Citation
Ws. Yousif et Dj. Evans, NEW POINT AND GROUP ITERATIVE METHODS FOR SOLVING 3-DIMENSIONAL ELLIPTIC-EQUATIONS, International journal of computer mathematics, 66(3-4), 1998, pp. 353-362
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
International journal of computer mathematics
ISSN journal
00207160
→ ACNP
Volume
66
Issue
3-4
Year of publication
1998
Pages
353 - 362
Database
ISI
SICI code
Abstract
In this paper we construct a rotated finite difference formula in 3-di
mensions analogous to the rotated finite difference formula in 2-dimen
sions (Dahlquist and Bjorck, 1974; Vichnevetsky, 1981). Further, an ex
plicit 2x2x2 de-coupled group (EDG) iterative method for the solution
of problems arising in 3-dimensional elliptic partial differential equ
ations is developed. Performance results for the two algorithms are pr
esented and a comparison with the 7 point S.O.R. scheme in 3-dimension
s confirm the new methods to be computationally superior.