Inverse boundary-value problem of heat conduction for a two-dimensional domain

An approximate solution of a two-dimensional inverse problem is constructed on the basis of a solution of the Cauchy problem obtained in the form of a series in the derivatives and the Tikhonov regularization method.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 40, No. 2, pp. 352–358, February, 1981.