Derivation of a Numerical Method with Free Second-order Derivatives | Zendy

Young Hee Geum | Zendy

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Derivation 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.

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