A modified iterated projection method adapted to a nonlinear integral equation

DOI10.1016/j.amc.2015.12.019zbMath1410.65219OpenAlexW2238065949MaRDI QIDQ671043

Laurence Grammont, Paulo B. Vasconcelos, Mario Ahues

Publication date: 20 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.12.019

zbMATH Keywords

integral equationsnonlinear equationsNewton-like methodsiterated projection approximation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) General topics in linear spectral theory for PDEs (35P05) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (8)

Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation ⋮ The numerical solution of Fredholm-Hammerstein integral equations by combining the collocation method and radial basis functions ⋮ Numerical analysis of a collocation method for functional integral equations ⋮ Two Singularity Subtraction Schemes for a Class of Nonlinear Weakly Singular Integral Equations ⋮ The numerical solution of nonlinear integral equations of the second kind using thin plate spline discrete collocation method ⋮ A spectral collocation method with piecewise trigonometric basis functions for nonlinear Volterra-Fredholm integral equations ⋮ On accurate solution of the Fredholm integral equations of the second kind ⋮ A MESHLESS LOCAL GALERKIN METHOD FOR THE NUMERICAL SOLUTION OF HAMMERSTEIN INTEGRAL EQUATIONS BASED ON THE MOVING LEAST SQUARES TECHNIQUE

Uses Software

• quadgk
• quadva

Cites Work

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• The discrete collocation method for nonlinear integral equations
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• The Numerical Solution of Integral Equations of the Second Kind
• On a new Newton-Mysovskii-type theorem with applications to inexact Newton-like methods and their discretizations
• Newton Methods with Hölder Derivative
• Accelerated Projection and Iterated Projection Methods with Applications to Nonlinear Integral Equations

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