A new octo-sweep iterative method for solving two-dimensional elliptic equations.

The main aim of this paper is to examine a new point iterative method known as octo-sweep iterative method in solving two-dimensional elliptic partial differential equations. The method is shown to be very much faster as compared to the quarter-, half- and full-sweep iterative methods. In addition,...

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Main Authors: Akhir, M.K.M, Othman , Mohamed, Suleiman, Mohamed, Sulaiman, Jumat
Format: Article
Language:English
English
Published: Ijamas Ceser Publication 2012
Online Access:http://psasir.upm.edu.my/id/eprint/25201/1/A%20new%20octo.pdf
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author Akhir, M.K.M
Othman , Mohamed
Suleiman, Mohamed
Sulaiman, Jumat
author_facet Akhir, M.K.M
Othman , Mohamed
Suleiman, Mohamed
Sulaiman, Jumat
author_sort Akhir, M.K.M
collection UPM
description The main aim of this paper is to examine a new point iterative method known as octo-sweep iterative method in solving two-dimensional elliptic partial differential equations. The method is shown to be very much faster as compared to the quarter-, half- and full-sweep iterative methods. In addition, formulation and implementation of the proposed method to solve the problems are also presented. Numerical test and comparison with other existing methods are given to illustrate the effectiveness of the proposed method.
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spelling upm.eprints-252012015-09-29T02:05:33Z http://psasir.upm.edu.my/id/eprint/25201/ A new octo-sweep iterative method for solving two-dimensional elliptic equations. Akhir, M.K.M Othman , Mohamed Suleiman, Mohamed Sulaiman, Jumat The main aim of this paper is to examine a new point iterative method known as octo-sweep iterative method in solving two-dimensional elliptic partial differential equations. The method is shown to be very much faster as compared to the quarter-, half- and full-sweep iterative methods. In addition, formulation and implementation of the proposed method to solve the problems are also presented. Numerical test and comparison with other existing methods are given to illustrate the effectiveness of the proposed method. Ijamas Ceser Publication 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25201/1/A%20new%20octo.pdf Akhir, M.K.M and Othman , Mohamed and Suleiman, Mohamed and Sulaiman, Jumat (2012) A new octo-sweep iterative method for solving two-dimensional elliptic equations. International Journal of Applied Mathematics and Statistics, 30 (6). pp. 60-71. ISSN 0973-1377 http://www.ceser.in/ijamas.html English
spellingShingle Akhir, M.K.M
Othman , Mohamed
Suleiman, Mohamed
Sulaiman, Jumat
A new octo-sweep iterative method for solving two-dimensional elliptic equations.
title A new octo-sweep iterative method for solving two-dimensional elliptic equations.
title_full A new octo-sweep iterative method for solving two-dimensional elliptic equations.
title_fullStr A new octo-sweep iterative method for solving two-dimensional elliptic equations.
title_full_unstemmed A new octo-sweep iterative method for solving two-dimensional elliptic equations.
title_short A new octo-sweep iterative method for solving two-dimensional elliptic equations.
title_sort new octo sweep iterative method for solving two dimensional elliptic equations
url http://psasir.upm.edu.my/id/eprint/25201/1/A%20new%20octo.pdf
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