newton method을 이용한 수치해석입니다.
3. Experimental Results
Find root using Newton-Raphson method and consider convergence and principle of Newton-Raphson method.
There are several parts of finding root method, closed method and open method. The Closed method consists of graphical method, bisection method, and false position method. And the open method consists of fixed-point iteration, Newton-raphson method, and secant method. Newton-raphson method is considered in report.
Root of initial guess 4.2 : 0.475, 26 times iteration
Root of initial guess 4.43 : 0.475, 10 times iteration
Aerror : approximation percent relative error
AError= (current approximation-previous approoxiamtion)/(current approximation)
Terror : The true percent relative error.
TError=numerical value-analysis value
Chapra외 1명, “Numerical methods for engineers”, Mc graw hill, 2009