Open AccessDerivation of a Numerical Method with Free Second-order Derivatives
Author(s) -
Young Hee Geum
Publication year - 2022
Publication title -
international journal of pure mathematics
Language(s) - English
Resource type - Journals
ISSN - 2313-0571
DOI - 10.46300/91019.2022.9.2
Subject(s) - convergence (economics) , mathematics , constant (computer programming) , derivative (finance) , scheme (mathematics) , numerical analysis , order (exchange) , mathematical analysis , iterative method , variety (cybernetics) , mathematical optimization , computer science , statistics , finance , financial economics , economics , programming language , economic growth
We have proposed the second-derivative-free numerical method and determined the control parameters to converge cubically. In addition, we have developed the order of convergence and the asymptotic error constant. Applying this iterative scheme to a variety of examples, numerical results have shown a successful asymptotic error constants with cubic convergence.