Kurchatov-type methods for non-differentiable Hammerstein-type integral equations

DOI10.1007/s11075-022-01406-8OpenAlexW4296821873MaRDI QIDQ2700014

Nisha Yadav, Eulalia Martínez, Sukhjit Singh, Miguel Ángel Hernández-Verón

Publication date: 20 April 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-022-01406-8

zbMATH Keywords

divided differencesHammerstein-type integral equationsKurchatov-type iterative processes

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15) Nonlinear operators and their properties (47H99) Numerical analysis (65-XX)

Cites Work

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• A variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type
• On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods
• Application of Euler matrix method for solving linear and a class of nonlinear Fredholm integro-differential equations
• Solving nonlinear integral equations in the Urysohn form by Newton-Kantorovich-quadrature method
• New approach for numerical solution of Hammerstein integral equations
• On a theorem of L.V. Kantorovich concerning Newton's method.
• A uniparametric family of iterative processes for solving nondifferentiable equations
• The secant method for nondifferentiable operators
• On the Newton-Kantorovich hypothesis for solving equations
• Domains of global convergence for Newton's method from auxiliary points
• Nonlinear Fredholm integral equations and majorant functions
• Domains of global convergence for a type of nonlinear Fredholm-Nemytskii integral equations
• Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method
• Application of operational matrices for solving system of linear Stratonovich Volterra integral equation
• Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via a collocation method and rationalized Haar functions
• The convergence ball of the secant method under Hölder continuous divided differences
• The spectral method for solving systems of Volterra integral equations
• Mild Differentiability Conditions for Newton's Method in Banach Spaces
• On nonlinear Fredholm integral equations with non‐differentiable Nemystkii operator
• Newton’s Method: an Updated Approach of Kantorovich’s Theory

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