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

Author

Jha, Navnit

Author_Institution

Dept. of Math., Rajiv Gandhi Inst. of Pet. Technol., Rae Bareli, India

fYear

2010

fDate

13-14 Dec. 2010

Firstpage

76

Lastpage

80

Abstract

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.

Keywords

boundary-value problems; iterative methods; Cartesian coordinate; SOR method; full sweep AGE; iterative method; nonlinear singular two point boundary value problems; parallel computers; polar coordinate; six order accurate finite difference approaches; sixth order accurate parallel quarter sweep alternating group explicit algorithm; Approximation methods; Burger´s equations; RMS errors; Sixth order method; alternating group explicit method; full-, half-, and quarter-sweep methods; singular equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Methods and Models in Computer Science (ICM2CS), 2010 International Conference on

Conference_Location

New Delhi

Print_ISBN

978-1-4244-9701-0

Type

conf

DOI

10.1109/ICM2CS.2010.5706722

Filename

5706722