Convergence of a semidiscrete scheme for a forward-backward parabolic equation
We study the convergence of a semidiscrete scheme for the forward-backward parabolic equation ut = (W?(ux))x with periodic boundary conditions in one space dimension, where W is a standard double-well potential. We characterize the equation satised by the limit of the discretized solutions as the grid size goes to zero. Using an approximation argument, we show that it is possible to flow initial d