Bernstein series solution of a class of linear integro-differential equations with weakly singular kernel

DOI10.1016/j.amc.2011.01.114zbMath1213.65153OpenAlexW2011618878MaRDI QIDQ716110

Zekeriya Güney, Mehmet Sezer, Osman Rasit Isik

Publication date: 19 April 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.114

zbMATH Keywords

numerical examplesBernstein polynomialserror boundsweakly singular kernellinear Volterra integro-differential equationsAbel's integral 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) Volterra integral equations (45D05)

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Cites Work

• Interpolation and approximation by polynomials
• Numerical solution of Abel's integral equation by using Legendre wavelets
• Solutions of differential equations in a Bernstein polynomial basis
• A Taylor expansion approach for solving integral equations
• Taylor polynomial solutions of Volterra integral equations
• The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials
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