@article{scholars6296, doi = {10.12988/ijma.2015.56170}, number = {37-40}, volume = {9}, note = {cited By 2}, title = {Application of four-point MEGMSOR method for the solution of 2D helmholtz equations}, year = {2015}, pages = {1847--1862}, journal = {International Journal of Mathematical Analysis}, publisher = {Hikari Ltd.}, abstract = {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. {\^A}{\copyright} 2015 Mohd Kamalrulzaman Md Akhir et al.}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84938940644&doi=10.12988\%2fijma.2015.56170&partnerID=40&md5=16986e1e7f7fc8490f4184e2aa91a2e7}, issn = {13128876}, author = {Akhir, M. K. M. and Sulaiman, J. and Othman, M. and Majid, Z. A. and Muthuvalu, M. S. and Aruchunan, E.} }