A conservative difference scheme for the viscous Cahn–Hilliard equation with a nonconstant gradient energy coefficient Original Research Article

A finite difference scheme is considered for the viscous Cahn–Hilliard equation with the nonconstant gradient energy coefficient. The scheme inherits energy dissipation property and mass conservation as for the classical solution. We obtain the corresponding error estimate using the extended Lax–Richtmyer equivalence theorem.