A product integration type method for solving nonlinear integral equations in \(L^{1}\)

DOI10.1016/j.apnum.2016.11.006zbMath1357.65318arXiv1602.02132OpenAlexW2964302187MaRDI QIDQ509413

Laurence Grammont, Mario Ahues, Hanane Kaboul

Publication date: 9 February 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02132

zbMATH Keywords

Fredholm integral equationnonlinear equationweakly singular kernelproduct integration method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Singular nonlinear integral equations (45G05)

Related Items

A product integration type method for solving nonlinear integral equations in \(L^{1}\) ⋮ Generalized Jacobi method for linear bounded operators system ⋮ An adapted integration method for Volterra integral equation of the second kind with weakly singular kernel

Cites Work

• Unnamed Item
• Unnamed Item
• A product integration type method for solving nonlinear integral equations in \(L^{1}\)
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Product integration methods for second-kind Abel integral equations
• On the product integration method for solving singular integral equations in scattering theory
• High order product integration methods for a Volterra integral equation with logarithmic singular kernel
• Compactness principles in nonlinear operator approximation theory
• Convergence of Discretizations of Nonlinear Problems. A General Approach
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• The Numerical Evaluation of Fixed Points for Completely Continuous Operators