A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations

Year 2020, , 563 - 575, 01.03.2020

Kadri Doğan

https://doi.org/10.21597/jist.583528

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.

Keywords

Fixed Point Method, Picard-Mann Iterative Method, Newton Iterative Method, Nonlinear Equations, Convergence Analysis

Supporting Institution

Artvin Coruh Univesity

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