Legendre solutions of integral equations with logarithmic kernels

DOI10.1080/00207160701324231zbMath1131.65112OpenAlexW2095766933MaRDI QIDQ5438694

M. R. A. Sakran, A. H. Khater, D. K. Callebaut, Ali B. Shamardan

Publication date: 28 January 2008

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701324231

zbMATH Keywords

numerical resultserror analysisVolterra integral equationsLegendre polynomialslogarithmic kernels

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Singular nonlinear integral equations (45G05)

Related Items (1)

Robust projection method for Fredholm integral equation of the second kind

Cites Work

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• High-order methods for the numerical solution of Volterra integro- differential equations
• Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations
• Weakly Singular Discrete Gronwall Inequalities
• The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
• Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
• Product integration for Volterra integral equations of the second kind with weakly singular kernels

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