eprintid: 6595 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/00/65/95 datestamp: 2023-11-09 16:18:23 lastmod: 2023-11-09 16:18:23 status_changed: 2023-11-09 16:07:09 type: conference_item metadata_visibility: show creators_name: Hussain, A. creators_name: Faye, I. creators_name: Muthuvalu, M.S. title: Performance analysis of successive over relaxation method for solving glioma growth model ispublished: pub note: cited By 3; Conference of 4th International Conference on Fundamental and Applied Sciences, ICFAS 2016 ; Conference Date: 15 August 2016 Through 17 August 2016; Conference Code:125141 abstract: Brain tumor is one of the prevalent cancers in the world that lead to death. In light of the present information of the properties of gliomas, mathematical models have been developed by scientists to quantify the proliferation and invasion dynamics of glioma. In this study, one-dimensional glioma growth model is considered, and finite difference method is used to discretize the problem. Then, two stationary methods, namely Gauss-Seidel (GS) and Successive Over Relaxation (SOR) are used to solve the governing algebraic system. The performance of the methods are evaluated in terms of number of iteration and computational time. On the basis of performance analysis, SOR method is shown to be more superior compared to GS method. © 2016 Author(s). date: 2016 publisher: American Institute of Physics Inc. official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85006049749&doi=10.1063%2f1.4968050&partnerID=40&md5=277d05f51d712b8e537a820de2e9e54b id_number: 10.1063/1.4968050 full_text_status: none publication: AIP Conference Proceedings volume: 1787 refereed: TRUE isbn: 9780735414518 issn: 0094243X citation: Hussain, A. and Faye, I. and Muthuvalu, M.S. (2016) Performance analysis of successive over relaxation method for solving glioma growth model. In: UNSPECIFIED.