Alternating block explicit-implicit method for the two-dimensional diffusion equation

Abstract

We have developed the Alternating Segment Explicit-Implicit (ASE-I) method for the one-space dimensional diffusion equation in Zhang Bao-lin [1]. Mathematically, the ASE-I method is unconditionally stable and is good from the view point of parallel computing. In this paper the method is extended to the case of the two-space dimensional problem, and in this case the method is called the Alternating Block Explicit-Implicit (ABE-I) method.

Keywords:

• Two-dimensional diffusion equation
• finite difference equations
• alternating block Explicit-Implicit method