Method of solving diffusion boundary-value problems for a region with a boundary moving in accordance with an arbitrary law

A general method is proposed for solving the boundary-value problem of the diffusion equation in a limited region with a boundary that moves in accordance with an arbitrary law. The method is used to solve the first linear diffusion problem. Other boundary-value problems can be solved in similar fashion.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 97–101, December, 1970.