See full document

17

Wavelet collocation solution of non-linear Fin problem with temperature dependent  thermal conductivity and heat transfer coefficient

Wavelet collocation solution of non-linear Fin problem with temperature dependent thermal conductivity and heat transfer coefficient

... The value of exponent n depends on the heat transfer mode. We choose three values (−1/4, 1/3, 3) of exponent n for laminar film boiling or condensation, turbulent natural convection and radiation respectively. ... See full document

14

Green’s function for the boundary value problem of the static Klein-Gordon equation stated on a rectangular region and its convergence analysis

Green’s function for the boundary value problem of the static Klein-Gordon equation stated on a rectangular region and its convergence analysis

... most inverse problems are ill-posed, many popular techniques for solving inverse problems use some sort of numerical ...observed data according to some ...observed data and the desired ... See full document

14

Inverse problem for Sturm-Liouville operators with a transmission and parameter dependent boundary conditions

Inverse problem for Sturm-Liouville operators with a transmission and parameter dependent boundary conditions

... on inverse Sturm–Liouville problems we refer ...investigated inverse spectra problems for a differential pencil and have determined a differential pencil from interior spectral ...new inverse ... See full document

13

Analysis of the inverse problem in a time fractional parabolic equation with mixed boundary conditions

Analysis of the inverse problem in a time fractional parabolic equation with mixed boundary conditions

... of problem plays a crucial role in engineering, physics and applied mathe- matics since it is used successfully to model complex phenomena in various fields such as fluid mechanics, viscoelasticity, physics, ... See full document

9

Quantitative mapping of nanothermal transport via Scanning Thermal Microscopy

Quantitative mapping of nanothermal transport via Scanning Thermal Microscopy

... or thermal. The study of thermal conductance at interfaces began with experiments on superfluidic ...a thermal resistance between helium and a solid, the Kapitza resistance ...of thermal ... See full document

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