An approximation solution of linear Fredholm integro-differential equation using collocation and Kantorovich methods

DOI10.1007/s12190-021-01654-2zbMath1502.65282OpenAlexW3215106740WikidataQ114221190 ScholiaQ114221190MaRDI QIDQ2089278

Hamza Guebbai, Sami Segni, Boutheina Tair, Mourad Ghiat

Publication date: 6 October 2022

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

Full work available at URL: https://doi.org/10.1007/s12190-021-01654-2

zbMATH Keywords

integro-differential equationsFredholm integral equationsiterative methodsprojection methodssystem of integral equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items (2)

On the analytical and numerical study for fractional \(q\)-integrodifferential equations ⋮ An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analytical and numerical study for an integro-differential nonlinear Volterra equation
• Hybrid Legendre polynomials and block-pulse functions approach for nonlinear Volterra-Fredholm integro-differential equations
• Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases
• Analytical and numerical study for an integro-differential nonlinear Volterra equation with weakly singular kernel
• The new operational matrix of integration for the numerical solution of integro-differential equations via Hermite wavelet
• On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term
• Approximate Schur-block ILU preconditioners for regularized solution of discrete ill-posed problems
• Haar wavelet method for nonlinear integro-differential equations
• Theoretical Numerical Analysis
• The Classical Theory of Integral Equations
• New approximation method for Volterra nonlinear integro-differential equation
• Difference derivative for an integro-differential nonlinear Volterra equation
• A Course on Topological Vector Spaces
• Solution of an integro-differential nonlinear equation of Volterra arising of earthquake model

This page was built for publication: An approximation solution of linear Fredholm integro-differential equation using collocation and Kantorovich methods