  In this paper, we analyze a substructuring type algorithm for the
Cahn-Hilliard (CH) equation. Being a nonlinear equation, it is of great
importance to develop efficient numerical schemes for investigating the
solution behaviour of the CH equation. We present the formulation of
Neumann-Neumann (NN) method applied to the CH equation and investigate the
convergence behaviour of the same in one and two spatial dimension for two
subdomains. We illustrate the theoretical results by providing numerical
example.
