ALTERNATING BLOCK CRANK-NICOLSON METHOD FOR THE 3-D HEAT-EQUATION

Authors
JING C
Citation
C. Jing, ALTERNATING BLOCK CRANK-NICOLSON METHOD FOR THE 3-D HEAT-EQUATION, Applied mathematics and computation, 66(1), 1994, pp. 41-61
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
66
Issue
1
Year of publication
1994
Pages
41 - 61
Database
ISI
SICI code
0096-3003(1994)66:1<41:ABCMFT>2.0.ZU;2-8
Abstract
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 alt ernating block technique is further extended to a 3-space dimension di ffusion equation, and the new method called alternating block Crank-Ni colson ABkC-N method, which is suitable to MIMD computers, is set up.