A collocation method for the numerical solution of a two-dimensional integral equation using a quadratic spline quasi-interpolant

DOI10.1007/s11075-012-9598-2zbMath1266.65206OpenAlexW1971140666MaRDI QIDQ1944747

Paul Sablonniere, Chafik Allouch, Driss Sbibih

Publication date: 27 March 2013

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-012-9598-2

zbMATH Keywords

convergencenumerical exampleintegral equationscollocationspline quasi-interpolant

Mathematics Subject Classification ID

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

Related Items (11)

High order numerical algorithms based on biquadratic spline collocation for two-dimensional parabolic partial differential equations ⋮ Quasi-interpolation based on the ZP-element for the numerical solution of integral equations on surfaces in \(\mathbb {R}^3\) ⋮ Algebraic hyperbolic spline quasi-interpolants and applications ⋮ Hybrid function method and convergence analysis for two-dimensional nonlinear integral equations ⋮ Spline quasi-interpolating projectors for the solution of nonlinear integral equations ⋮ Two methods based on bivariate spline quasi-interpolants for solving Fredholm integral equations ⋮ Cubic quasi-interpolation spline collocation method for solving convection-diffusion equations ⋮ A quasi-interpolation product integration based method for solving Love's integral equation with a very small parameter ⋮ Multilevel quadratic spline quasi-interpolation ⋮ Superconvergent methods based on cubic splines for solving linear integral equations ⋮ Non-uniform quasi-interpolation for solving Hammerstein integral equations

Cites Work

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• Superconvergent Nyström and degenerate kernel methods for eigenvalue problems
• Quadratic spline quasi-interpolants and collocation methods
• A fast numerical solution method for two dimensional Fredholm integral equations of the second kind
• Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains
• Superconvergent Nyström and degenerate kernel methods for integral equations of the second kind
• Approximate solution of multivariable integral equations of the second kind
• Piecewise Continuous Collocation for Integral Equations
• The Numerical Solution of Integral Equations of the Second Kind

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