Comparisons of five numerical methods for finding the roots of nonlinear functions / Atiqah Johari

Most problems in engineering and science field can be in the form of root finding. In addition, the solution of finding the root of function can be solved either in analytical methods and numerical methods. However, these analytical methods are quite complicated and difficult. Researcher tends to use numerical method in the form of bracketing method which is quite simple and easy compared to the analytical method. In this research, five different bracketing method that is Bisection, Regular Falsi, Improved Regular Falsi, n-th section and Improved n-th section method are used to approximate the root of ten different function in the form of trigonometric, polynomial, exponential and logarithmic function. The result is based on number of iteration, CPU time and error analysis from three difference tolerance. Numerical result show that the Improved Regular Falsi is the best method in terms of number of iterations for finding the root of function. Whereas, Regular Falsi is the best method in terms of CPU time.