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

• Main Authors: Mohd Kamalrulzaman Md Akhir, Jumat Sulaiman, Mohamed Othman, Mohana Sundaram Muthuvalu
• Format: Article
• Language: English; English
• Published: Hikari Ltd 2016
• Subjects: QA Mathematics
• Online Access: 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; https://eprints.ums.edu.my/id/eprint/18867/; http://dx.doi.org/10.12988/ijcms.2016.51047

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.