New Iterative Methods With Seventh-Order Convergence For Solving Nonlinear Equations

Author(s):

M. Fardi , M. Ghasemi , A. Davari

Abstract:
In this paper, seventh-order iterative methods for the solution of nonlinear equations are presented. The new iterative methods are developed by using weight function method and using an approximation for the last derivative, which reduces the required number of functional evaluations per step. Several examples are given to illustrate the efficiency and the performance of the new iterative methods.
Keywords:

Iterative methods , Fourth order , Seventh order , Newton , Convergence , Nonlinear

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:3 Issue: 2, Winter - Spring 2012
Pages:
31 to 37
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