relation: https://khub.utp.edu.my/scholars/6296/ title: Application of four-point MEGMSOR method for the solution of 2D helmholtz equations creator: Akhir, M.K.M. creator: Sulaiman, J. creator: Othman, M. creator: Majid, Z.A. creator: Muthuvalu, M.S. creator: Aruchunan, E. description: The recent convergence outcomes of faster group iterative schemes from the Modified Successive Over-Relaxation (MSOR) family have initiated considerable attention in reconnoitering the comportment of these methods in the solution of partial differential equations (PDEs). In 2011, Akhir et al., 12 formulated a new four Point-Explicit Group MSOR (EGMSOR) which was shown to have greater rate of convergence than the other two four-Point block methods (EGSOR and EGGS) in solving the Helmholtz equation. Akhir et al., 14 formulated the four-Point Explicit Decoupled Group Modified Successive Over-Relaxation (EDGMSOR) method in solving the same problem, where fewer iteration counts were required when compared with the original four-Point EGMSOR method. The aim of this paper is to present four-point Modified Explicit group MSOR (MEGMSOR) method and to show that it is faster than the four-Point EDGMSOR and four-Point EGMSOR methods. © 2015 Mohd Kamalrulzaman Md Akhir et al. publisher: Hikari Ltd. date: 2015 type: Article type: PeerReviewed identifier: Akhir, M.K.M. and Sulaiman, J. and Othman, M. and Majid, Z.A. and Muthuvalu, M.S. and Aruchunan, E. (2015) Application of four-point MEGMSOR method for the solution of 2D helmholtz equations. International Journal of Mathematical Analysis, 9 (37-40). pp. 1847-1862. ISSN 13128876 relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84938940644&doi=10.12988%2fijma.2015.56170&partnerID=40&md5=16986e1e7f7fc8490f4184e2aa91a2e7 relation: 10.12988/ijma.2015.56170 identifier: 10.12988/ijma.2015.56170