Quadratic Spline Collocation for the Smoothed Weakly Singular Fredholm Integral Equations

DOI10.1080/01630560903408705zbMath1187.65150OpenAlexW2147503220MaRDI QIDQ3405622

Rene Pallav, Arvet Pedas

Publication date: 10 February 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560903408705

zbMATH Keywords

global convergencesecond kindsmoothing transformationlocal superconvergencequadratic spline collocation methodweakly singular Fredholm integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05)

Related Items

High order numerical algorithms based on biquadratic spline collocation for two-dimensional parabolic partial differential equations, Numerical solution of Volterra integral equations with singularities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multidimensional weakly singular integral equations
• Quadratic interpolatory splines
• Integral equations with diagonal and boundary singularities of the kernel
• Hybrid collocation methods for Fredholm integral equations with weakly singular kernels
• On the regularity of solutions to integral equations with nonsmooth kernels on a union of open intervals
• Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations
• Numerical solutions for weakly singular Hammerstein equations and their superconvergence
• A practical guide to splines
• Singularity preserving Galerkin method for Hammerstein equations with logarithmic kernel
• A collocation method with cubic splines for multidimensional weakly singular nonlinear integral equations
• Smoothing transformation and piecewise polynomial collocation for weakly singular Volterra integral equations
• Quadratic spline collocation for Volterra integral equations
• The collocation method with parabolic splines for integral equations with singularities
• The cubic spline-collocation method for weakly singular integral equations
• Integral equations. Theory and numerical treatment
• Variable transformations in the numerical solution of second kind Volterra integral equations with continuous and weakly singular kernels; extensions to Fredholm integral equations
• Smoothing transformation and piecewise polynomial projection methods for weakly singular Fredholm integral equations
• A Spline Product Quasi-interpolation Method for Weakly Singular Fredholm Integral Equations
• On Weakly Singular Integral Equations of the Second Kind
• The properties of solutions of weakly singular integral equations
• High order methods for weakly singular integral equations with nonsmooth input functions
• Fast Collocation Methods for Second Kind Integral Equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations