A class of alternating block crank-nicolson method

Abstract

The Alternating Segement Crank-Nicolson scheme for one-dimensional diffusion equation has been developed in [1], and the Alternating Block Explicit-Implicit method for two-dimensional problem in [2]. Mathematically, the methods are unconditionally stable and are good from the view point of parallel computing. In this paper, for the two-space dimensional diffusion equation, the Alternating Block Crank-Nicolson scheme is constructed by Saul'yev asymmetric schemes. The method also has the advantages of parallel computing, stability and accuracy.

Keywords:

• Two-dimensional diffusion equation
• finite difference equation
• Alternating Block Crank-Nicolson method

C.R.Categories:

• G.1.8