A Collocation Method for Fredholm Integral Equations of the Second Kind

DOI10.2307/2006265zbMath0392.65051OpenAlexW4232070791MaRDI QIDQ4174199

Theodore S. Papatheodorou, Elias N. Houstis

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2006265

zbMATH Keywords

Collocation MethodFredholm Integral Equations of the Second Kind2-Point Gaussian Quadrature FormulaInterpolating PolynomialsInterpolation SchemePiecewise Cubic Polynomials

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items (5)

On the numerical solution of Fredholm integral equations utilizing the local radial basis function method ⋮ Collocation methods for Volterra integrodifferential equations with singular kernels ⋮ Solving boundary value problems via the Nyström method using spline Gauss rules ⋮ Inverses for a class of banded matrices and applications to piecewise cubic approximation ⋮ A numerical method for solving linear integral equations of the second kind on the non-rectangular domains based on the meshless method

Cites Work

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• An Automatic Program for Linear Fredholm Integral Equations of the Second Kind
• Application of Method of Collocation on Lines for Solving Nonlinear Hyperbolic Problems
• Collocation methods for linear elliptic problems
• Collocation at Gaussian Points
• A Finite Element Collocation Method for Quasilinear Parabolic Equations

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