A numerical method to solve a class of linear integro-differential equations with weakly singular kernel

DOI10.1002/mma.1559zbMath1241.65124OpenAlexW1935520366MaRDI QIDQ2882441

Şuayip Yüzbaşı, Mehmet Sezer

Publication date: 4 May 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1559

zbMATH Keywords

collocation methodintegro-differential equationsstability analysisnumerical exampleserror boundslinear integro-differential equationsweakly singular kernelcollocation pointsBessel polynomials and seriesAbel's integral equationssingular Volterra 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) Linear integral equations (45A05)

Related Items (4)

An effective collocation technique to solve the singular Fredholm integral equations with Cauchy kernel ⋮ Efficient Chebyshev collocation methods for solving optimal control problems governed by Volterra integral equations ⋮ On the robust stability of Volterra differential-algebraic equations ⋮ Numerical solutions of systems of high-order Fredholm integro-differential equations using Euler polynomials

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