Numerical Method for the Inverse Boundary-Value Problem of the Heat Equation

The article considers the inverse boundary-value problem of heat conduction which involves determining the time distribution of temperature on the boundary given the spatial distribution of the temperature at the final time instant. The problem is reduced to an integral equation of the first kind wi...

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Bibliographic Details
Published in:	Computational mathematics and modeling Vol. 28; no. 2; pp. 141 - 147
Main Authors:	Dmitriev, V. I., Stolyarov, L. V.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2017 Springer Nature B.V
Subjects:	Applications of Mathematics Boundary value problems Computational Mathematics and Numerical Analysis Conduction heating Conductive heat transfer I. Inverse Problems Integral equations Iterative methods Mathematical analysis Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Numerical methods Optimization Spatial distribution Thermodynamics boundary-value problem for the heat equation method for solving inverse problems inverse problems
ISSN:	1046-283X, 1573-837X
Online Access:	Get full text
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