2020•Iğdır Üniversitesi Fen Bilimleri Enstitüsü DergisiOpen access

A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations

Kadri Doğan

Abstract

In this study, by using the iterative method discussed in (Kang et al., 2013) and adopting a technique given in details (Biazar and Amirteimoori, 2006) introduced a new hybrid third-order iterative method to solve nonlinear equations derived from the Picard-Mann fixed-point iterative method. Some problems have been solved in order to demonstrate the performance of the established iterative method for the solution of the nonlinear equations.

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Key concepts: Iterative method, Nonlinear system, Iterative and incremental development, Mathematics, Local convergence, Applied mathematics, Third order, Mathematical optimization