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An unconditionally stable numerical method for the viscous Cahn--Hilliard equation

Junseok Kim, Yongho Choi, Jaemin Shin
2014 Discrete and continuous dynamical systems. Series B  
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. 2010 Mathematics
more » ... 2010 Mathematics Subject Classification. Primary: 65M06, 65M12; Secondary: 65M55.
doi:10.3934/dcdsb.2014.19.1737 fatcat:arnbzes3cbdmpa65uvj24tt5qq