Results 1 to 10 of about 270,433 (113)

A New Derivative-Free Method to Solve Nonlinear Equations

open access: yesMathematics, 2021
A new high-order derivative-free method for the solution of a nonlinear equation is developed. The novelty is the use of Traub’s method as a first step. The order is proven and demonstrated.
Beny Neta
doaj   +3 more sources

Derivative free iterative simultaneous method for finding distinct roots of polynomial equation

open access: yesAlexandria Engineering Journal, 2020
In this article, we present a new derivative free simultaneous method for determining in particular all the distinct roots of polynomial equation. A modification in Weierstrass correction is used to construct tenth order derivative free simultaneous ...
Nazir Ahmad Mir   +4 more
doaj   +3 more sources

A Derivative Approach to Permittivity Extraction from Free-Space S-Parameters Measurements [PDF]

open access: yesSensors
The contactless characterization of dielectric materials at microwave frequencies in terms of permittivity is a long-standing need in materials science and electromagnetic engineering, and free-space techniques are attractive because they require no ...
Giancarlo Bartolucci   +3 more
doaj   +2 more sources

Basin attractors for derivative-free methods to find simple roots of nonlinear equations

open access: yesJournal of Numerical Analysis and Approximation Theory, 2020
 Many methods exist for solving nonlinear equations. Several of these methods are derivative-free. One of the oldest is the secant method where the derivative is replaced by a divided difference.
Beny Neta
doaj   +7 more sources

A derivative-free optimisation method for global ocean biogeochemical models [PDF]

open access: yesGeoscientific Model Development, 2022
The skill of global ocean biogeochemical models, and the earth system models in which they are embedded, can be improved by systematic calibration of the parameter values against observations. However, such tuning is seldom undertaken as these models are
S. Oliver   +4 more
doaj   +1 more source

A kernel derivative free SPH method

open access: yesResults in Applied Mathematics, 2023
Based on smooth particle hydrodynamics (SPH) method, this paper proposes the concept of kernel function moment and studies its properties, and puts forward the KDF-SPH (Kernel Derivative Free SPH: KDF-SPH) method.
Dongyan Feng, Rahmatjan Imin
doaj   +1 more source

Three-Step Derivative-Free Method of Order Six

open access: yesFoundations, 2023
Derivative-free iterative methods are useful to approximate the numerical solutions when the given function lacks explicit derivative information or when the derivatives are too expensive to compute.
Sunil Kumar   +3 more
doaj   +1 more source

Nonlinear fitting of multi-compartmental data using Hooke and Jeeves direct search method

open access: yesOpen Physics, 2021
Compartmental modelling refers to modelling the transport of substances in a system consisting of multiple compartments, which is characterized by the transfer rates among the relevant compartments.
Beni Mehrdad Shahmohammadi, Yu Kwan Ngok
doaj   +1 more source

Seventh Order Derivative-Free Methods for Non-differentiable Operator Equations

open access: yesEuropean Journal of Mathematical Analysis, 2023
In nonlinear problems where function’s derivatives are difficult or expensive to compute, derivative-free iterative methods are good options to find the numerical solution.
Sunil Kumar   +3 more
doaj   +1 more source

Extended Comparison between Two Derivative-Free Methods of Order Six for Equations under the Same Conditions

open access: yesFractal and Fractional, 2022
Under the same conditions, we propose the extended comparison between two derivative free schemes of order six for addressing equations. The existing convergence technique used the standard Taylor series approach, which requires derivatives up to order ...
Samundra Regmi   +3 more
doaj   +1 more source

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