A solution is given of integral equations of inverse problems of heat conduction by the method of successive approximations and also by means of expansions in orthogonal systems of functions. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 29, No. 1, pp. 120–123, July, 1975.
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G. Muntz, Integral Equations [Russian translation], GTTI, Moscow (1934).
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], GTTI, Moscow (1951).
M. M. Lavrent'ev, V. G. Vasil'ev, and V. G. Romanov, Multidimensional Inverse Problems for Differential Equations [in Russian], Nauka, Novosibirsk (1969).
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Cherpakov, P.V. Solution of integral equations of inverse problems of heat conduction. Journal of Engineering Physics 29, 903–906 (1975). https://doi.org/10.1007/BF00860636
- Statistical Physic
- Integral Equation
- Heat Conduction
- Inverse Problem
- Successive Approximation