TY - JOUR
TI - Symmetry reduction a promising method for heat conduction equations
AU - Tian Yi
JN - Thermal Science
PY - 2019
VL - 23
IS - 4
SP - 2219
EP - 2227
PT - Article
AB - Though there are many approximate methods, e. g., the variational iteration  method and the homotopy perturbation, for non-linear heat conduction  equations, exact solutions are needed in optimizing the heat problems. Here  we show that the Lie symmetry and the similarity reduction provide a  powerful mathematical tool to searching for the needed exact solutions. Lie  algorithm is used to obtain the symmetry of the heat conduction equations  and wave equations, then the studied equations are reduced by the similarity  reduction method.