One mathematical model for internal thermal transport with movement of the heat source along a boundary

The paper considers solution of two-dimensional equations of thermal transport with constant-velocity motion of the heat source along one surface of a plate. The problem is solved by using finite integral Fourier transforms with subsequent improvement in the convergence of the corresponding Fourier series. Recommendations are made for the use of the solution obtained in engineering practice.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 38–40, April, 1996.