Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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.

11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin