@inproceedings{scholars4135, journal = {AIP Conference Proceedings}, year = {2014}, publisher = {American Institute of Physics Inc.}, note = {cited By 0; Conference of 3rd International Conference on Fundamental and Applied Sciences: Innovative Research in Applied Sciences for a Sustainable Future, ICFAS 2014 ; Conference Date: 3 June 2014 Through 5 June 2014; Conference Code:112230}, pages = {169--175}, doi = {10.1063/1.4898462}, title = {The arithmetic mean iterative method for solving 2D Helmholtz equation}, volume = {1621}, abstract = {In this paper, application of the Arithmetic Mean (AM) iterative method is extended by solving second order finite difference algebraic equations. The performance of AM method in solving second order finite difference algebraic equations is comparatively studied by their application on two-dimensional Helmholtz equation. Numerical results of AM method in solving two test problems are included and compared with the standard Gauss-Seidel (GS) method. Based on the numerical results obtained, the results show that AM method is better than GS method in the sense of number of iterations and CPU time. {\^A}{\copyright} 2014 AIP Publishing LLC.}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85150897325&doi=10.1063\%2f1.4898462&partnerID=40&md5=44db2d48a3e8230c456b5100701f0235}, issn = {0094243X}, isbn = {9780735412583}, author = {Muthuvalu, M. S. and Akhir, M. K. M. and Sulaiman, J. and Suleiman, M. and Dass, S. C. and Singh, N. S. S.} }