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UPSI Digital Repository (UDRep)
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| Total records found : 1 |
| Simplified search suggestions : Aboamemah Ahmed Hadi Mohammed |
| 1 | 2019 Thesis | Numerical study on some iterative methods for solving nonlinear equations by using Scilab programming Aboamemah, Ahmed Hadi Mohammed This research aimed to investigate the most efficient iterative method in solving scalar
nonlinear equations. There are three iterative methods that are used to solve the nonlinear
scalar equations that are Bisection, Secant and Newton Raphson’s methods. These
three iterative methods have different order of convergence. Bisection method is linearly
convergence while Secant method is super linear and Newton-Raphson method
has quadratic convergence. It is well known that the method that has a higher order
of convergence, will perform much faster than others. Seven nonlinear scalar equations
are considered based on the combinations of two or three functions and are solved
by the Bisection, Secant and Newton-Raphson methods using Scilab programming language.
The tolerance used is 10−10 and the performances of these methods are based on
number of function evaluation, number of iterations, and computational or CPU time.
Based on the numerical results of the seven nonlinear equ..... 1755 hits |