Efficient inverse fractional neural network-based simultaneous schemes for nonlinear engineering applications

M Shams, B Carpentieri - Fractal and Fractional, 2023 - mdpi.com
Finding all the roots of a nonlinear equation is an important and difficult task that arises
naturally in numerous scientific and engineering applications. Sequential iterative …

[PDF][PDF] Computer Oriented Numerical Scheme for Solving Engineering Problems.

M Shams, N Rafiq, N Kausar, NA Mir… - Comput. Syst. Sci …, 2022 - cdn.techscience.cn
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 …

A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution

O Ogbereyivwe, O Izevbizua - Iranian Journal of Numerical Analysis …, 2023 - ijnao.um.ac.ir
In this manuscript, for approximation of solutions to equations that are nonlinear, a new class
of two-point iterative structure that is based on a weight function involving two converging …

On highly efficient derivative-free family of numerical methods for solving polynomial equation simultaneously

M Shams, N Rafiq, N Kausar, P Agarwal, C Park… - Advances in Difference …, 2021 - Springer
A highly efficient new three-step derivative-free family of numerical iterative schemes for
estimating all roots of polynomial equations is presented. Convergence analysis proved that …

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 …

Inverse family of numerical methods for approximating all simple and roots with multiplicity of nonlinear polynomial equations with engineering applications

M Shams, N Rafiq, N Kausar, SF Ahmed… - Mathematical …, 2021 - Wiley Online Library
A new inverse family of the iterative method is interrogated in the present article for
simultaneously estimating all distinct and multiple roots of nonlinear polynomial equations …

A family of optimal Eighth order iteration functions for multiple roots and its dynamics

S Akram, F Akram, MD Junjua, M Arshad… - Journal of …, 2021 - Wiley Online Library
In this manuscript, we present a new general family of optimal iterative methods for finding
multiple roots of nonlinear equations with known multiplicity using weight functions. An …

[PDF][PDF] Numerical solution and optimal control for fractional Tumor immune model

AMS Mahdy - Journal of Applied Analysis & Computation, 2024 - jaac-online.com
In this article, the numerical model of fractional tumor immunity has been described. The
schematic of a signal flow of the structure model has been discussed. In the formulation of …

Inverse numerical iterative technique for finding all roots of nonlinear equations with engineering applications

M Shams, N Rafiq, B Ahmad, NA Mir - Journal of Mathematics, 2021 - Wiley Online Library
We introduce here a new two‐step derivate‐free inverse simultaneous iterative method for
estimating all roots of nonlinear equation. It is proved that convergence order of the newly …

[PDF][PDF] On Computer Implementation for Comparison of Inverse Numerical Schemes for Non-Linear Equations.

M Shams, N Rafiq, NA Mir, B Ahmad, S Abbasi… - Comput. Syst. Sci …, 2021 - academia.edu
In this research article, we interrogate two new modifications in inverse Weierstrass iterative
method for estimating all roots of non-linear equation simultaneously. These modifications …