An efficient two-point iterative method with memory for solving non-linear equations and its dynamics

S Abdullah, N Choubey, S Dara - Journal of Applied Mathematics and …, 2024 - Springer
In this paper, we present a novel class of two-step iterative methods with memory for solving
non-linear equations. By transforming an existing sixth-order scheme without memory into …

Efficient two-step derivative-free iterative methods with memory and their dynamics

X Wang, T Zhang, Y Qin - International Journal of Computer …, 2016 - Taylor & Francis
In this paper, we present a family of three-parameter derivative-free iterative methods with
and without memory for solving nonlinear equations. The convergence order of the new …

[HTML][HTML] Derivative-free families of with-and without-memory iterative methods for solving nonlinear equations and their engineering applications

E Sharma, S Panday, SK Mittal, DM Joița, LL Pruteanu… - Mathematics, 2023 - mdpi.com
In this paper, we propose a new fifth-order family of derivative-free iterative methods for
solving nonlinear equations. Numerous iterative schemes found in the existing literature …

[HTML][HTML] Family of multipoint with memory iterative schemes for solving nonlinear equations

N Choubey, JP Jaiswal, A Choubey - International Journal of Applied and …, 2022 - Springer
In this article, we proposed a two-step with memory iterative scheme for solving nonlinear
equations. We improved the convergence order of the existing fifth-order without memory …

[HTML][HTML] A New Adaptive Eleventh-Order Memory Algorithm for Solving Nonlinear Equations

S Panday, SK Mittal, CE Stoenoiu, L Jäntschi - Mathematics, 2024 - mdpi.com
In this article, we introduce a novel three-step iterative algorithm with memory for finding the
roots of nonlinear equations. The convergence order of an established eighth-order iterative …

[HTML][HTML] Several two-point with memory iterative methods for solving nonlinear equations

N Choubey, B Panday, JP Jaiswal - Afrika matematika, 2018 - Springer
In this article, our main motivation is to present two-step with memory iterative methods for
solving nonlinear equations. We attempted to convert the existing fourth-order without …

Efficient n-point iterative methods with memory for solving nonlinear equations

X Wang, T Zhang - Numerical Algorithms, 2015 - Springer
In this paper, we proposed a family of n-point iterative methods with and without memory for
solving nonlinear equations. The convergence order of the new n-point iterative methods …

A family of Newton-type iterative methods using some special self-accelerating parameters

X Wang - International Journal of Computer Mathematics, 2018 - Taylor & Francis
In this paper, a family of Newton-type iterative methods with memory is obtained for solving
nonlinear equations, which uses some special self-accelerating parameters. To this end, we …

Sixth order derivative free family of iterative methods

SK Khattri, IK Argyros - Applied mathematics and Computation, 2011 - Elsevier
In this study, we develop a four-parameter family of sixth order convergent iterative methods
for solving nonlinear scalar equations. Methods of the family require evaluation of four …

[PDF][PDF] A new two step class of methods with memory for solving nonlinear equations with high efficiency index

T Lotfi, P Assari - International Journal of Mathematical Modelling …, 2014 - researchgate.net
It is attempted to extend a two-step without memory method to its with memory. Then, a new
two-step derivative free class of without memory methods, requiring three function …