A NOTE ON THE INTEGRAL APPROACH TO NON-LINEAR HEAT CONDUCTION WITH JEFFREY'S FADING MEMORY

Integral approach by using approximate profile is successfully applied to heat conduction equation with fading memory expressed by a Jeffrey's kernel. The solution is straightforward and the final form of the approximate temperature profile clearly delineates the viscous effects corresponding to the classical Fourier law and the relaxation (fading memory). The optimal exponent of the approximate solution is discussed in case of Dirichlet boundary condition.