The dual integral equations method involving heat equation with mixed boundary conditions

Abstract

Paper is devoted to determine a solution of a steady state heat conduction  equation in axial  symmetric cylindrical coordinates subject to a mixed discontinuous boundary conditions of the third kind acted along a surfaces of a  solid unbounded plate.  The solution of the considered problem is obtained with the use of a Hankel integral transform, dual integral equations method and introduced to a Fredholm integral equation of the second kind.