The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method

The main aim of this paper is to examine a block iterative method known as the four point-Modified Explicit Group Modified Gauss Seidel (MEGGS) iterative method in solving 2D Helmholtz equations. The method is shown to be very much faster as compared to existing four-point block iterative method. In...

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Main Authors: Mohd Kamalrulzaman Md Akhir, Mohamed Othman, Jumat Sulaiman, Zanariah Abdul Majid
Format: Conference or Workshop Item
Language:English
Published: Elsevier 2012
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Online Access:https://eprints.ums.edu.my/id/eprint/21398/1/The%20solution%20of%202D%20Helmholtz%20Equations%20by%20Modified%20Explicit%20Group%20Iterative%20Method.pdf
https://eprints.ums.edu.my/id/eprint/21398/
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Institution: Universiti Malaysia Sabah
Language: English
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spelling my.ums.eprints.213982019-05-09T06:15:41Z https://eprints.ums.edu.my/id/eprint/21398/ The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method Mohd Kamalrulzaman Md Akhir Mohamed Othman Jumat Sulaiman Zanariah Abdul Majid QA Mathematics The main aim of this paper is to examine a block iterative method known as the four point-Modified Explicit Group Modified Gauss Seidel (MEGGS) iterative method in solving 2D Helmholtz equations. The method is shown to be very much faster as compared to existing four-point block iterative method. In addition, by using an approximate equation based on the finite difference scheme, 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. Elsevier 2012 Conference or Workshop Item PeerReviewed text en https://eprints.ums.edu.my/id/eprint/21398/1/The%20solution%20of%202D%20Helmholtz%20Equations%20by%20Modified%20Explicit%20Group%20Iterative%20Method.pdf Mohd Kamalrulzaman Md Akhir and Mohamed Othman and Jumat Sulaiman and Zanariah Abdul Majid (2012) The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method. In: Proc. Int. Conf. on Advances in Computing, Control, and Telecommunication Technologies, ACT.
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
topic QA Mathematics
spellingShingle QA Mathematics
Mohd Kamalrulzaman Md Akhir
Mohamed Othman
Jumat Sulaiman
Zanariah Abdul Majid
The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method
description The main aim of this paper is to examine a block iterative method known as the four point-Modified Explicit Group Modified Gauss Seidel (MEGGS) iterative method in solving 2D Helmholtz equations. The method is shown to be very much faster as compared to existing four-point block iterative method. In addition, by using an approximate equation based on the finite difference scheme, 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 Conference or Workshop Item
author Mohd Kamalrulzaman Md Akhir
Mohamed Othman
Jumat Sulaiman
Zanariah Abdul Majid
author_facet Mohd Kamalrulzaman Md Akhir
Mohamed Othman
Jumat Sulaiman
Zanariah Abdul Majid
author_sort Mohd Kamalrulzaman Md Akhir
title The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method
title_short The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method
title_full The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method
title_fullStr The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method
title_full_unstemmed The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method
title_sort solution of 2d helmholtz equations by modified explicit group iterative method
publisher Elsevier
publishDate 2012
url https://eprints.ums.edu.my/id/eprint/21398/1/The%20solution%20of%202D%20Helmholtz%20Equations%20by%20Modified%20Explicit%20Group%20Iterative%20Method.pdf
https://eprints.ums.edu.my/id/eprint/21398/
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