A Third Order Iterative Method for Finding Zeros of Nonlinear Equations

Tavoosi, Manijheh

Manuscript ID : IJM2C-1902-1091 (R1) Visit : 156 Page: 209 - 216

Article Type: Original Research

A Third Order Iterative Method for Finding Zeros of Nonlinear Equations

Subject Areas : International Journal of Mathematical Modelling & Computations

Manijheh Tavoosi ¹ (Department of Mathematics; Islamic Azad University;Central Tehran Branch)

Received: 2017-02-05 Accepted : 2017-09-08 Published : 2017-08-01

Keywords: ‎Newton's method‎, ‎third-order convergency, ‎iterative method‎, ‎nonlinear equations,

Abstract :

&lrm;In this paper&lrm;, &lrm;we present a new modification of Newton's method&lrm; &lrm;for finding a simple root of a nonlinear equation&lrm;. &lrm;It has been&lrm; &lrm;proved that the new method converges cubically&lrm;.

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 Third Order Iterative Method for Finding Zeros of Nonlinear Equations