Collocation and modified collocation methods for solving second kind \textit{Fredholm} integral equations in weighted spaces

DOI10.1016/J.APNUM.2024.01.011MaRDI QIDQ6546889

C. Allouch

Publication date: 30 May 2024

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

zbMATH Keywords

collocation methodFredholm integral equationsuperconvergenceJacobi polynomialsinterpolatory projection

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for integral equations, integral transforms (65Rxx) Fredholm integral equations (45Bxx)

Cites Work

• Polynomially based multi-projection methods for Fredholm integral equations of the second kind
• A Nyström method for Fredholm integral equations with right-hand sides having isolated singularities
• A mixed collocation scheme for solving second kind Fredholm integral equations in \([-1,1]\)
• Superconvergent Nyström and degenerate kernel methods for integral equations of the second kind
• Numerical methods for Fredholm integral equations with singular right-hand sides
• Discrete superconvergent degenerate kernel method for \textit{Fredholm} integral equations
• Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules
• Discrete superconvergent Nyström method for integral equations and eigenvalue problems
• A mixed scheme of product integration rules in \((-1,1)\)
• Nyström methods for Fredholm integral equations using equispaced points
• Interpolation Processes
• Improvement by Iteration for Compact Operator Equations
• The Numerical Solution of Integral Equations of the Second Kind
• A projection method for Volterra integral equations in weighted spaces of continuous functions

Related Items (1)

Fredholm integral equations with non-smooth kernels in weighted spaces: Nyström approximations, stability and convergence

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