The application of sixth order accurate parallel quarter sweep alternating group explicit algorithm for nonlinear boundary value problems with singularity

The aim of this paper is to describe the formulation of quarter sweep alternating group explicit (QSAGE) iterative method using six order accurate finite difference approaches for solving nonlinear singular two point boundary value problems. The proposed QSAGE method shows the superiority over corresponding full sweep AGE and SOR method. The proposed method is applicable to problems both in Cartesian and polar coordinate and suitable for use on parallel computers. Computational results are provided to illustrate the proposed method.