On approximation and numerical solution of Fredholm integral equations of second kind using quasi-interpolation

DOI10.1016/j.amc.2011.01.022zbMath1215.65202OpenAlexW1996498115MaRDI QIDQ632874

Werner Varnhorn, Frank Müller

Publication date: 28 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.022

zbMATH Keywords

convergencenumerical resultsFredholm integral equationquasi-interpolationGaussian kernelsNyström's method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Linear integral equations (45A05)

Related Items (11)

A novel computing multi-parametric homotopy approach for system of linear and nonlinear Fredholm integral equations ⋮ Quintic Spline functions and Fredholm integral equation ⋮ Optimal homotopy asymptotic method for solving nonlinear Fredholm integral equations of second kind ⋮ A new Nyström-type method for Fredholm integral equations of the second kind ⋮ A modified approach to numerical solution of Fredholm integral equations of the second kind ⋮ Solving nonlinear integral equations with non-separable kernel via a high-order iterative process ⋮ Note on the integral mean value method for Fredholm integral equations of the second kind ⋮ On accurate solution of the Fredholm integral equations of the second kind ⋮ Performance analysis of Arithmetic Mean method for solving composite 6-point closed Newton–Cotes quadrature algebraic equation ⋮ The reverse interpolation and its application in the numerical solutions of Fredholm integral equations of the second kind ⋮ Convergence analysis of non-polynomial spline functions for the Fredholm integral equation

Cites Work

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• Error estimates for approximate approximations with Gaussian kernels on compact intervals
• Linear integral equations.
• Applications of analysis on nilpotent groups to partial differential equations
• On approximate approximations using Gaussian kernels

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