Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation.

In this article, we consider the numerical solution of two-dimensional Helmholtz equation. The four point Explicit Decoupled Group (EDG) iterative method together with Gauss-Seidel (GS) is applied to solve a linear system generated from discretization of the finite difference scheme using the seco...

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Main Authors:	Md Akhir, Mohd Kamalrulzaman, Othman, Mohamed, Abdul Majid, Zanariah, Suleiman, Mohamed, Sulaiman, Jumat
Format:	Article
Language:	English English
Published:	Hikari Ltd 2012
Online Access:	http://psasir.upm.edu.my/id/eprint/25208/ http://psasir.upm.edu.my/id/eprint/25208/ http://psasir.upm.edu.my/id/eprint/25208/1/Four%20point%20explicit%20decoupled%20group%20iterative%20method%20applied%20to%20two.pdf

id	upm-25208
recordtype	eprints
spelling	upm-252082015-10-09T08:01:16Z http://psasir.upm.edu.my/id/eprint/25208/ Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation. Md Akhir, Mohd Kamalrulzaman Othman, Mohamed Abdul Majid, Zanariah Suleiman, Mohamed Sulaiman, Jumat In this article, we consider the numerical solution of two-dimensional Helmholtz equation. The four point Explicit Decoupled Group (EDG) iterative method together with Gauss-Seidel (GS) is applied to solve a linear system generated from discretization of the finite difference scheme using the second order central difference. In addition, the formulation and implementation of the proposed method to solve the problem also presented. Numerical result and comparisons with other existing method are given to illustrate the efficiency of the proposed method. Hikari Ltd 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25208/1/Four%20point%20explicit%20decoupled%20group%20iterative%20method%20applied%20to%20two.pdf Md Akhir, Mohd Kamalrulzaman and Othman, Mohamed and Abdul Majid, Zanariah and Suleiman, Mohamed and Sulaiman, Jumat (2012) Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation. International Journal of Mathematical Analysis, 6 (20). pp. 963-974. ISSN 1312-8876; ESSN:1314-7579 http://www.m-hikari.com/ijma/ijma-2012/ijma-17-20-2012/akhirIJMA17-20-2012.pdf English
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Putra Malaysia
building	UPM Institutional Repository
collection	Online Access
language	English English
description	In this article, we consider the numerical solution of two-dimensional Helmholtz equation. The four point Explicit Decoupled Group (EDG) iterative method together with Gauss-Seidel (GS) is applied to solve a linear system generated from discretization of the finite difference scheme using the second order central difference. In addition, the formulation and implementation of the proposed method to solve the problem also presented. Numerical result and comparisons with other existing method are given to illustrate the efficiency of the proposed method.
format	Article
author	Md Akhir, Mohd Kamalrulzaman Othman, Mohamed Abdul Majid, Zanariah Suleiman, Mohamed Sulaiman, Jumat
spellingShingle	Md Akhir, Mohd Kamalrulzaman Othman, Mohamed Abdul Majid, Zanariah Suleiman, Mohamed Sulaiman, Jumat Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation.
author_facet	Md Akhir, Mohd Kamalrulzaman Othman, Mohamed Abdul Majid, Zanariah Suleiman, Mohamed Sulaiman, Jumat
author_sort	Md Akhir, Mohd Kamalrulzaman
title	Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation.
title_short	Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation.
title_full	Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation.
title_fullStr	Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation.
title_full_unstemmed	Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation.
title_sort	four point explicit decoupled group iterative method applied to two-dimensional helmholtz equation.
publisher	Hikari Ltd
publishDate	2012
url	http://psasir.upm.edu.my/id/eprint/25208/ http://psasir.upm.edu.my/id/eprint/25208/ http://psasir.upm.edu.my/id/eprint/25208/1/Four%20point%20explicit%20decoupled%20group%20iterative%20method%20applied%20to%20two.pdf
first_indexed	2018-09-07T14:55:31Z
last_indexed	2018-09-07T14:55:31Z
_version_	1610961000934146048

Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation.

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