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Listar por palabra clave "Divided differences"

Mostrando ítems 1-12 de 12

A family of parametric schemes of arbitrary even order for solving nonlinear models

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria P. (Springer-Verlag, 2017)

[EN] Many problems related to gas dynamics, heat transfer or chemical reactions are modeled by means of partial differential equations that usually are solved by using approximation techniques. When they are transformed ...
A study of the local convergence of a fifth order iterative method

Singh, Sukjith; Martínez Molada, Eulalia; Maroju, P.; Behl, Ramandeep (Springer-Verlag, 2020-06)

[EN] We present a local convergence study of a fifth order iterative method to approximate a locally unique root of nonlinear equations. The analysis is discussed under the assumption that first order Frechet derivative ...
An improvement of derivative-free point-to-point iterative processes with central divided differences

Hernández-Verón, Miguel Angel; Magreñán, Ángel Alberto; Martínez Molada, Eulalia; Singh, Sukhjit (Walter de Gruyter GmbH, 2023-11-21)

[EN] In this article, we introduce a new Steffensen-type method with the advantage that its behavior is very similar to Newton's method; therefore, it is a very remarkable way of avoiding the drawback that Newton's method ...
An improvement of the Kurchatov method by means of a parametric modification

Hernández-Verón, Miguel A.; Yadav, Nisha; Magreñán, A. Alberto; Martínez Molada, Eulalia; Singh, Sukhjit (John Wiley & Sons, 2022-07-30)

[EN] In this work, a uniparametric generalization of the iterative method due to Kurchatov is presented. The iterative model presented is derivative-free and approximates the solution of nonlinear equations when the operator ...
Convergence and dynamics of improved Chebyshev-Secant-type methods for non differentiable operators

Kumar, Abhimanyu; Gupta, D. K.; Martínez Molada, Eulalia; Hueso, José L. (Springer-Verlag, 2021-03)

[EN] In this paper, the convergence and dynamics of improved Chebyshev-Secant-type iterative methods are studied for solving nonlinear equations in Banach space settings. Their semilocal convergence is established using ...
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device

Villalba, Eva G.; Hueso, José L.; Martínez Molada, Eulalia (Taylor & Francis, 2023-09-02)

[EN] It is well known that the Steffensen-type methods approximate the derivative appearing in Newton's scheme by means of the first-order divided difference operator. The generalized multistep Steffensen iterative method ...
Kurchatov-type methods for non-differentiable Hammerstein-type integral equations

Hernández-Verón, M. A.; Yadav, Nisha; Martínez Molada, Eulalia; Singh, Sukhjit (Springer-Verlag, 2023-05)

[EN] We consider a generic type of nonlinear Hammerstein-type integral equations with the particularity of having non-differentiable kernel of Nemystkii type. So, in order to solve it we consider a uniparametric family of ...
Semilocal Convergence for new Chebyshev-type iterative methods

Kumar, Abhimanyu; Gupta, D.K.; Martínez Molada, Eulalia; Hueso, José L.; Cevallos, Fabricio (R. Company, J. C. Cortés, L. Jódar and E. López-Navarro, 2019-07-12)

[EN] In this paper, the convergence of improved Chebyshev-Secant-type iterative methods are studied for solving nonlinear equations in Banach space settings. Its semilocal convergence is established using recurrence relations ...
Semilocal convergence of a Secant-type method under weak Lipschitz conditions in Banach spaces

Kumar, A.; Gupta, D.K.; Martínez Molada, Eulalia; Singh, Sukhjit (Elsevier, 2018)

[EN] The semilocal convergence of double step Secant method to approximate a locally unique solution of a nonlinear equation is described in Banach space setting. Majorizing sequences are used under the assumption that the ...
Solving non-differentiable Hammerstein integral equations via first-order divided differences

Hernández-Verón, M. A.; Magreñán, A. A.; Martínez Molada, Eulalia; Villalba, Eva G. (Springer-Verlag, 2023-12)

[EN] In this paper, the behavior of derivative-free techniques to approximate solutions of nonlinear Hammerstein-type integral equations in Banach space C([alpha,beta]) as alternatives against the well-known Newton's method ...
Solving nonlinear problems by Ostrowski Chun type parametric families

Cordero Barbero, Alicia; Maimo, J.G.; Torregrosa Sánchez, Juan Ramón; Vassileva, M.P. (Springer Verlag (Germany), 2015-01)

In this paper, by using a generalization of Ostrowski' and Chun's methods two bi-parametric families of predictor-corrector iterative schemes, with order of convergence four for solving system of nonlinear equations, are ...
Three-step iterative weight function scheme with memory for solving nonlinear problems

Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula (John Wiley & Sons, 2023-07)

[EN] In this manuscript, we present a parametric family of derivative-free three-step iterative methods with a weight function for solving nonlinear equations. We study various ways of introducing memory to this parametric ...