TY - JOUR
TI - Convergence analysis of the energy-stable numerical schemes for the Cahn-Hilliard equation
AU - Kang Xiao-Rong
AU - Wu Yan-Mei
AU - Cheng Ke-Long
JN - Thermal Science
PY - 2022
VL - 26
IS - 2
SP - 1037
EP - 1046
PT - Article
AB - In this paper we present a second order numerical scheme for the  Cahn-Hilliard equation, with a Fourier pseudo-spectral approximation in  space. An additional Douglas-Dupont regularization term is introduced, which  ensures the energy stability. The bound of numerical solution in H2h and l∞ norms  are obtained at a theoretical level. Moreover, for the global nature of the  pseudo-spectral method, we propose a linear iteration algorithm to solve  the non-linear system, due to the implicit treatment for the non-linear  term. Some numerical simulations verify the efficiency of iteration  algorithm.