scholarly journals Hausdorff moments in an inverse problem for the heat equation: numerical experiment

2003 ◽  
Vol 19 (2) ◽  
pp. 253-264 ◽  
Author(s):  
Y V Kurylev ◽  
N Mandache ◽  
K S Peat
Keyword(s):  
Inverse Problem ◽  
Numerical Experiment ◽  
Heat Equation

scholarly journals Numerical method of identification of an unknown source term in a heat equation

2002 ◽  
Vol 8 (2) ◽  
pp. 161-168 ◽  
Author(s):  
Afet Golayoğlu Fatullayev
Keyword(s):  
Inverse Problem ◽  
Heat Equation ◽  
Numerical Method ◽  
Minimization Problem ◽  
Unknown Function ◽  
Source Term ◽  
Numerical Procedure ◽  
Numerical Examples ◽  
Unknown Source

A numerical procedure for an inverse problem of identification of an unknown source in a heat equation is presented. Approach of proposed method is to approximate unknown function by polygons linear pieces which are determined consecutively from the solution of minimization problem based on the overspecified data. Numerical examples are presented.

scholarly journals Identifying the heat sink

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
J. D. Audu ◽  
A. Boumenir ◽  
K. M. Furati ◽  
I. O. Sarumi
Keyword(s):  
Inverse Problem ◽  
Heat Equation ◽  
Temperature Profile ◽  
Spectral Methods ◽  
Heat Sink ◽  
Evolution Equations ◽  
Identification Problem ◽  
One Dimensional ◽  
Finite Dimensional ◽  
Pseudo Spectral

<p style='text-indent:20px;'>In this paper we examine the identification problem of the heat sink for a one dimensional heat equation through observations of the solution at the boundary or through a desired temperature profile to be attained at a certain given time. We make use of pseudo-spectral methods to recast the direct as well as the inverse problem in terms of linear systems in matrix form. The resulting evolution equations in finite dimensional spaces leads to fast real time algorithms which are crucial to applied control theory.</p>

scholarly journals Inverse problem for the heat equation and the Schrödinger equation on a tree

2011 ◽  
Vol 28 (1) ◽  
pp. 015011 ◽  
Author(s):  
Liviu I Ignat ◽  
Ademir F Pazoto ◽  
Lionel Rosier
Keyword(s):  
Inverse Problem ◽  
Schrödinger Equation ◽  
Heat Equation ◽  
Schrodinger Equation

The BC-method in the inverse problem for the heat equation

1997 ◽  
Vol 5 (4) ◽  
Author(s):  
S. A. AVDONIN ◽  
M. I. BELISHEV† ◽  
Yu. S. ROZHKOV
Keyword(s):  
Inverse Problem ◽  
Heat Equation

scholarly journals Determination of conductivity in a heat equation

2000 ◽  
Vol 24 (9) ◽  
pp. 589-594 ◽  
Author(s):  
Ping Wang ◽  
Kewang Zheng
Keyword(s):  
Numerical Simulation ◽  
Inverse Problem ◽  
Approximate Solution ◽  
Heat Equation ◽  
Ill Posed ◽  
Smooth Data

We consider the problem of determining the conductivity in a heat equation from overspecified non-smooth data. It is an ill-posed inverse problem. We apply a regularization approach to define and construct a stable approximate solution. We also conduct numerical simulation to demonstrate the accuracy of our approximation.

Inverse problem for the heat equation with degeneration

2005 ◽  
Vol 57 (11) ◽  
pp. 1825-1835 ◽  
Author(s):  
M. I. Ivanchov ◽  
N. V. Saldina
Keyword(s):  
Inverse Problem ◽  
Heat Equation

scholarly journals An Inverse Problem for the Heat Equation II

2002 ◽  
Vol 81 (4) ◽  
pp. 929-937 ◽  
Author(s):  
A.G. Ramm
Keyword(s):  
Inverse Problem ◽  
Heat Equation
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