TY - JOUR
T1 - An unconditionally stable numerical method for the viscous cahn-hilliard equation
AU - Shin, Jaemin
AU - Choi, Yongho
AU - Kim, Junseok
PY - 2014/1/1
Y1 - 2014/1/1
N2 - We present an unconditionally stable finite difference method for solving the viscous Cahn-Hilliard equation. We prove the unconditional stability of the proposed scheme by using the decrease of a discrete functional. We present numerical results that validate the convergence and unconditional stability properties of the method. Further, we present numerical experiments that highlight the different temporal evolutions of the Cahn-Hilliard and viscous Cahn-Hilliard equations.
AB - We present an unconditionally stable finite difference method for solving the viscous Cahn-Hilliard equation. We prove the unconditional stability of the proposed scheme by using the decrease of a discrete functional. We present numerical results that validate the convergence and unconditional stability properties of the method. Further, we present numerical experiments that highlight the different temporal evolutions of the Cahn-Hilliard and viscous Cahn-Hilliard equations.
KW - Cahn-Hilliard equation
KW - Finite-difference method
KW - Multigrid method
KW - Unconditionally stable scheme
KW - Viscous Cahn-Hilliard equation
UR - http://www.scopus.com/inward/record.url?scp=84904913983&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84904913983&partnerID=8YFLogxK
U2 - 10.3934/dcdsb.2014.19.1737
DO - 10.3934/dcdsb.2014.19.1737
M3 - Article
AN - SCOPUS:84904913983
SN - 1531-3492
VL - 19
SP - 1737
EP - 1747
JO - Discrete and Continuous Dynamical Systems - Series B
JF - Discrete and Continuous Dynamical Systems - Series B
IS - 6
ER -