Two methods based on bivariate spline quasi-interpolants for solving Fredholm integral equations

DOI10.1016/j.apnum.2017.12.016zbMath1382.65465OpenAlexW2782409992MaRDI QIDQ1696829

F. Elmokhtari, Driss Sbibih, Domingo Barrera

Publication date: 15 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.12.016

zbMATH Keywords

tensor productFredholm integral equation of the second kindnumerical testspline quasi-interpolantblending sum

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fredholm integral equations (45B05)

Related Items (12)

Love--Lieb Integral Equations: Applications, Theory, Approximations, and Computations ⋮ Algebraic hyperbolic spline quasi-interpolants and applications ⋮ Generalized spline quasi-interpolants and applications to numerical analysis ⋮ On numerical solution of Fredholm and Hammerstein integral equations via Nyström method and Gaussian quadrature rules for splines ⋮ Trigonometric Hermite interpolation method for Fredholm linear integral equations ⋮ Solving boundary value problems via the Nyström method using spline Gauss rules ⋮ Spline quasi-interpolating projectors for the solution of nonlinear integral equations ⋮ Discrete superconvergent degenerate kernel method for \textit{Fredholm} integral equations ⋮ A quasi-interpolation product integration based method for solving Love's integral equation with a very small parameter ⋮ The reverse interpolation and its application in the numerical solutions of Fredholm integral equations of the second kind ⋮ On spline quasi-interpolation through dimensions ⋮ A multidimensional reverse interpolation method and its application in solving the multidimensional Fredholm integral equations

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