TY - JOUR TI - ANALYTICAL AND NUMERICAL METHODS FOR THERMAL SCIENCE AU - Cui Qiu-Na AU - Liu Fu-Juan AU - He Ji-Huan JN - Thermal Science PY - 2016 VL - 20 IS - 3 SP - 0 EP - 0 PT - Article AB - This paper gives a literature review on various analytical methods and numerical methods for heat problems. Fractal models and fractional models are emphasized. Beginning at the classic heat equation, fractional Fourier law and fractional conservation of energy are considered for 1-D heat equation in fractal media, its solution properties are discussed using the fractional complex transform. The emphasis of this literature review is put upon recent publications in Thermal Science, and the references are not exhaustive.