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Regularized numerical solution of nonlinear inverse heat-conduction problem

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Abstract

The construction of an algorithm for a numerical solution of the nonlinear inverse problem is discussed for the case of a generalized one-dimensional heat-conduction equation in a region with moving boundaries. The algorithm is regularized in the Tikhonov manner.

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Literature cited

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 29, No. 1, pp. 159–164, July, 1975.

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Alifanov, O.M., Artyukhin, E.A. Regularized numerical solution of nonlinear inverse heat-conduction problem. Journal of Engineering Physics 29, 934–938 (1975). https://doi.org/10.1007/BF00860643

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  • DOI: https://doi.org/10.1007/BF00860643

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