ON FULLY DISCRETE COLLOCATION METHODS FOR SOLVING WEAKLY SINGULAR INTEGRO‐DIFFERENTIAL EQUATIONS

DOI10.3846/1392-6292.2010.15.69-82zbMath1205.65336OpenAlexW2081212527MaRDI QIDQ3567554

Enn Tamme, Raul Kangro

Publication date: 17 June 2010

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

Full work available at URL: https://doi.org/10.3846/1392-6292.2010.15.69-82

zbMATH Keywords

convergence analysisnumerical resultserror estimatesweakly singular integro-differential equationfully discrete collocation methodVolterra and Fredholm integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (6)

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 ⋮ 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 ⋮ A PROBLEM WITH PARAMETER FOR THE INTEGRO-DIFFERENTIAL EQUATIONS

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