A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations

Year 2020, Volume: 10 Issue: 1, 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

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