A discrete collocation method for Fredholm integro-differential equations with weakly singular kernels

DOI10.1016/j.apnum.2011.01.006zbMath1216.65186OpenAlexW1975652378MaRDI QIDQ716058

Arvet Pedas, Enn Tamme

Publication date: 19 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2011.01.006

zbMATH Keywords

numerical exampleserror analysisproduct integrationgraded griddiscrete collocation methodweakly singular linear integro-differential equations of Fredholm type

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Linear integral equations (45A05)

Related Items (14)

Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains ⋮ A solvability of a problem for a Fredholm integro-differential equation with weakly singular kernel ⋮ Necessary and sufficient conditions for the solvability of linear boundary-value problems for the Fredholm integrodifferential equations ⋮ Jacobi collocation method and smoothing transformation for numerical solution of neutral nonlinear weakly singular Fredholm integro-differential equations ⋮ On one approach to solve the linear boundary value problems for Fredholm integro-differential equations ⋮ An efficient ADI difference scheme for the nonlocal evolution equation with multi-term weakly singular kernels in three dimensions ⋮ Superconvergence of Legendre spectral projection methods for \(m\)th order integro-differential equations with weakly singular kernels ⋮ Criteria for the unique solvability of a linear two-point boundary value problem for systems of integro-differential equations ⋮ Numerical Analysis and Computational Solution of Integro-Differential Equations ⋮ An iterative scheme for solving systems of nonlinear Fredholm integrodifferential equations ⋮ An efficient algorithm for solving Fredholm integro-differential equations with weakly singular kernels ⋮ A solution to a boundary-value problem for integro-differential equations with weakly singular kernels ⋮ Numerical approach for weakly singular equation with nonlinear delay ⋮ TWO-SCALE ESTIMATES FOR SPECIAL FINITE DISCRETE OPERATORS

Cites Work

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• Spline collocation method for integro-differential equations with weakly singular kernels
• Discrete Galerkin method for Fredholm integro-differential equations with weakly singular kernels
• Product Integration for Weakly Singular Integral Equations
• Collocation Methods for Integro-Differential Equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Piecewise Polynomial Collocation for Fredholm Integro-Differential Equations with Weakly Singular Kernels
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• The Deferred Approach to the Limit for Eigenvalues of Integral Equations

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