relation: https://khub.utp.edu.my/scholars/4628/ title: QSMSOR iterative method for the solution of 2D homogeneous Helmholtz equations creator: Md Akhir, M.K. creator: Othman, M. creator: Suleiman, M. creator: Majid, Z.A. creator: Sulaiman, J. creator: Muthuvalu, M.S. creator: Aruchuan, E. description: In this paper, we consider the numerical solutions of homogeneous Helmholtz equations of the second order. The Quarter-Sweep Modified Successive Over-Relaxation (QSMSOR) iterative method is applied to solve linear systems generated form discretization of the second order homogeneous Helmholtz equations using quarter sweep finite difference (FD) scheme. The formulation and implementation of the method are also discussed. In addition, numerical results by solving several test problems are included and compared with the conventional iterative methods. © 2014 Mohd Kamalrulzaman Md Akhir et al. publisher: Hikari Ltd. date: 2014 type: Article type: PeerReviewed identifier: Md Akhir, M.K. and Othman, M. and Suleiman, M. and Majid, Z.A. and Sulaiman, J. and Muthuvalu, M.S. and Aruchuan, E. (2014) QSMSOR iterative method for the solution of 2D homogeneous Helmholtz equations. International Journal of Mathematical Analysis, 8 (49-52). pp. 2493-2505. ISSN 13128876 relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84921761048&doi=10.12988%2fijma.2014.48237&partnerID=40&md5=03ee3f480df5bfaeebb14761c68d41d5 relation: 10.12988/ijma.2014.48237 identifier: 10.12988/ijma.2014.48237