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A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs.

The main aim of this paper is to examine a new block iterative method known as the four Point-Octo Modified Explicit Group (OMEG) iterative method in solving two-dimensional elliptic partial differential equations. The method is shown to be very much faster as compared to the full-, half- and quarte...

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Main Authors: Md Akhir, Mohd Kamalrulzaman, Othman, Mohamed, Suleiman, Mohamed, Sulaiman, Jumat
Format: Article
Language:English
English
Published: Hikari Ltd 2012
Online Access:http://psasir.upm.edu.my/id/eprint/25166/1/A%20new%20octo%20modified%20explicit%20group%20iterative%20method%20for%20the%20solution%20of%202D%20Elliptic%20PDEs.pdf
http://psasir.upm.edu.my/id/eprint/25166/
http://www.m-hikari.com/
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spelling my.upm.eprints.251662015-10-09T08:56:35Z http://psasir.upm.edu.my/id/eprint/25166/ A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs. Md Akhir, Mohd Kamalrulzaman Othman, Mohamed Suleiman, Mohamed Sulaiman, Jumat The main aim of this paper is to examine a new block iterative method known as the four Point-Octo Modified Explicit Group (OMEG) iterative method in solving two-dimensional elliptic partial differential equations. The method is shown to be very much faster as compared to the full-, half- and quarter-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 four point block iterative methods are given to illustrate the effectiveness of the proposed method. Hikari Ltd 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25166/1/A%20new%20octo%20modified%20explicit%20group%20iterative%20method%20for%20the%20solution%20of%202D%20Elliptic%20PDEs.pdf Md Akhir, Mohd Kamalrulzaman and Othman, Mohamed and Suleiman, Mohamed and Sulaiman, Jumat (2012) A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs. Applied Mathematical Sciences, 6 (31). pp. 1505-1524. ISSN 1312-885X http://www.m-hikari.com/ English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description The main aim of this paper is to examine a new block iterative method known as the four Point-Octo Modified Explicit Group (OMEG) iterative method in solving two-dimensional elliptic partial differential equations. The method is shown to be very much faster as compared to the full-, half- and quarter-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 four point block iterative methods are given to illustrate the effectiveness of the proposed method.
format Article
author Md Akhir, Mohd Kamalrulzaman
Othman, Mohamed
Suleiman, Mohamed
Sulaiman, Jumat
spellingShingle Md Akhir, Mohd Kamalrulzaman
Othman, Mohamed
Suleiman, Mohamed
Sulaiman, Jumat
A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs.
author_facet Md Akhir, Mohd Kamalrulzaman
Othman, Mohamed
Suleiman, Mohamed
Sulaiman, Jumat
author_sort Md Akhir, Mohd Kamalrulzaman
title A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs.
title_short A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs.
title_full A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs.
title_fullStr A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs.
title_full_unstemmed A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs.
title_sort new octo modified explicit group iterative method for the solution of 2d elliptic pdes.
publisher Hikari Ltd
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/25166/1/A%20new%20octo%20modified%20explicit%20group%20iterative%20method%20for%20the%20solution%20of%202D%20Elliptic%20PDEs.pdf
http://psasir.upm.edu.my/id/eprint/25166/
http://www.m-hikari.com/
_version_ 1643828579445768192
score 13.211869

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