In this article, the numerical solution of nonlinear systems using iterative methods are dealt
with. Toward this goal, a general class of multi-point iteration methods with various orders is …

We developed multi-step iterative method for computing the numerical solution of nonlinear
systems, associated with ordinary differential equations (ODEs) of the form L (x (t))+ f (x (t)) …

Solving nonlinear problems stands as a pivotal domain in scientific exploration. This study
introduces a novel method comprising basic and multi-step components. The proposed …

For solving nonlinear systems of big size, such as those obtained by applying finite
differences for approximating the solution of diffusion problem and heat conduction …

A derivative-free family of iterations without memory consisting of three steps for solving
nonlinear systems of equations is brought forward. Then, the main aim of the paper is …

In this article, we propose a new family of methods, such as Jarratt, with the fifth and sixth
order. This includes some popular methods as special cases. We propose four different …

This paper proposes a multi-step iterative method for solving systems of nonlinear equations
with a local convergence order of 3 m− 4, where m (≥ 2) is the number of steps. The multi …

In this work, first, a family of fourth‐order methods is proposed to solve nonlinear equations.
The methods satisfy the Kung‐Traub optimality conjecture. By develo** the methods into …

In this paper, in order to solve systems of nonlinear equations, a new class of frozen
Jacobian multi-step iterative methods is presented. Our proposed algorithms are …

We present some iterative methods of different convergence orders for solving systems of
nonlinear equations. Their computational complexities are studies. Then, we introduce the …