W. Dai et R. Nassar, A 2ND-ORDER ADI SCHEME FOR 3-DIMENSIONAL PARABOLIC DIFFERENTIAL-EQUATIONS, Numerical methods for partial differential equations, 14(2), 1998, pp. 159-168
A second-order unconditionally stable ADI scheme has been developed fo
r solving three-dimensional parabolic equations. This scheme reduces t
hree-dimensional problems to a succession of one-dimensional problems.
Further, the scheme is suitable for simulating fast transient phenome
na. Numerical examples show that the scheme gives an accurate solution
for the parabolic equation and converges rapidly to the steady state
solution. (C) 1998 John Wiley & Sons, Inc.