In this work, we propose new fourth and eighth order iterative methods for solving the
nonlinear equation f (x)= 0. The proposed methods are of optimal order convergence …

The primary objective of this paper is to develop a new method for root-finding by combining
forward and finite-difference techniques in order to provide an efficient, derivative-free …

In this paper, we propose two novel iteration schemes for computing zeros of nonlinear
equations in one dimension. We develop these iteration schemes with the help of Taylor's …

Root-finding of non-linear equations is one of the most appearing problems in engineering
sciences. Most of the complicated engineering problems can be modeled easily by means of …

In this study, we construct a family of single root finding method of optimal order four and
then generalize this family for estimating of all roots of non-linear equation simultaneously …

The task of root-finding of the non-linear equations is perhaps, one of the most complicated
problems in applied mathematics especially in a diverse range of engineering applications …

Polynomiography is a fusion of Mathematics and Art, which as a software results in a new
form of abstract art. Rendered images are through algorithmic visualization of solving a …

Solving linear systems, often accomplished by iterative algorithms, is a ubiquitous task in
science and engineering. To accommodate the dynamic range and precision requirements …

Solving non-linear equations in different scientific disciplines is one of the most important
and frequently appearing problems. A variety of real-world problems in different scientific …

In the present work, we introduce two novel root‐finding algorithms for nonlinear scalar
equations. Among these algorithms, the second one is optimal according to Kung‐Traub's …