Iteration methods for Fredholm integral equations of the second kind based on spline quasi-interpolants

DOI10.1016/j.matcom.2013.04.014OpenAlexW2029760506MaRDI QIDQ2229822

Chafik Allouch, Paul Sablonniere

Publication date: 18 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2013.04.014

zbMATH Keywords

iterationsplinesquasi-interpolantsequation integral

Mathematics Subject Classification ID

Numerical analysis (65-XX) Approximations and expansions (41-XX)

Related Items (13)

Quintic Spline functions and Fredholm integral equation ⋮ Construction of Cubature Formulas via Bivariate Quadratic Spline Spaces over Non-Uniform Type-2 Triangulation ⋮ Generalized spline quasi-interpolants and applications to numerical analysis ⋮ Trigonometric Hermite interpolation method for Fredholm linear integral equations ⋮ Two methods based on bivariate spline quasi-interpolants for solving Fredholm integral equations ⋮ Non-uniform UE-spline quasi-interpolants and their application to the numerical solution of integral equations ⋮ Two cubic spline methods for solving Fredholm integral equations ⋮ Discrete septic spline quasi-interpolants for solving generalized Fredholm integral equation of the second kind via three degenerate kernel methods ⋮ A quasi-interpolation product integration based method for solving Love's integral equation with a very small parameter ⋮ A version of the projection-iterative method for the solution of Fredholm integral equations of the second kind ⋮ Superconvergent methods based on cubic splines for solving linear integral equations ⋮ Non-uniform quasi-interpolation for solving Hammerstein integral equations ⋮ Convergence analysis of non-polynomial spline functions for the Fredholm integral equation

Cites Work

• Unnamed Item
• A modified Kulkarni's method based on a discrete spline quasi-interpolant
• Solving Fredholm integral equations by approximating kernels by spline quasi-interpolants
• Product integration methods based on discrete spline quasi-interpolants and application to weakly singular integral equations
• Superconvergence of functional approximation methods for integral equations
• Iteration methods for Fredholm integral equations of the second kind
• Four Variants of the Galerkin Method for Integral Equations of the Second Kind
• The Numerical Solution of Integral Equations of the Second Kind

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