Performance analysis of successive over relaxation method for solving glioma growth model
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 gr...
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American Institute of Physics Inc.
2016
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my.utp.eprints.305982022-03-25T07:12:06Z Performance analysis of successive over relaxation method for solving glioma growth model Hussain, A. Faye, I. Muthuvalu, M.S. 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). American Institute of Physics Inc. 2016 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85006049749&doi=10.1063%2f1.4968050&partnerID=40&md5=277d05f51d712b8e537a820de2e9e54b Hussain, A. and Faye, I. and Muthuvalu, M.S. (2016) Performance analysis of successive over relaxation method for solving glioma growth model. In: UNSPECIFIED. http://eprints.utp.edu.my/30598/ |
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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). |
format |
Conference or Workshop Item |
author |
Hussain, A. Faye, I. Muthuvalu, M.S. |
spellingShingle |
Hussain, A. Faye, I. Muthuvalu, M.S. Performance analysis of successive over relaxation method for solving glioma growth model |
author_facet |
Hussain, A. Faye, I. Muthuvalu, M.S. |
author_sort |
Hussain, A. |
title |
Performance analysis of successive over relaxation method for solving glioma growth model |
title_short |
Performance analysis of successive over relaxation method for solving glioma growth model |
title_full |
Performance analysis of successive over relaxation method for solving glioma growth model |
title_fullStr |
Performance analysis of successive over relaxation method for solving glioma growth model |
title_full_unstemmed |
Performance analysis of successive over relaxation method for solving glioma growth model |
title_sort |
performance analysis of successive over relaxation method for solving glioma growth model |
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American Institute of Physics Inc. |
publishDate |
2016 |
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-85006049749&doi=10.1063%2f1.4968050&partnerID=40&md5=277d05f51d712b8e537a820de2e9e54b http://eprints.utp.edu.my/30598/ |
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