AU - Torkashvand, Vali AU - Kazemi, Manochehr AU - Moccari, Mandana TI - Structure a Family of Three-Step with-Memory Methods for Solving Nonlinear Equations and Their Dynamics PT - JOURNAL ARTICLE TA - lu-maco JN - lu-maco VO - 2 VI - 2 IP - 2 4099 - http://maco.lu.ac.ir/article-1-88-en.html 4100 - http://maco.lu.ac.ir/article-1-88-en.pdf SO - lu-maco 2 AB  - In this work, we will first propose an optimal three-step without-memory method for solving nonlinear equations. Then, by introducing the self-accelerating parameters, the with-memory-methods have been built. They have a fifty-nine percentage improvement in the convergence order. The proposed methods have not the problems of calculating the function derivative. We use these Steffensen- type methods to solve nonlinear equations with simple zeroes with the appropri- ate initial approximation of the root. we have solved a few nonlinear problems to justify the theoretical study. Finally, are described the dynamics of the with- memory method for complex polynomials of degree two. CP - IRAN IN - LG - eng PB - lu-maco PG - 119 PT - Research Article YR - 2021