Abstract
In this article, we report on the block alternating group explicit (BLAGE) iterative method for solving the block symmetric linear system derived from the fourth-order accurate nine-point discretisation of a two-dimensional elliptic equation in cylindrical polar co-ordinates. The error analysis of the BLAGE method is discussed briefly. The performance of this more accurate BLAGE method is compared with the corresponding block successive over relaxation (BSOR) method by considering two test problems, wherein the significance of the role played by two parameters ω1 and ω2 of the BLAGE method becomes evident in providing both convergence and accuracy of the computed solution.
Acknowledgement
This research was supported by ‘The Royal Society’ of London, UK under INSA Bilateral Indo-UK Joint Exchange Programme.