This study shows the link between computer science and applied mathematics. It conducts a
dynamics investigation of new root solvers using computer tools and develops a new family …

In this article, we first construct a family of optimal 2‐step iterative methods for finding a
single root of the nonlinear equation using the procedure of weight function. We then extend …

The considered topic, the dynamic study of new root solvers using computer tools, is actually
a “bridge” between computer science and applied mathematics. The goal of this paper is the …

Nonlinear phenomena occur in various fields of science, business, and engineering.
Research in the area of computational science is constantly growing, with the development …

Iterative methods for solving nonlinear equations f (x)= 0, where f: DCR-→ R, are a useful
technique when the analytical methods are not able to give a closed-form solution. The …

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 …

Complex dynamics tools applied on the rational functions resulting from a parametric family
of roots solvers for nonlinear equations provide very useful results that have been stated in …

In this work, we construct a family of seventh order iterative methods for finding multiple roots
of a nonlinear function. The scheme consists of three steps, of which the first is Newton's …

In this article we develop and propose new numerical methods for solving simple roots of
nonlinear equation f (x) applying construction technique. A new equation v (x) having the …

Numerous branches of applied science and engineering commonly encounter nonlinear
equations that must be solved using effective numerical techniques. This research article …