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...
Saved in:
Main Authors: | , , , , |
---|---|
Format: | Article |
Language: | English English |
Published: |
2012
|
Subjects: | |
Online Access: | https://eprints.ums.edu.my/id/eprint/21520/1/Four%20Point%20Explicit%20Decoupled%20Group%20Iterative%20Method%20Applied%20to%20Two.pdf https://eprints.ums.edu.my/id/eprint/21520/7/Four%20Point%20Explicit%20Decoupled%20Group.pdf https://eprints.ums.edu.my/id/eprint/21520/ |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Universiti Malaysia Sabah |
Language: | English English |
id |
my.ums.eprints.21520 |
---|---|
record_format |
eprints |
spelling |
my.ums.eprints.215202021-01-21T05:20:03Z https://eprints.ums.edu.my/id/eprint/21520/ Four Point Explicit Decoupled Group Iterative Method Applied to Two-Dimensional Helmholtz Equation Mohd Kamalrulzaman Md Akhir Mohamed Othman Zanariah Abdul Majid Mohamed Suleiman Jumat Sulaiman QA Mathematics 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. 2012 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/21520/1/Four%20Point%20Explicit%20Decoupled%20Group%20Iterative%20Method%20Applied%20to%20Two.pdf text en https://eprints.ums.edu.my/id/eprint/21520/7/Four%20Point%20Explicit%20Decoupled%20Group.pdf Mohd Kamalrulzaman Md Akhir and Mohamed Othman and Zanariah Abdul Majid and Mohamed Suleiman and Jumat Sulaiman (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 |
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 |
topic |
QA Mathematics |
spellingShingle |
QA Mathematics Mohd Kamalrulzaman Md Akhir Mohamed Othman Zanariah Abdul Majid Mohamed Suleiman Jumat Sulaiman Four Point Explicit Decoupled Group Iterative Method Applied to Two-Dimensional Helmholtz Equation |
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 |
Mohd Kamalrulzaman Md Akhir Mohamed Othman Zanariah Abdul Majid Mohamed Suleiman Jumat Sulaiman |
author_facet |
Mohd Kamalrulzaman Md Akhir Mohamed Othman Zanariah Abdul Majid Mohamed Suleiman Jumat Sulaiman |
author_sort |
Mohd Kamalrulzaman Md Akhir |
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 |
publishDate |
2012 |
url |
https://eprints.ums.edu.my/id/eprint/21520/1/Four%20Point%20Explicit%20Decoupled%20Group%20Iterative%20Method%20Applied%20to%20Two.pdf https://eprints.ums.edu.my/id/eprint/21520/7/Four%20Point%20Explicit%20Decoupled%20Group.pdf https://eprints.ums.edu.my/id/eprint/21520/ |
_version_ |
1760229853173383168 |