Project ID: 217
WAN NOR AMIRA BINTI MIOR MOHAMAD SAZALI - CS247
2017696336
Supervisor: MOHD RIVAIE BIN MOHD ALI (DR)
Examiner: MOHD RIVAIE BIN MOHD ALI (DR)
PERFORMANCE COMPARISON OF TWO-STEP METHOD FOR FINDING A MULTIPLE ROOTS OF NONLINEAR EQUATION
Abstract
Most problems in engineering and science field can be in form of root finding. Newton’s method is a basic and important method that use to finding multiple roots. However, this method has its deficiency. Many researchers tend to modify this method to get the best accuracy. In this research, the modified method which are Osada’s method, Schroder’s method, Jarratt-type method and Sharma and Sharma are used to approximate the root of six different function in the form of polynomial function, exponential function, trigonometric function, and logarithm function. The result of this study is based on number of iteration and CPU time. Numerical results show that Osada method is the best method in terms of number of iteration while Schroder’s method is the best in terms of CPU time.