Universiti Teknologi Malaysia Institutional Repository

Broyden's and thomas' methods for identifying singular roots in nonlinear system

Ikka Afiqah Amir, (2013) Broyden's and thomas' methods for identifying singular roots in nonlinear system. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.

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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
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:48172
Deposited By: Haliza Zainal
Deposited On:15 Oct 2015 09:09
Last Modified:28 Aug 2017 12:10

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