A MODIFIED STEFFENSEN'S METHOD WITH MEMORY FOR NONLINEAR EQUATIONS

Khaksar Haghani, Farhad

Manuscript ID : 521880 Visit : 36 Page: 41 - 48

Article Type: Original Research

A MODIFIED STEFFENSEN'S METHOD WITH MEMORY FOR NONLINEAR EQUATIONS

Subject Areas : International Journal of Mathematical Modelling & Computations

Farhad Khaksar Haghani ¹ (Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran Iran, Islamic Republic of)

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2015-03-21

Keywords: Root, Steffensen's method, order, with memory,

Abstract :

In this note, we propose a modification of Steffensen's method with some free parameters. These parameters are then be used for further acceleration via the concept of with memorization. In this way, we derive a fast Steffensen-type method with memory for solving nonlinear equations. Numerical results are also given to support the underlying theory of the article.

References:

Numerical Solution of Nonlinear System of Ordinary Differential Equations by the Newton-Taylor Polynomial and Extrapolation with Application from a Corona Virus Model
Print Date : 2021-12-01
Estimates for the Generalized Fourier-Bessel Transform in the Space L2
Print Date : 2016-11-01
Common Fixed-Point Theorems For Generalized Fuzzy Contraction Mapping
Print Date : 2016-11-01
An efficient method for the numerical solution of Helmholtz type general two point boundary value problems in ODEs
Print Date : 2016-11-01
Multistage Modified Sinc Method for Solving Nonlinear Dynamical Systems
Print Date : 2017-01-01
An Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
Print Date : 2016-11-01

Share To

Article Url

A MODIFIED STEFFENSEN'S METHOD WITH MEMORY FOR NONLINEAR EQUATIONS