Modified explicit decoupled group method in the solution of 2-D elliptic PDES

Authors:
Norhashidah Hj. M. Ali;Ng Kok Fu
Affiliations:
School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia;School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia
Venue:
MATH'07 Proceedings of the 12th WSEAS International Conference on Applied Mathematics
Year:
2007

Citing 4
Cited 1

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Accelerated group Krylov algorithms In 2D elliptic partial differential equation

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Abstract

In this paper, the formulation of a new explicit group method in solving the two-dimensional Poisson equation is presented. The method is derived from a skewed (rotated) five-point finite difference discretisation which results in a reduced system with lower computational complexity compared to schemes derived from the standard five-point difference approximation. The details of the algorithm will be discussed. Numerical experimentations will be conducted and comparison with the common existing schemes is reported.