An iterative Nyström-based method to solve nonlinear Fredholm integral equations of the second kind (Q6086841)

scientific article; zbMATH DE number 7763840

Language	Label	Description	Also known as
English	An iterative Nyström-based method to solve nonlinear Fredholm integral equations of the second kind	scientific article; zbMATH DE number 7763840

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instance of

scholarly article

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title

An iterative Nyström-based method to solve nonlinear Fredholm integral equations of the second kind (English)

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author

Q6067275

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Mohammad Mehdi Heydari

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published in

Applied Numerical Mathematics

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publication date

10 November 2023

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zbMATH Keywords

Fredholm integral equations

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quasilinearization method

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barycentric quadrature

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Nyström method

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convergence analysis

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.apnum.2023.08.009

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cites work

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A numerical method for solving linear integral equations of the second kind on the non-rectangular domains based on the meshless method

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Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem

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Convergence analysis of a highly accurate Nyström scheme for Fredholm integral equations

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A sigmoid method for some nonlinear Fredholm integral equations of the second kind

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The decomposition method applied to systems of Fredholm integral equations of the second kind.

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Solving Fredholm integral equations of the first kind using Müntz wavelets

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Q5514046

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Linear Barycentric Rational Interpolation with Guaranteed Degree of Exactness

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Rational functions for guaranteed and experimentally well-conditioned global interpolation

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On the Lebesgue constant of barycentric rational interpolation at equidistant nodes

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Hybrid collocation methods for Fredholm integral equations with weakly singular kernels

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Domains of global convergence for a type of nonlinear Fredholm-Nemytskii integral equations

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A Nyström method for a class of Fredholm integral equations of the third kind on unbounded domains

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Barycentric rational interpolation with no poles and high rates of approximation

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Solution of non-linear Fredholm integral equations of the first kind using modified homotopy perturbation method

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Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. II: High dimensional problems

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Approximate solution of nonlinear Fredholm integral equations of the second kind using a class of Hermite interpolation polynomials

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Convergence and error analysis of a spectral collocation method for solving system of nonlinear Fredholm integral equations of second kind

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Linear barycentric rational quadrature

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A New Collocation-Type Method for Hammerstein Integral Equations

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Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels

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Adomian's method for Hammerstein integral equations arising from chemical reactor theory

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Triangular functions (TF) method for the solution of nonlinear Volterra-Fredholm integral equations

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Numerical solution of nonlinear Volterra integral equations using the idea of quasilinearization

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Collocation method for solving two-dimensional nonlinear Volterra-Fredholm integral equations with convergence analysis

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Nyström-quasilinearization method and smoothing transformation for the numerical solution of nonlinear weakly singular Fredholm integral equations

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Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions

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Integral equation formulation for the creeping flow of an incompressible viscous fluid between two arbitrarily closed surfaces, and a possible mathematical model for the brain fluid dynamics

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Piecewise barycentric interpolating functions for the numerical solution of Volterra integro‐differential equations

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Identifiers

zbMATH Open document ID

1526.65058

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DOI

10.1016/j.apnum.2023.08.009

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6086841