Results 1 to 10 of about 860 (110)
Multipoint Iterative Methods for Finding All the Simple Zeros in an Interval [PDF]
Journal of Applied Mathematics, 2014 Two new families of multipoint without memory iterative methods with eighth- and sixteenth-orders are constructed using the symbolic software Mathematica.
T. Lotfi +4 more
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Multipoint Fractional Iterative Methods with (2α + 1)th-Order of Convergence for Solving Nonlinear Problems [PDF]
Mathematics, 2020 In the recent literature, some fractional one-point Newton-type methods have been proposed in order to find roots of nonlinear equations using fractional derivatives.
Giro Candelario +2 more
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A New Class of Iterative Processes for Solving Nonlinear Systems by Using One Divided Differences Operator [PDF]
Mathematics, 2019 In this manuscript, a new family of Jacobian-free iterative methods for solving nonlinear systems is presented. The fourth-order convergence for all the elements of the class is established, proving, in addition, that one element of this family has order
Alicia Cordero +3 more
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A uniparametric family of three-step eighth-order multipoint iterative methods for simple roots
Applied Mathematics Letters, 2011 A one-parameter family of three-step eighth-order multipoint iterative methods is proposed. The methods require three evaluations of the function and one evaluation of the first derivative. Convergence analysis is given, and numerical experiments show favourable comparison with existing methods.
YoungHee Geum, Young Ik Kim
exaly +2 more sources
Journal of Computational and Applied Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jovana Džunić
exaly +4 more sources
Parametric Family of Root-Finding Iterative Methods: Fractals of the Basins of Attraction
Fractal and Fractional, 2022 Research interest in iterative multipoint schemes to solve nonlinear problems has increased recently because of the drawbacks of point-to-point methods, which need high-order derivatives to increase the order of convergence.
José J. Padilla +3 more
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Local Convergence of an Efficient Multipoint Iterative Method in Banach Space [PDF]
Algorithms, 2020 We discuss the local convergence of a derivative-free eighth order method in a Banach space setting. The present study provides the radius of convergence and bounds on errors under the hypothesis based on the first Fréchet-derivative only. The approaches of using Taylor expansions, containing higher order derivatives, do not provide such estimates ...
Janak Raj Sharma +2 more
openaire +3 more sources
Mathematics, 2021 In this paper, we construct and study a new family of multi-point Ehrlich-type iterative methods for approximating all the zeros of a uni-variate polynomial simultaneously.
Petko D. Proinov, Milena D. Petkova
doaj +1 more source
Boundary Value Problems, 2020 It is difficult to exactly and automatically satisfy nonseparable multipoint boundary conditions by numerical methods. With this in mind, we develop a novel algorithm to find solution for a second-order nonlinear boundary value problem (BVP), which ...
Chein-Shan Liu, Chih-Wen Chang
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Aerospace, 2023 This article addresses the numerical computation problem of induced inflow ratio based on the helicopter momentum theory in forward flight. The Glauert inflow formula (equation) is a nonlinear equation usually solved by the Newton–Raphson method in a ...
Marjan Dodic +4 more
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