Some Classes of third and Fourth-order iterative methods for solving nonlinear equations
Numerical Analysis
2013-07-31 v1
Abstract
The object of the present work is to present the new classes of third-order and fourth-order iterative methods for solving nonlinear equations. Our third-order method includes methods of Weerakoon \cite{Weerakoon}, Homeier \cite{Homeier2}, Chun \cite{Chun} e.t.c. as particular cases. After that we make this third-order method to fourth-order (optimal) by using a single weight function rather than using two different weight functions in \cite{Soleymani}. Finally some examples are given to illustrate the performance of the our method by comparing with new existing third and fourth-order methods.
Cite
@article{arxiv.1307.7915,
title = {Some Classes of third and Fourth-order iterative methods for solving nonlinear equations},
author = {J. P. Jaiswal},
journal= {arXiv preprint arXiv:1307.7915},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1307.7334