| Abstract: | In this paper we construct a rotated finite differnce formula in 3-dimensions analogous to the rotated finite difference formula in 2-dimensions (Dahlquist and Bjorck, 1974; Vichnevetsky, 1981). Further, an explicit 2×2×2 de-coupled group (EDG) iterative method for the solution of problems arising in 3-dimensional elliptic partial differential equations is developed.Performance results for the two algorithms are presented and a comparison with the 7 point S.O.R. scheme in 3-dimensions confirm the new methods to be computationally superior. |
