Dual Integral equations dealing with robin’s boundary conditions

الملخص EN

The main purpose of this paper is to illustrate how to reduce a solution of heat equation in cylindrical coordinates under discontinuous mixed boundary conditions of the third kind which act on the surface of infinite plate to some type of dual integral equations.

We introduce a new approach which depends on using the inverse Hankel transform to deal with these dual integral equations when a mixed boundary conditions of the third kind are given for different types of coordinate systems.

As far as we know, the inverse Hankel transform has not been used to deal with such kind of problems.