TY - JOUR
TI - A semi-implicit integration factor discontinuous Galerkin method for the non-linear heat equation
AU - Zhang Rongpei
AU - Yu Xijun
AU - Li Mingjun
AU - Wang Zhen
JN - Thermal Science
PY - 2019
VL - 23
IS - 3
SP - 1623
EP - 1628
PT - Article
AB - In this paper, a new discontinuous Galerkin method is employed to study the non-linear heat conduction equation with temperature dependent thermal conductivity. We present practical implementation of the new discontinuous Galerkin scheme with weighted flux averages. The second-order implicit integration factor for time discretization method is applied to the semi discrete form. We obtain the L2 stability of the discontinuous Galerkin scheme. Numerical examples show that the error estimates are of second order when linear element approximations are applied. The method is applied to the non-linear heat conduction equations with source term.