Abstract
Inverse problems arise in various fields of science, technology and agriculture where from measurements of state of the system or process it is required to determine a certain typesetting of the causal characteristics. It is known that infrigement of the natural causal relationships can entail incorrectness of the mathematical formulation of inverse problem. Therefore the development of efficient methods for solving such problems allow us to simplify experimental research considerably and to increase the accuracy and reliability of the obtained results due to certain complication of algoritms for processing the experemental data. The problem of the determination of the coefficient of thermal conductivity is among the incorrect inverse problem.
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Gustafsson, S., Karawacki, E.: Transient Hot-Strip Method for simultaneously measuring thermal conductivity and thermal diffusivity of solids and fluids. Journal Phys. D.: Appl.Phys. 12, 1411–1421 (1979)
Model, R., Hammerschmidt, U.: Numerical methods for the determination of thermal properties by means of transient measurements. Advanced Computational Methods in Heat Transfer, Wit Press, 6, 407–416 (2000)
Guseinov, Sh., Buikis, A.: Inverse heat transort problems for coefficients in two-layer domains and methods for their solution. Mathematical Modelling and Analysis, 7, (2) 217–228 (2002)
Buikis, A.: Conservative approximation by splines of differential equations with discontinuous coefficients. Numerical Analysis and Mathematical Modeling. Banach Center Publications, PWN, Warsaw, 24, 487–491 (1994)
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© 2004 Springer-Verlag Berlin Heidelberg
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Buikis, A., Guseinov, S. (2004). Conservative Averaging Method for Solutions of Inverse Problems for Heat Equation. In: Buikis, A., Čiegis, R., Fitt, A.D. (eds) Progress in Industrial Mathematics at ECMI 2002. The European Consortium for Mathematics in Industry, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09510-2_30
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DOI: https://doi.org/10.1007/978-3-662-09510-2_30
Publisher Name: Springer, Berlin, Heidelberg
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