On dynamics of iterative techniques for nonlinear equation with applications in engineering

M Shams, N Ahmad Mir, N Rafiq… - Mathematical …, 2020 - Wiley Online Library
iterative methods (Q1–Q3 and E1–E9). We investigate the regions, from where we take the
initial estimates to achieve the roots of the nonlinear equation… 64-bit operating system). We …

Stability analysis of fourth-order iterative method for finding multiple roots of non-linear equations

A Cordero, JP Jaiswal, JR Torregrosa - … Mathematics and Nonlinear …, 2019 - sciendo.com
… by using each point of the complex plane as initial estimation (we have used a mesh of 800
× … 2013 On a numerical technique for finding multiple zeros and its dynamic J. Egyptian Math. …

[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
iteration schemes for computing the roots of non-linear scalar … includes the system of
non-linear equations and its relevant … The technique of exponential series expansion can also be …

An ellipsoidal Newton's iteration method of nonlinear structural systems with uncertain-but-bounded parameters

Z Qiu, N Jiang - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
evaluating the bounds of nonlinear structural systems with uncertain-but-bounded parameters
in comparison with the Monte-Carlo Simulation and the point-based iteration … of a root, it is …

A New High‐Order and Efficient Family of Iterative Techniques for Nonlinear Models

R Behl, E Martínez - Complexity, 2020 - Wiley Online Library
… efficient iterative technique for solving a system of nonlinear … Here, we consider a higher-order
scheme for simple zeros on … “AbsoluteTiming” in order to calculate the CPU time. We run …

[图书][B] The theory and applications of iteration methods

IK Argyros - 2022 - taylorfrancis.com
… order, non-linear difference equations. In addition, the speed of convergence is estimated
in … assume that g is differentiable in the neighborhood of the root. Approximate function g by …

Iterative method applied to the fractional nonlinear systems arising in thermoelasticity with Mittag-Leffler kernel

W Gao, P Veeresha, DG Prakasha, B Senel… - Fractals, 2020 - World Scientific
nonlinear system of equations representing the one-dimensional Cauchy problem arising in
thermoelasticity. The proposed technique … , the nonlinear system of equations representing …

Hierarchical Newton and least squares iterative estimation algorithm for dynamic systems by transfer functions based on the impulse responses

L Xu, F Ding, Q Zhu - International Journal of Systems Science, 2019 - Taylor & Francis
Iteration is an effective technique, which is used not only in … an estimation algorithm by
combining the nonlinear Newton … three cases of the characteristic roots of Equation (2): single …

Efficacy of optimal methods for nonlinear equations with chemical engineering applications

O Said Solaiman, I Hashim - Mathematical Problems in …, 2019 - Wiley Online Library
… By solving the system of linear equations resulting from the … MPCNH method with other five
iterative methods of order sixteen; … We compare the dynamics of the proposed root finding …

A new optimal root-finding iterative algorithm: local and semilocal analysis with polynomiography

S Qureshi, IK Argyros, A Soomro, K Gdawiec… - Numerical …, 2024 - Springer
… method for finding simple roots of non-linear equations. It is … non-linear equations that
describe the behavior of the systemiteration function, which maps the current estimate of the root