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.