Universiti Teknologi Malaysia Institutional Repository

Broyden’s and Thomas’ methods for identifying singular roots in nonliner systems

Amir, Ikka Afiqah (2013) Broyden’s and Thomas’ methods for identifying singular roots in nonliner systems. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.

[img]
Preview
PDF
836kB

Official URL: http://dms.library.utm.my:8080/vital/access/manage...

Abstract

Nonlinear systems is one of the mathematical models that is commonly used in the engineering and science fields and it is quite complicated to determine the root especially when the problem is singular. This study is conducted in order to study the performance of Broyden’s and Thomas’ method, which are parts of Quasi-Newton method in solving singular nonlinear systems. By applying the algorithm of each methods, we conduct the calculation to achieve the approximate solutions. MATLAB software is used to compute and present the solutions. Some of useful test problems would describe the properties and usage of the methods. Hence, both methods that have been considered in this study give well approximate solution but Thomas’ method gives better results than Broyden’s method.

Item Type:Thesis (Masters)
Additional Information:Thesis (Sarjana Sains (Matematik)) - Universiti Teknologi Malaysia, 2013; Supervisor : Ismail Kamis
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:78166
Deposited By: Fazli Masari
Deposited On:25 Jul 2018 16:19
Last Modified:25 Jul 2018 16:19

Repository Staff Only: item control page