Abstract:

Considering algorithms of finite difference domain decomposition for twodimensional heat equation, a new kind of explicitimplicit difference schemes which is of unconditional stability is developed. The corresponding schemes consist of one explicit difference schemes at the interface point and fully implicit schemes in the subdomains. The stability and error estimates of the schemes are derived. Finally, the numerical experiment is presented which confirm the results and conclusions.

Key words:  two-dimensional heat equation; domain decomposition algorithm; finite difference; parallel computation