A Third Order Iterative Method for Finding Zeros of Nonlinear Equations

Tavoosi, Manijheh

Manuscript ID : IJM2C-1902-1091 (R1) Visit : 249 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

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 :

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

References:

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Multistage Modified Sinc Method for Solving Nonlinear Dynamical Systems
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An Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
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A Third Order Iterative Method for Finding Zeros of Nonlinear Equations