Order of FTCS scheme:

The FTCS scheme to one-dimensional heat equation is given by (6.4.3) as

                                                                                                                ................. (6.4.12)

 

Therefore the truncation error of FTCS scheme to one-dimensional heat equation is

                                                                                                               ................. (6.4.13)

and the order of the scheme is one in time direction and two in space(x) direction because the powers of and in truncation error is one and two respectively.