Abstract
The solution of the two-dimensional nonstationary heat conduction equation in axially symmetrical cylindrical coordinates for an unbounded plate is determined in this paper. A solution of the problem is given in the form of functional series, for which every term of a series represents an unknown function of a second kind integral equation. A new type of dual integral equations is used to solve a given boundary-value problem with the help of a Laplace transform and separation of variables.
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