A method for solving the Fredholm integral equation of the first kind

DOI10.1007/s10958-023-06449-3zbMath1521.65146OpenAlexW4376287808MaRDI QIDQ6174454

E. K. Kulikov, Anton A. Makarov

Publication date: 14 July 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06449-3

zbMATH Keywords

Fredholm integral equationregularizationnumerical methods

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the solution of Fredholm integral equations based on spline quasi-interpolating projectors
• A modified Kulkarni's method based on a discrete spline quasi-interpolant
• The regularization method for Fredholm integral equations of the first kind
• Construction of approximation functionals for minimal splines
• Quadratic minimal splines with multiple nodes
• Construction of splines of maximal smoothness
• On approximation by hyperbolic splines
• Galerkin method with new quadratic spline wavelets for integral and integro-differential equations
• On regularization of the solution of integral equations of the first kind using quadrature formulas
• Spline Functions
• Improvement by Iteration for Compact Operator Equations
• Quasi-Interpolation
• On Some Piecewise Quadratic Spline Functions
• On improvement of the iterated Galerkin solution of the second kind integral equations
• A practical guide to splines.

This page was built for publication: A method for solving the Fredholm integral equation of the first kind