Title of article
Seventh-order iterative algorithm free from second derivative for solving algebraic nonlinear equations
Author/Authors
Fardi, M. Department of Mathematics - Islamic Azad University, Najafabad Branch, Najafabad, Iran , Ghasemi, M. Department of Applied Mathematics - Faculty of mathematical Science - Shahrekord University, Shahrekord, Iran , Kazemi, E. Department of Mathematics - Islamic Azad University, Najafabad Branch, Najafabad, Iran , Ezzati, R. Department of Mathematics - Karaj Branch, Islamic Azad University, Karaj, Iran
Pages
5
From page
25
To page
29
Abstract
In this paper, we introduce an iterative algorithm free from second derivative for solving algebraic nonlinear
equations. The analysis of convergence shows that this iterative algorithm has seventh-order convergence.
Per iteration of the new algorithm requires three evaluations of the function and two evaluation of its rst
derivative. Therefore this algorithm has the eciency index which equals to 1.477. The results obtained using
the algorithm presented here show that the iterative algorithm is very eective and convenient for the algebraic
nonlinear equations.
Keywords
Homotopy analysis method , Iterative algorithm , Nonlinear equation
Journal title
Astroparticle Physics
Serial Year
2013
Record number
2438511
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