Accelerating convergence: a comparative study of Successive Over Relaxation method for solving linear equations / Siti Nur Insyirah Mohd Nasir

This research project focuses on a comparative study of successive over-relaxation (SOR) methods, including Successive Over Relaxation (SOR), Refinement of Successive Over-Relaxation (RSOR), and Scaled Successive Over-Relaxation (SSOR). The objectives of the study are to solve linear equations using...

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Main Author:	Mohd Nasir, Siti Nur Insyirah
Format:	Thesis
Language:	English
Published:	2023
Subjects:	Difference equations Functional equations Delay differential equations Integral equations
Online Access:	https://ir.uitm.edu.my/id/eprint/97922/1/97922.pdf
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id	my-uitm-ir.97922
record_format	uketd_dc
spelling	my-uitm-ir.979222024-07-27T18:10:35Z Accelerating convergence: a comparative study of Successive Over Relaxation method for solving linear equations / Siti Nur Insyirah Mohd Nasir 2023 Mohd Nasir, Siti Nur Insyirah Difference equations. Functional equations. Delay differential equations. Integral equations This research project focuses on a comparative study of successive over-relaxation (SOR) methods, including Successive Over Relaxation (SOR), Refinement of Successive Over-Relaxation (RSOR), and Scaled Successive Over-Relaxation (SSOR). The objectives of the study are to solve linear equations using these methods, analyze their efficiency based on the number of iterations, and determine the best method among them. The project addresses the challenges of determining the value of omega (w), selecting suitable formulas for each method, and identifying the best approximation methods. The significance of the project lies in enhancing the understanding of SOR, RSOR, and SSOR methods, selecting appropriate formulas, and developing techniques for calculating accurate approximations. The research successfully obtains solutions and determines their values based on the provided equations and problem statements. The study concluded that after a comprehensive analysis, the RSOR method proved to be the most efficient among the three methods examined. Ultimately, the goal of identifying the best method was accomplished, with the RSOR method emerging as the most effective approach. This method surpassed both SOR and SSOR methods in terms of solving linear equations, displaying superior efficiency and accuracy. 2023 Thesis https://ir.uitm.edu.my/id/eprint/97922/ https://ir.uitm.edu.my/id/eprint/97922/1/97922.pdf text en public degree Universiti Teknologi MARA, Terengganu College of Computing, Informatics and Mathematics Jaafar, Ruhana
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Jaafar, Ruhana
topic	Difference equations Functional equations Delay differential equations Integral equations
spellingShingle	Difference equations Functional equations Delay differential equations Integral equations Mohd Nasir, Siti Nur Insyirah Accelerating convergence: a comparative study of Successive Over Relaxation method for solving linear equations / Siti Nur Insyirah Mohd Nasir
description	This research project focuses on a comparative study of successive over-relaxation (SOR) methods, including Successive Over Relaxation (SOR), Refinement of Successive Over-Relaxation (RSOR), and Scaled Successive Over-Relaxation (SSOR). The objectives of the study are to solve linear equations using these methods, analyze their efficiency based on the number of iterations, and determine the best method among them. The project addresses the challenges of determining the value of omega (w), selecting suitable formulas for each method, and identifying the best approximation methods. The significance of the project lies in enhancing the understanding of SOR, RSOR, and SSOR methods, selecting appropriate formulas, and developing techniques for calculating accurate approximations. The research successfully obtains solutions and determines their values based on the provided equations and problem statements. The study concluded that after a comprehensive analysis, the RSOR method proved to be the most efficient among the three methods examined. Ultimately, the goal of identifying the best method was accomplished, with the RSOR method emerging as the most effective approach. This method surpassed both SOR and SSOR methods in terms of solving linear equations, displaying superior efficiency and accuracy.
format	Thesis
qualification_level	Bachelor degree
author	Mohd Nasir, Siti Nur Insyirah
author_facet	Mohd Nasir, Siti Nur Insyirah
author_sort	Mohd Nasir, Siti Nur Insyirah
title	Accelerating convergence: a comparative study of Successive Over Relaxation method for solving linear equations / Siti Nur Insyirah Mohd Nasir
title_short	Accelerating convergence: a comparative study of Successive Over Relaxation method for solving linear equations / Siti Nur Insyirah Mohd Nasir
title_full	Accelerating convergence: a comparative study of Successive Over Relaxation method for solving linear equations / Siti Nur Insyirah Mohd Nasir
title_fullStr	Accelerating convergence: a comparative study of Successive Over Relaxation method for solving linear equations / Siti Nur Insyirah Mohd Nasir
title_full_unstemmed	Accelerating convergence: a comparative study of Successive Over Relaxation method for solving linear equations / Siti Nur Insyirah Mohd Nasir
title_sort	accelerating convergence: a comparative study of successive over relaxation method for solving linear equations / siti nur insyirah mohd nasir
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2023
url	https://ir.uitm.edu.my/id/eprint/97922/1/97922.pdf
_version_	1811768879310962688

Accelerating convergence: a comparative study of Successive Over Relaxation method for solving linear equations / Siti Nur Insyirah Mohd Nasir

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