FTCS scheme

"FTCS" redirects here. For the scientific conference, see International Conference on Dependable Systems and Networks.

In numerical analysis, the FTCS (forward time-centered space) method is a finite difference method used for numerically solving the heat equation and similar parabolic partial differential equations.[1] It is a first-order method in time, explicit in time, and is conditionally stable when applied to the heat equation. When used as a method for advection equations, or more generally hyperbolic partial differential equations, it is unstable unless artificial viscosity is included. The abbreviation FTCS was first used by Patrick Roache.[2][3]

  1. ^ John C. Tannehill; Dale A. Anderson; Richard H. Pletcher (1997). Computational Fluid Mechanics and Heat Transfer (2nd ed.). Taylor & Francis. ISBN 1-56032-046-X.
  2. ^ Patrick J. Roache (1972). Computational Fluid Dynamics (1st ed.). Hermosa. ISBN 0-913478-05-9.
  3. ^ Patrick J. Roache (1998). Computational Fluid Dynamics (2nd ed.). Hermosa. ISBN 0-913478-09-1.