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Extended accelerated overrelaxation iteration techniques in solving heat distribution problems |
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| รหัสดีโอไอ | |
| Creator | Khadeejah James Audu |
| Title | Extended accelerated overrelaxation iteration techniques in solving heat distribution problems |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2565 |
| Journal Title | Songklanakarin Journal of Science an Technology (SJST) |
| Journal Vol. | 44 |
| Journal No. | 5 |
| Page no. | 1232-1237 |
| Keyword | extended accelerated overrelaxation method, discretization, spectral radius, heat transfer, large linear equation system |
| URL Website | https://sjst.psu.ac.th/ |
| ISSN | 0125-3395 |
| Abstract | Several stationary iteration techniques for numerical solutions to special systems of linear equation systems of the form???? = ?? have been studied in an attempt to improve their convergence, suitability, and strength. Among such techniques is theExtended Accelerated Overrelaxation (EAOR) iterative scheme. In this paper, we studied the basics of the EAOR methods andapplied them to compute the solution of a real-life problem, resolving the heat equation when a steady temperature is applied to ametal plate. We show how the real-life problem can be modeled into a partial differential equation, followed by discretizationthrough the use of finite differences, and finally generating a largely sparse system of algebraic linear equations, from which theunknowns are to be solved. The techniques were compared with the Refinement of Accelerated Overrelaxation (RAOR) iterativescheme. The outcome of the numerical tests proves the effectiveness of the EAOR schemes for such problems. |
