  This is a series of studies devoted to modeling and solving heat and mass
transfer problems occurring in electric contacts where we employ and develop
mathematical apparatus along with quantum algorithms for solving moving
boundary value problems. In this particular study we utilize special functions
and demonstrate the use of Harrow-Hassidim-Lloyd (HHL) quantum algorithm for
finding exact and approximate solutions of Generalized Heat Equation with
moving boundaries and as examples we consider plane and spherical cases. In
spherical case the Generalized Heat Equation is reduced to linear moving
boundary value problem with discontinuous coefficients and solved exactly. In
plane case we use collocation method for approximate solution of Inverse
Two-Phase Stefan problem.
