Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems

Abstract

The difference method with intrinsic parallelism for two dimensional parabolic system is studied. The general alternating difference schemes, in particular those with variable time steplengthes, are constructed and proved to be unconditionally stable. The two dimensional alternating group explicit scheme, alternating block explicit-implicit scheme, alternating block Crank-Nicolson scheme and block ADI scheme are the special cases of the general schemes constructed here. © 1999 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 15: 625–636, 1999