Three-step BLAGE iterative method for two-dimensional elliptic boundary value problems with singularity

Authors:
R. K. Mohanty
Affiliations:
Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, India
Venue:
International Journal of Computer Mathematics - Celebrating the Life of David J. Evans
Year:
2007

Citing 2
Cited 0

Order h4 difference methods for a class of singular two space elliptic boundary value problems

Journal of Computational and Applied Mathematics
Iterative Methods for Sparse Linear Systems

Iterative Methods for Sparse Linear Systems

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Abstract

We present a new three-step block alternating group explicit (BLAGE) algorithm for solving block symmetric linear systems derived from both five-point second-order and nine-point fourth-order discretizations to solve the two-dimensional elliptic equation in both rectangular and cylindrical polar coordinates. The three-step BLAGE algorithm should save time compared with the two-step BLAGE algorithm as the aim of the procedure is to eliminate the evaluation of two similar terms which appear in the algorithm. The convergence theory of the algorithm is reported briefly. Numerical results obtained from three test problems are presented to demonstrate the utility of the proposed three-step BLAGE method compared with the corresponding two-step BLAGE iterative method and the block successive over-relaxation (BSOR) iterative method.