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High Quality Content by WIKIPEDIA articles! In numerical analysis, the FTCS (Forward-Time Central-Space) method is a finite difference method used for numerically solving the heat equation and similar parabolic partial differential equations. It is a first-order method in time, explicit in time, and is conditionally stable. The abbreviation FTCS was first used by Patrick Roache.The FTCS method is based on central difference in space and the forward Euler method in time, giving first-order convergence in time.