TY - JOUR EP - 1862 PB - Hikari Ltd. SN - 13128876 SP - 1847 TI - Application of four-point MEGMSOR method for the solution of 2D helmholtz equations N1 - cited By 2 AV - none VL - 9 A1 - Akhir, M.K.M. A1 - Sulaiman, J. A1 - Othman, M. A1 - Majid, Z.A. A1 - Muthuvalu, M.S. A1 - Aruchunan, E. JF - International Journal of Mathematical Analysis UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-84938940644&doi=10.12988%2fijma.2015.56170&partnerID=40&md5=16986e1e7f7fc8490f4184e2aa91a2e7 Y1 - 2015/// ID - scholars6296 IS - 37-40 N2 - 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. ER -