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The solution of 2D elliptic equation using modified geometric mean method on skewed grid with red-black ordering

This paper presents the development of a new variant of two-stage Geometric Mean (GM) method for solving 2D elliptic equation. The proposed iterative scheme, called the Skewed Modified Geometric Mean (SkMGM), is derived from finite difference approximation discretized on a skewed grid with red-black...

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Main Authors: Shaliza Hayati A. Wahab, A'Qilah Ahmad Dahalan, Azali Saudi
Format: Article
Language:English
English
Published: Centre for Environment Social and Economic Research 2020
Online Access:https://eprints.ums.edu.my/id/eprint/28918/1/The%20solution%20of%202D%20elliptic%20equation%20using%20modified%20geometric%20mean%20method%20on%20skewed%20grid%20with%20red-black%20ordering%20abstract.pdf
https://eprints.ums.edu.my/id/eprint/28918/2/The%20solution%20of%202D%20elliptic%20equation%20using%20modified%20geometric%20mean%20method%20on%20skewed%20grid%20with%20red-black%20ordering%20fulltext.pdf
https://eprints.ums.edu.my/id/eprint/28918/
http://diogenes.bg/ijam/contents/2020-33-6/6/
http://dx.doi.org/10.12732/ijam.v33i6.6
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spelling my.ums.eprints.289182021-07-11T14:02:09Z https://eprints.ums.edu.my/id/eprint/28918/ The solution of 2D elliptic equation using modified geometric mean method on skewed grid with red-black ordering Shaliza Hayati A. Wahab A'Qilah Ahmad Dahalan Azali Saudi This paper presents the development of a new variant of two-stage Geometric Mean (GM) method for solving 2D elliptic equation. The proposed iterative scheme, called the Skewed Modified Geometric Mean (SkMGM), is derived from finite difference approximation discretized on a skewed grid with red-black ordering. The skewed finite difference scheme combined with redblack ordering is shown to be suitable for parallel implementation. The developed SkMGM scheme is compared with the other methods on the standard grid to confirm the effectiveness of the proposed method in terms of computational complexity and execution time. It is shown that the new proposed method gives the least number of iterations and fastest execution time compared to the other tested methods. Centre for Environment Social and Economic Research 2020 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/28918/1/The%20solution%20of%202D%20elliptic%20equation%20using%20modified%20geometric%20mean%20method%20on%20skewed%20grid%20with%20red-black%20ordering%20abstract.pdf text en https://eprints.ums.edu.my/id/eprint/28918/2/The%20solution%20of%202D%20elliptic%20equation%20using%20modified%20geometric%20mean%20method%20on%20skewed%20grid%20with%20red-black%20ordering%20fulltext.pdf Shaliza Hayati A. Wahab and A'Qilah Ahmad Dahalan and Azali Saudi (2020) The solution of 2D elliptic equation using modified geometric mean method on skewed grid with red-black ordering. International Journal of Applied Mathematics and Statistics, 33. pp. 1027-1047. ISSN 0973-1377 http://diogenes.bg/ijam/contents/2020-33-6/6/ http://dx.doi.org/10.12732/ijam.v33i6.6
institution Universiti Malaysia Sabah
building UMS Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sabah
content_source UMS Institutional Repository
url_provider http://eprints.ums.edu.my/
language English
English
description This paper presents the development of a new variant of two-stage Geometric Mean (GM) method for solving 2D elliptic equation. The proposed iterative scheme, called the Skewed Modified Geometric Mean (SkMGM), is derived from finite difference approximation discretized on a skewed grid with red-black ordering. The skewed finite difference scheme combined with redblack ordering is shown to be suitable for parallel implementation. The developed SkMGM scheme is compared with the other methods on the standard grid to confirm the effectiveness of the proposed method in terms of computational complexity and execution time. It is shown that the new proposed method gives the least number of iterations and fastest execution time compared to the other tested methods.
format Article
author Shaliza Hayati A. Wahab
A'Qilah Ahmad Dahalan
Azali Saudi
spellingShingle Shaliza Hayati A. Wahab
A'Qilah Ahmad Dahalan
Azali Saudi
The solution of 2D elliptic equation using modified geometric mean method on skewed grid with red-black ordering
author_facet Shaliza Hayati A. Wahab
A'Qilah Ahmad Dahalan
Azali Saudi
author_sort Shaliza Hayati A. Wahab
title The solution of 2D elliptic equation using modified geometric mean method on skewed grid with red-black ordering
title_short The solution of 2D elliptic equation using modified geometric mean method on skewed grid with red-black ordering
title_full The solution of 2D elliptic equation using modified geometric mean method on skewed grid with red-black ordering
title_fullStr The solution of 2D elliptic equation using modified geometric mean method on skewed grid with red-black ordering
title_full_unstemmed The solution of 2D elliptic equation using modified geometric mean method on skewed grid with red-black ordering
title_sort solution of 2d elliptic equation using modified geometric mean method on skewed grid with red-black ordering
publisher Centre for Environment Social and Economic Research
publishDate 2020
url https://eprints.ums.edu.my/id/eprint/28918/1/The%20solution%20of%202D%20elliptic%20equation%20using%20modified%20geometric%20mean%20method%20on%20skewed%20grid%20with%20red-black%20ordering%20abstract.pdf
https://eprints.ums.edu.my/id/eprint/28918/2/The%20solution%20of%202D%20elliptic%20equation%20using%20modified%20geometric%20mean%20method%20on%20skewed%20grid%20with%20red-black%20ordering%20fulltext.pdf
https://eprints.ums.edu.my/id/eprint/28918/
http://diogenes.bg/ijam/contents/2020-33-6/6/
http://dx.doi.org/10.12732/ijam.v33i6.6
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score 13.211869

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