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

• Main Author: Mohamed Azhar, Nur Afiqah
• Format: Thesis
• Language: English
• Published: 2019
• Subjects: Mathematical statistics. Probabilities; Analytical methods used in the solution of physical problems; Evolutionary programming (Computer science). Genetic algorithms; Algorithms
• Online Access: http://ir.uitm.edu.my/id/eprint/40652/1/40652.pdf; http://ir.uitm.edu.my/id/eprint/40652/
• Institution: Universiti Teknologi Mara

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.