Alternating block Crank-Nicolson method for the 3-D heat equation

摘要

The alternating segment Crank-Nicolson method has been developed for a 1-dimensional diffusion equation, as well as the alternating band and block Crank-Nicolson methods for 2-dimensional problems. Here the alternating block technique is further extended to a 3-space dimension diffusion equation, and the new method called alternating block Crank-Nicolson ABkC-N method, which is suitable to MIMD computers, is set up.