Transient image principles for anisotropic diffusion with basic concepts and 2D linear analytical solutions

In this paper, based on the traditional method of images, new image principles for two-dimensional (2D) transient diffusion problems in limited anisotropic and inhomogeneous media are systematically developed. Using these principles for the first time, Green's functions for transient diffusion (heat conduction) phenomena for a bimaterial, quartmaterial and a two-layer spaces with limited anisotropic and inhomogeneous media are presented. The solutions are not only very useful for construction of the inverse and more complex direct solutions in many domains of applied science but also are the fundamentals for solutions of nonlinear systems which are linear convertible.