title: On a new iterative scheme without memory with optimal eighth order.
abstract: The purpose of this paper is to derive and discuss a three-step iterative expression for solving nonlinear equations. In fact, we derive a derivative-free form for one of the existing optimal eighth-order methods and preserve its convergence order. Theoretical results will be upheld by numerical experiments.
authors.affiliation: Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran.
authors.forename: M
authors.initials: M
authors.lastname: Sharifi
authors.affiliation: Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran.
authors.forename: S Karimi
authors.initials: SK
authors.lastname: Vanani
authors.affiliation: Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran.
authors.forename: F Khaksar
authors.initials: FK
authors.lastname: Haghani
authors.affiliation: Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran.
authors.forename: M
authors.initials: M
authors.lastname: Arab
authors.affiliation: Department of Mathematics and Applied Mathematics, University of Venda, Thohoyandou 0950, South Africa.
authors.forename: S
authors.initials: S
authors.lastname: Shateyi
mesh_terms: D008962:Models, Theoretical; D017711:Nonlinear Dynamics