PRODUCT INTEGRATION FOR WEAKLY SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS

DOI10.3846/13926292.2011.564771zbMath1233.65099OpenAlexW1970225056MaRDI QIDQ3172257

Arvet Pedas, Enn Tamme

Publication date: 5 October 2011

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2011.564771

zbMATH Keywords

algorithmsconvergencenumerical examplesproduct integrationpiecewise polynomial collocation methodgraded gridweakly singular integro-differential equationslinear Fredholm integro-differential equations

Mathematics Subject Classification ID

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

Related Items (7)

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 ⋮ Superconvergence of Legendre spectral projection methods for \(m\)th order integro-differential equations with weakly singular kernels ⋮ Piecewise polynomial collocation for linear boundary value problems of fractional differential 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 ⋮ A PROBLEM WITH PARAMETER FOR THE INTEGRO-DIFFERENTIAL EQUATIONS

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