Numerical Solutions to Some Generalized Thermo Elastic Models

Transient heat transfer problems usually involve the solution of the classical Fourier heat Conduction equation which is a parabolic character as a consequence a perturbed heat signal propagates with an infinite velocity through the medium. That is if an isotropic homogeneous elastic continuum is subjected to a mechanical or thermal disturbance the effect of the disturbance will be felt instantaneously at distances infinitely far from its source. Such behavior is physically inadmissible and contradicts the existing theories of heat transport mechanisms.