Some Novel Sixth‐Order Iteration Schemes for Computing Zeros of Nonlinear Scalar Equations and Their Applications in Engineering

MA Rehman, A Naseem… - Journal of Function …, 2021 - Wiley Online Library
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 …

[HTML][HTML] Two new efficient sixth order iterative methods for solving nonlinear equations

OS Solaiman, I Hashim - Journal of King Saud University-Science, 2019 - Elsevier
In this paper, we present two new iterative methods, one of them is second derivative free,
for solving nonlinear equations. We derive these methods based on the Taylor series …

[PDF][PDF] Computational Methods for Non-Linear Equations with Some Real-World Applications and Their Graphical Analysis.

A Naseem, MA Rehman… - Intelligent Automation & …, 2021 - cdn.techscience.cn
In this article, we propose some novel computational methods in the form of iteration
schemes for computing the roots of non-linear scalar equations in a new way. The …

Some Real‐Life Applications of a Newly Designed Algorithm for Nonlinear Equations and Its Dynamics via Computer Tools

A Naseem, MA Rehman, J Younis - Complexity, 2021 - Wiley Online Library
In this article, we design a novel fourth‐order and derivative free root‐finding algorithm. We
construct this algorithm by applying the finite difference scheme on the well‐known …

[PDF][PDF] Three-step iterative method with eighteenth order convergence for solving nonlinear equations

MSM Bahgat, MA Hafiz - International Journal of pure and applied …, 2014 - Citeseer
In this paper, we propose and discuss a new higher-order iterative method for solving
nonlinear equations. This method based on a Halley and Householder iterative method and …

[PDF][PDF] Solving system of non-linear equations using family of Jarratt methods

MQ Khirallah, MA Hafiz - Int. J. Differ. Equ. Appl, 2013 - pdfs.semanticscholar.org
The aim of this paper is generalization fourth order Jarratt formula iterative methods for
solving system of nonlinear equations (SNLE) of n-dimension with n-variables. We present …

[PDF][PDF] Solving nonlinear equations using Two-step optimal methods

MA Hafiz, MSM Bahgat - Annual Review of Chaos Theory, Bifurcations …, 2013 - arctbds.com
Finding iterative methods for solving nonlinear equations is an important area of research in
numerical analysis at it has interesting applications in several branches of pure and applied …

A note on three-step iterative method with seventh order of convergence for solving nonlinear equations

N Srisarakham, M Thongmoon - Thai Journal of Mathematics, 2016 - thaijmath2.in.cmu.ac.th
In this paper, we present a new higher order iterative method for solving nonlinear
equations. This method based on a Halley's iterative method and using predictor-corrector …

[PDF][PDF] Two new predictor-corrector iterative methods with third-and ninth-order convergence for solving nonlinear equations

NY Abdul-Hassan - Math. Theo. Model, 2016 - core.ac.uk
In this paper, we suggest and analyze two new predictor-corrector iterative methods with
third and ninth-order convergence for solving nonlinear equations. The first method is a …

An Efficient Derivative Free Iterative Method and Condition Number of Nonlinear Equations Arising from Real World Phenomena

A Nguni, CS Chacha, AP Mtunya - Tanzania Journal of Science, 2023 - ajol.info
Recent researches have shown a great interest in developing novel numerical methods for
solving nonlinear equations of the form arising from real world phenomena. However, very …