Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar

Mohamed Azhar, Nur Afiqah (2019) Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar. Degree thesis, Universiti Teknologi MARA.

Abstract

In the field of science, engineering and natural science, practitioners often faced with the question of finding the exact root of the function. The exact root for simple function is easy to acquire rather than complicated functions. Therefore, numerical method in the form of bracketing method is often used to find only the approximate root of the function. This research tries to approximate the root for ten difference function of trigonometric, polynomial, exponential and logarithmic function using five difference bracketing method which are bisection, n-section, improved n-section, newton and bisection newton like algorithm. The result is based on number of iteration, CPU time and error analysis from three difference tolerance. Numerical result show that the newton’s method is the best bracketing method for finding the root of function.

Metadata

Item Type: Thesis (Degree)
Creators:
CreatorsEmail / ID. Num
Mohamed Azhar, Nur Afiqah2016299222
Contributors:
ContributionNameID Num. / Email
Thesis advisorMohd Ali, Mohd RivaieUNSPECIFIED
Subjects: Q Science > QA Mathematics > Mathematical statistics. Probabilities
Q Science > QA Mathematics > Analysis > Analytical methods used in the solution of physical problems
Q Science > QA Mathematics > Evolutionary programming (Computer science). Genetic algorithms
Q Science > QA Mathematics > Instruments and machines > Electronic Computers. Computer Science > Algorithms
Divisions: Universiti Teknologi MARA, Terengganu > Kuala Terengganu Campus > Faculty of Computer and Mathematical Sciences
Programme: Bachelor of Science (Hons) Computational Mathematics
Item ID: 40652
Uncontrolled Keywords: Root Of Function ; Trigonometric ; Polynomial ; Logarithmic Function
URI: http://ir.uitm.edu.my/id/eprint/40652

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