In this paper, we present new algorithms/methods to find a non-zero real root of the
transcendental equations using exponential series. The new proposed method is based on …

This paper presents a new algorithm to find a non-zero real root of the transcendental
equations using trigonometrical formula. Indeed, the new proposed algorithm is based on …

The solutions of equations are usually found using iterative methods whose convergence
order is determined by Taylor expansions. In particular, the local convergence of the method …

Objectives The present paper describes a new algorithm to find a root of non-linear
transcendental equations. It is found that Regula-Falsi method always gives guaranteed …

This paper presents a new algorithm to find a non-zero real root of the transcendental
equations using hyperbolic tangent function. Indeed, the new proposed algorithm is based …

In this manuscript, the study of local convergence analysis for the cubically convergent
Weerakoon–Fernando method is presented to obtain solutions of nonlinear operator …

For the last years, the variants of the Newton's method with cubic convergence have become
popular iterative methods to find approximate solutions to the roots of non-linear equations …

In this paper, we discuss a new algorithm to find a non-zero real root of the transcendental
equations using series expansion. This proposed method is based on the inverse series …

In this paper, we suggest and analyze new three-step iterative methods for solving nonlinear
equations. The analysis of convergence shows that the proposed methods are fourth and …

We present the study of local convergence for a fourth-order convergent nonlinear system
solver under Lipschitz continuous Fréchet derivative in Banach spaces. Our analysis only …