Author/Authors :
Rahimi، Bijan نويسنده Department of Mathematics,Islamic Azad University, Takestan Branch,Takestan,Iran , , Ghanbari، Behzad نويسنده Faculty of science,Department of Mathematics,Islamic Azad University, Takestan Branch,Takestan,Iran , , Gholami Porshokouhi، Mehdi نويسنده Faculty of science,Department of Mathematics,Islamic Azad University, Takestan Branch,Takestan,Iran ,
Abstract :
In this paper a new family of methods, free from second derivative, is presented. This new family of methods is constructed such that convergence is of order three and requires two require two
evaluations of the function and first derivative per iteration. To
illustrate the efficiency and performance of the new family of methods,
several numerical examples are presented. Further numerical
comparisons are made with several other existing third-order methods
to show the abilities of the presented family of methods.