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There are several thermo-physical inverse problems discussed in the article, whose solution is based on non-stationery temperature field projection in the series. These series are obtained by means of separation of variables, which differs from a classic method of separation of variables and is especially convenient for solving various inverse thermo-physical problems. Abraham Temkin (1919-2007) was the first to apply this method for separation of variables. He has also created several methodsfatcat:sd3wb5vpmjdkbexx57mioyahqu