title: On a derivative-free variant of king's family with memory.
abstract: The aim of this paper is to construct a method with memory according to King's family of methods without memory for nonlinear equations. It is proved that the proposed method possesses higher R-order of convergence using the same number of functional evaluations as King's family. Numerical experiments are given to illustrate the performance of the constructed scheme.
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
authors.initials: S
authors.lastname: Karimi Vanani
authors.affiliation: Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran.
authors.forename: F
authors.initials: F
authors.lastname: Khaksar 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