APPLICATION OF DUAL INTEGRAL EQUATIONS IN HEAT EQUATION FOR UNBOUNDED PLATE

An analytical solution to a two-dimensional nonstationary nonhomogeneous heat equation in axially symmetrical cylindrical coordinates for an unbounded plate subjected to mixed boundary conditions of the fi rst and second kinds has been obtained. The application of the Laplace transform (L-transform) and the separation of variables result in the solution to the initial mixed boundary-value problem as the solution to a pair of dual integral equations (DIEs) with an unknown function dependent on the L-transform parameter. The DIEs solution is proposed by using the known discontinuous integrals and an infi nite series method. The Green’s function is used to determine the solution to the nonhomogeneous part of the problem.
   
Author:  N. A. Hoshan
Keywords:  nonstationary heat equation, dual integral equations, mixed boundary conditions, unbounded plate
Page:  625