Show that in the limit ??x ?? 0, ??y ?? 0, ??t ??0, the difference Eq. (3.22) is equivalent to the two-dimensional version of the differential Eq. (2.6).

GIVENDifference equation, Equation (3.22)SHOW(a) In the limit ??x, ??y, and ??t??0, the difference equation is equivalent to the two-dimensional version of the differential equation, Equation(2.6).

Tijm - T-1.j.m Tijm - Tij-1.m + ) + qjm Ax TH1.Jm -k T1 jm TiJ+1.m - T1jm (3.22) Ax + Ax Tij.m+1 - Tijm + p At ? ? ? ax ' ay 1 (2.6) k a dt