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Some Classes of third and Fourth-order iterative methods for solving nonlinear equations
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.Comment: arXiv admin note: substantial text overlap with arXiv:1307.733
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