The Dual Integral Equations Method For Solving Nonstationary Heat Equation Under Mixed Boundary Conditions

The main goal in this paper is to investigate the temperature distribution function u(r,z,t) in an axial two-dimensional cylindrical symmetrical coordinates r,z for the half-space, r 0, z 0 under discontinuous mixed boundary conditions of die first and second kind acted on the surface z=0 by using dual integral equations method. The solution of the problem requires solving some type of dual integral equations with Bessel function as a kernel related to the non-stationary heat conduction problem by using the Laplace transform, these DIE are not available in any book or monograph