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

摘要

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.