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Derivative-Free Conformable Iterative Methods for Solving Nonlinear Equations
Fractal and Fractional, 2023 In this manuscript, we use approximations of conformable derivatives for designing iterative methods to solve nonlinear algebraic or trascendental equations.
Giro Candelario +3 more
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Two Efficient Derivative-Free Iterative Methods for Solving Nonlinear Systems
Algorithms, 2016 In this work, two multi-step derivative-free iterative methods are presented for solving system of nonlinear equations. The new methods have high computational efficiency and low computational cost.
Xiaofeng Wang, Xiaodong Fan
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Journal of Inequalities and Applications, 2020 In this paper, we present a class of new derivative-free gradient type methods for large-scale nonlinear systems of monotone equations. The methods combine the RMIL conjugate gradient method, the strategy of hyperplane projection and the derivative-free ...
Xiaowei Fang
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Basin attractors for derivative-free methods to find simple roots of nonlinear equations
Journal 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
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Seventh Order Derivative-Free Methods for Non-differentiable Operator Equations
European 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
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Comparison of some optimal derivative-free three-point iterations
Journal of Numerical Analysis and Approximation Theory, 2020 We show that the well-known Khattri et al. methods and Zheng et al. methods are identical. In passing, we propose a suitable calculation formula for Khattri et al. methods.
Thugal Zhanlav, Khuder Otgondorj
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A New Derivative-Free Method to Solve Nonlinear Equations
Mathematics, 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
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Extended Seventh Order Derivative Free Family of Methods for Solving Nonlinear Equations
Mathematics, 2023 A plethora of applications from Computational Sciences can be identified for a system of nonlinear equations in an abstract space. These equations are mostly solved with an iterative method because an analytical method does not exist for such problems ...
Ramandeep Behl +3 more
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Barekeng, 2022 The variant of Chebyshev-Halley’s method is an iterative method used for solving a nonlinear equation with third order of convergence. In this paper, we present some new variants of three steps Chebyshev-Halley’s method free from second derivative with ...
Yuslenita Muda +3 more
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Optimal Derivative-Free Root Finding Methods Based on Inverse Interpolation
Mathematics, 2019 Finding a simple root for a nonlinear equation f ( x ) = 0 , f : I ⊆ R → R has always been of much interest due to its wide applications in many fields of science and engineering.
Moin-ud-Din Junjua +2 more
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