This paper is devoted to the study of an iterative class for numerically approximating the
solution of nonlinear equations. In fact, a general class of iterations using two evaluations of …

In this paper, we investigate the construction of some two-step without memory iterative
classes of methods for finding simple roots of nonlinear scalar equations. The classes are …

In this study, we present a new higher-order scheme without memory for simple zeros which
has two major advantages. The first one is that each member of our scheme is derivative …

We derive new iterative methods with memory for approximating a simple zero of a
nonlinear single variable function. To this end, we first consider several modifications on …

We have presented a new optimal fourth order iterative method in this paper. Every iteration
desires one function evaluation and two first derivative evaluations and therefore the …

The Colebrook equation is implicitly given in respect to the unknown flow friction factor λ; λ=
ζ (R e, ε*, λ) which cannot be expressed explicitly in exact way without simplifications and …

In this paper, we discuss iterative methods for solving univariate nonlinear equations. First of
all, we construct a family of methods with optimal convergence rate 4 based upon the Potra …

Nonlinear dynamic analysis of the assembled structures involves the complex nonlinearity of
the joint interfaces. By combining the multi-harmonic balance method with the Newton …

Based on the fourth-order method of Liu et al.[10], eighth-order three-step iterative methods
without memory, which are totally free from derivative calculation and reach the optimal …

In this paper, we proposed a family of n-point iterative methods with and without memory for
solving nonlinear equations. The convergence order of the new n-point iterative methods …