An implementation of QSAOR iterative method for non-homogeneous helmholtz equations

This paper aims to show the usefulness of the quarter-sweep acceler-ated over relaxation (QSAOR) method by implementing the quarter-sweep approximation equation based on finite difference (FD) to solvetwo-dimensional (2D) Helmholtz equations compared to full-sweep ac-celerated over relaxation (FSAOR)...

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Huvudupphovsmän: Mohd Kamalrulzaman Md Akhir, Jumat Sulaiman, Mohamed Othman, Mohana Sundaram Muthuvalu
Materialtyp: Artikel
Språk:English
English
Publicerad: Hikari Ltd 2016
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Länkar:https://eprints.ums.edu.my/id/eprint/18867/1/An%20implementation%20of%20QSAOR%20iterative%20method%20for%20non.pdf
https://eprints.ums.edu.my/id/eprint/18867/7/An%20Implementation%20of%20QSAOR%20Iterative%20Method.pdf
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author Mohd Kamalrulzaman Md Akhir
Jumat Sulaiman
Mohamed Othman
Mohana Sundaram Muthuvalu
author_facet Mohd Kamalrulzaman Md Akhir
Jumat Sulaiman
Mohamed Othman
Mohana Sundaram Muthuvalu
author_sort Mohd Kamalrulzaman Md Akhir
collection UMS
description This paper aims to show the usefulness of the quarter-sweep acceler-ated over relaxation (QSAOR) method by implementing the quarter-sweep approximation equation based on finite difference (FD) to solvetwo-dimensional (2D) Helmholtz equations compared to full-sweep ac-celerated over relaxation (FSAOR) and half sweep accelerated over re-laxation (HSAOR) methods. The formulation and implementation ofthe QSAOR, HSAOR and FSAOR methods are also presented. Somenumerical tests were carried out to illustrate that the QSAOR methodis superior to HSAOR and FSAOR methods.
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spelling ums.eprints-188672020-12-28T04:34:07Z https://eprints.ums.edu.my/id/eprint/18867/ An implementation of QSAOR iterative method for non-homogeneous helmholtz equations Mohd Kamalrulzaman Md Akhir Jumat Sulaiman Mohamed Othman Mohana Sundaram Muthuvalu QA Mathematics This paper aims to show the usefulness of the quarter-sweep acceler-ated over relaxation (QSAOR) method by implementing the quarter-sweep approximation equation based on finite difference (FD) to solvetwo-dimensional (2D) Helmholtz equations compared to full-sweep ac-celerated over relaxation (FSAOR) and half sweep accelerated over re-laxation (HSAOR) methods. The formulation and implementation ofthe QSAOR, HSAOR and FSAOR methods are also presented. Somenumerical tests were carried out to illustrate that the QSAOR methodis superior to HSAOR and FSAOR methods. Hikari Ltd 2016 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/18867/1/An%20implementation%20of%20QSAOR%20iterative%20method%20for%20non.pdf text en https://eprints.ums.edu.my/id/eprint/18867/7/An%20Implementation%20of%20QSAOR%20Iterative%20Method.pdf Mohd Kamalrulzaman Md Akhir and Jumat Sulaiman and Mohamed Othman and Mohana Sundaram Muthuvalu (2016) An implementation of QSAOR iterative method for non-homogeneous helmholtz equations. International Journal of Contemporary Mathematical Sciences, 11 (2). pp. 85-96. ISSN 1312-7586 http://dx.doi.org/10.12988/ijcms.2016.51047
spellingShingle QA Mathematics
Mohd Kamalrulzaman Md Akhir
Jumat Sulaiman
Mohamed Othman
Mohana Sundaram Muthuvalu
An implementation of QSAOR iterative method for non-homogeneous helmholtz equations
title An implementation of QSAOR iterative method for non-homogeneous helmholtz equations
title_full An implementation of QSAOR iterative method for non-homogeneous helmholtz equations
title_fullStr An implementation of QSAOR iterative method for non-homogeneous helmholtz equations
title_full_unstemmed An implementation of QSAOR iterative method for non-homogeneous helmholtz equations
title_short An implementation of QSAOR iterative method for non-homogeneous helmholtz equations
title_sort implementation of qsaor iterative method for non homogeneous helmholtz equations
topic QA Mathematics
url https://eprints.ums.edu.my/id/eprint/18867/1/An%20implementation%20of%20QSAOR%20iterative%20method%20for%20non.pdf
https://eprints.ums.edu.my/id/eprint/18867/7/An%20Implementation%20of%20QSAOR%20Iterative%20Method.pdf
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