Solving nonlinear integral equations of Fredholm type with high order iterative methods

DOI10.1016/j.cam.2011.09.009zbMath1234.65040OpenAlexW1980476721MaRDI QIDQ654763

Natalia Romero, José Antonio Ezquerro, Miguel A. Hernández

Publication date: 21 December 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.09.009

zbMATH Keywords

efficiencyiterative methodssemilocal convergenceorder of convergencehybrid methodsnonlinear Fredholm integral equationGaussian quadrature formula

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fredholm integral equations (45B05)

Related Items (9)

An efficient sixth-order Newton-type method for solving nonlinear systems ⋮ A sinc quadrature method for the Urysohn integral equation ⋮ Seventh-order derivative-free iterative method for solving nonlinear systems ⋮ Iterative Processes and Integral Equations of the Second Kind ⋮ Extended ball convergence of a seventh order derivative free method for solving system of equations with applications ⋮ On Steffensen's method on Banach spaces ⋮ Two efficient derivative-free iterative methods for solving nonlinear systems ⋮ A fast sparse spectral method for nonlinear integro-differential Volterra equations with general kernels ⋮ A Qualitative Analysis of a Family of Newton-Like Iterative Process with R-Order of Convergence At Least Three

Cites Work

• Third-order iterative methods with applications to Hammerstein equations: a unified approach
• Application of iterative processes of \(R\)-order at least three to operators with unbounded second derivative
• Geometric constructions of iterative functions to solve nonlinear equations
• On an application of Newton's method to nonlinear operators with \(\omega\)-conditioned second derivative
• An optimization of Chebyshev's method
• A modification of Cauchy's method for quadratic equations
• On a characterization of some Newton-like methods of \(R\)-order at least three
• Results on the Chebyshev method in banach spaces
• Numerical Solvability of Hammerstein Integral Equations of Mixed Type
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