An application of the generalized alternating polynomials to the numerical solution of Fredholm integral equations

DOI10.1007/BF02109184zbMath0791.65100MaRDI QIDQ1315225

V. Pereyra

Publication date: 7 July 1994

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

zbMATH Keywords

convergencecollocation methoderror estimateslinear Fredholm integral equations of the second kindgeneralized alternating polynomials

Mathematics Subject Classification ID

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

Related Items (8)

Two methods based on bivariate spline quasi-interpolants for solving Fredholm integral equations ⋮ About a numerical method of successive interpolations for functional Hammerstein integral equations ⋮ The numerical method of successive interpolations for Fredholm functional integral equations ⋮ Two cubic spline methods for solving Fredholm integral equations ⋮ Spectrally accurate Nyström-solver error bounds for 1-D Fredholm integral equations of the second kind ⋮ Numerical approach for solving neutral differential equation with deviating argument ⋮ Numerical solution of volterra functional integral equation by using cubic B‐spline scaling functions ⋮ Superconvergent methods based on cubic splines for solving linear integral equations

Cites Work

• A method for numerical integration on an automatic computer
• Alternating polynomials associated with the Chebyshev extrema nodes
• Computational Methods for Integral Equations
• Generalized Alternating Polynomials, some Properties and Numerical Applications
• Discrete Collocation Methods for Second Kind Fredholm Integral Equations
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