A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations

Authors : Kadri DOĞAN

Pages : 563-575

Doi:10.21597/jist.583528

View : 10 | Download : 5

Publication Date : 2020-03-01

Article Type : Research Paper

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