TY - JOUR
T1 - Conservative domain decomposition procedure for the variable coefficient diffusion equation
AU - RuiyiWang and Yang Zhang
JO - Journal of Information and Computing Science
VL - 1
SP - 022
EP - 030
PY - 2024
DA - 2024/01
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22593.html
KW - Diffusion equation
KW -  finite difference
KW -  domain decomposition
KW -  unconditional stability
KW -  variable 
coefficient. 

AB - The conservative domain decomposition procedure for solving the variable coefficient diffusion 
equation is presented. In this procedure, the fluxes at the interface of subdomains are properly defined, which 
results in the unconditional stability of the procedure. Numerical results examining the stability, the second-
order accuracy of solution values as well as fluxes, and parallelism of the procedure are also presented.