TY - JOUR
TI - An energy-stable pseudospectral scheme for Swift-Hohenberg equation with its Lyapunov functional
AU - Zhou Jun
AU - Dai Xiaomin
JN - Thermal Science
PY - 2019
VL - 23
IS - 13
SP - 975
EP - 982
PT - Article
AB - We analyze a first order in time Fourier pseudospectral scheme for Swift-Hohenberg equation. One major challenge for the higher order diffusion non-linear systems is how to ensure the unconditional energy stability and we propose an efficient scheme for the equation based on the convex splitting of the energy. The¬oretically, the energy stability of the scheme is proved. Moreover, following the derived aliasing error estimate, the convergence analysis in the discrete l2-norm for the proposed scheme is given.